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%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.27",
%%%     date            = "24 May 2024",
%%%     time            = "16:31:24 MDT",
%%%     filename        = "hartree-douglas-r.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "11461 19792 95228 942782",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Appleton--Hartree equation; bibliography;
%%%                        BibTeX; Buneman--Hartree condition; Buneman
%%%                        algorithm (Fast Poisson Solver); Buneman
%%%                        instability; Buneman potential;
%%%                        Crank--Nicolson method for finite
%%%                        differences; determinantal wavefunctions;
%%%                        Douglas Rayner Hartree; Hartree unit;
%%%                        Hartree--Fock method; quantum chemistry;
%%%                        self-consistent field (SCF); SPLASH (Stanford
%%%                        Particle Algorithm Solver); TRISTAN
%%%                        (Tri-dimensional Stanford code)",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography works by, and about,
%%%                        the English computer scientist, engineer,
%%%                        mathematician, and physicist Douglas Rayner
%%%                        Hartree FRS (27 March 1897--12 February
%%%                        1958).  Rayner is his mother's maiden name,
%%%                        and she was the first woman mayor of
%%%                        Cambridge, UK (see p. 138 of entry
%%%                        Gavroglou:2011:DRH).
%%%
%%%                        NB: In most of Hartree's publications, he
%%%                        used the author name D. R. Hartree, and we
%%%                        generally follow that here.  However, for
%%%                        co-authors, when expansions of initials can
%%%                        be found, they are used instead, in the
%%%                        interests of reducing ambiguity in author
%%%                        names.
%%%
%%%                        Douglas Hartree is reported by his family to
%%%                        have rarely kept copies of his extensive
%%%                        correspondence with fellow scientists, but
%%%                        the UK National Archives include records of
%%%                        letters to him by others, including several
%%%                        from Sir Lawrence Bragg.  Thus, it would be
%%%                        difficult for a historian to create a book
%%%                        about those exchanges, as has been done for
%%%                        Born--Einstein, Jung--Pauli, Meitner--von
%%%                        Laue, and other pairs.
%%%
%%%                        During World War I (1914--1918), Douglas
%%%                        Hartree interrupted his undergraduate studies
%%%                        at the University of Cambridge in 1915 to
%%%                        join his engineer father, William Hartree (8
%%%                        April 1870--27 April 1943), to work on
%%%                        numerical computations.  The two continued to
%%%                        collaborate until William Hartree's death.
%%%                        As Darwin's biographical memoir for Douglas
%%%                        Hartree (see entry Darwin:1958:DRH) notes:
%%%
%%%                            ... the relationship, was an exceptional
%%%                            one, because the son was the leader and
%%%                            the father ranked as the junior in this
%%%                            work.
%%%
%%%                        Hartree's work during World War I was on
%%%                        modeling anti-aircraft gunnery and
%%%                        ballistics, and he was commissioned as a
%%%                        Lieutenant in the Royal Naval Volunteer
%%%                        Reserve.  Darwin's memoir reports on page 14:
%%%
%%%                            His [Douglas Hartree's] main activity was
%%%                            in the integration of the differential
%%%                            equations for trajectories, and in this
%%%                            at the age of 20 he introduced a reform
%%%                            which may not now seem very
%%%                            revolutionary, but which must have been
%%%                            rather disturbing for the older
%%%                            practitioners of the science. By
%%%                            tradition the angle of elevation of the
%%%                            trajectory had always been used as the
%%%                            independent variable, and the
%%%                            co-ordinates and the time were expressed
%%%                            in terms of it. He showed that there
%%%                            would be great advantages in using the
%%%                            time itself as the independent variable,
%%%                            and expressing all the other quantities
%%%                            in terms of that. He introduced this
%%%                            practice and it is now generally
%%%                            accepted.
%%%
%%%                        After the war, in 1919, Douglas Hartree
%%%                        resumed his undergraduate studies at
%%%                        Cambridge, earning in 1922 a Bachelor of Arts
%%%                        degree with First Class Honours in Part I of
%%%                        the Mathematical Tripos, and Second Class
%%%                        Honours in Part II of the Natural Sciences
%%%                        Tripos.  He remained at the University of
%%%                        Cambridge for graduate studies in physics
%%%                        under Ralph Howard Fowler, and completed his
%%%                        doctorate in 1926 under [then] Sir [later
%%%                        Lord] Ernest Rutherford (Nobel Prize in
%%%                        Chemistry in 1908), Fowler's father-in-law.
%%%
%%%                        [Check: sources disagree on Hartree's
%%%                        doctoral advisor: some say Fowler, but the
%%%                        Mathematics Genealogy Project says
%%%                        Rutherford.]
%%%
%%%                        Hartree spent several months (late August,
%%%                        1928--spring, 1929) with Niels Bohr's group
%%%                        in Copenhagen, Denmark.  That was a
%%%                        productive visit, and he collaborated there
%%%                        with the Swedish physicist Ivar Waller on an
%%%                        important paper that we mention later.
%%%
%%%                        From October 1929 to 1937, Douglas Hartree
%%%                        held the Boyer Chair of Applied Mathematics
%%%                        in the University of Manchester.  He was
%%%                        elected as a Fellow of the Royal Society on 5
%%%                        May 1932, at the age of 35.  In 1937, he
%%%                        became Chair of Theoretical Physics at
%%%                        Manchester, but spent most of the period
%%%                        1940--1945 on leave, working with the
%%%                        Ministry of Supply on wartime projects.
%%%
%%%                        Douglas Hartree's activities at the Ministry
%%%                        of Supply included directing two groups, one
%%%                        solving differential equations with the
%%%                        differential analyzers (some of which was
%%%                        related to the development of nuclear
%%%                        weapons), and the other working on the theory
%%%                        and analysis of the magnetron, an important
%%%                        component in the new radar systems that were
%%%                        critical for air and naval operations.
%%%
%%%                        Douglas Hartree was elected President of the
%%%                        Manchester Literary and Philosophical Society
%%%                        in 1939, and in 1945, became Professor of
%%%                        Engineering Physics at the University of
%%%                        Manchester.  In 1946, he returned to the
%%%                        University of Cambridge as the Plummer
%%%                        Professor of Mathematical Physics, succeeding
%%%                        his graduate advisor, Ralph H. Fowler.  In
%%%                        1948, for several months, he was Acting
%%%                        Director of the Numerical Analysis Institute,
%%%                        National Bureau of Standards, UCLA, in Los
%%%                        Angeles, California.  Hartree held his
%%%                        position at Cambridge until his death on 12
%%%                        February 1958, at the age of just 61.  See
%%%                        entries Hartree:1958:NTP and
%%%                        SwirlesJeffreys:1987:DRH for reports of his
%%%                        death.
%%%
%%%                        Some quotes from Darwin's memoir about
%%%                        Hartree give a flavor of the significance of
%%%                        Hartree's work:
%%%
%%%                            [p. 104] In the work he undertook his
%%%                            unselfishness was outstanding in the
%%%                            sense that he was always ready to help
%%%                            people with their problems, even at the
%%%                            expense of his own work. Actually this
%%%                            was perhaps a good thing, because there
%%%                            were a number of other people attacking
%%%                            the same kinds of problem in atomic
%%%                            physics as he was, so that the work would
%%%                            have been done anyhow, whereas there was
%%%                            no one in the world with the same gift
%%%                            for putting into shape any problem that
%%%                            was susceptible to numerical analysis.
%%%
%%%                            [p. 104] He played the piano, but his
%%%                            main activity in music was in an
%%%                            orchestra where he played the drums, and
%%%                            sometimes acted as conductor. [Page 526
%%%                            of entry Simoes:2000:QCG reports that
%%%                            Hartree also founded the Faculty of Music
%%%                            at Manchester University, and was its
%%%                            first Dean].
%%%
%%%                            [p. 105] He considered later that the
%%%                            most important event in his scientific
%%%                            career was a visit to Cambridge paid by
%%%                            Niels Bohr in 1921, who gave a course of
%%%                            lectures on the [old] quantum theory.
%%%
%%%                            [p. 106] He also did work on various
%%%                            details of the Bohr atom model in the
%%%                            course of which he estimated the
%%%                            corrections that might be expected for
%%%                            various atomic energy levels on account
%%%                            of the inner shells of electrons. All
%%%                            this work was the germ that later
%%%                            flowered into one of his major
%%%                            contributions to physics, that of the
%%%                            self-consistent Field.
%%%
%%%                            [p. 107] Working in this manner he
%%%                            attacked problems very much more advanced
%%%                            than others had attempted. For example,
%%%                            sometimes working in conjunction with his
%%%                            father, he solved the problem for such
%%%                            elements as copper and even mercury. All
%%%                            this work was being done with pencil and
%%%                            paper, but the situation was changed
%%%                            about this time, when Vannevar Bush
%%%                            developed his differential analyzer in
%%%                            America. This immediately excited
%%%                            Hartree's interest.
%%%
%%%                            [p. 107] Hartree saw that this machine
%%%                            would much lighten the very heavy
%%%                            numerical work of his computations on
%%%                            self-consistent fields. He therefore made
%%%                            a journey to Boston to see the machine
%%%                            work, and on returning home he set up one
%%%                            for himself, the first model being made
%%%                            in 1934 of Meccano [a well-known British
%%%                            toy modeling system, similar to the
%%%                            American Erector sets] parts [see entry
%%%                            Hartree:1938:MID]. Starting from this,
%%%                            with the help of A. [Arthur] Porter, he
%%%                            obtained a number of results and later,
%%%                            again with his help and aided by a
%%%                            generous gift of 6000 pounds from Sir
%%%                            Robert McDougall, in 1935 he had a much
%%%                            larger machine made. This was later
%%%                            copied in other places, but for long it
%%%                            was much the largest, best and certainly
%%%                            most used differential analyzer outside
%%%                            America.
%%%
%%%                            [p. 109] The differential analyzer had
%%%                            scarcely become a well-established
%%%                            instrument when signs began to appear
%%%                            that it would be replaced by an even more
%%%                            powerful instrument, the electronic
%%%                            digital computer, and in the development
%%%                            of this Hartree again played an important
%%%                            part. The first such instrument, the
%%%                            ENIAC, was set up in America for the
%%%                            special purpose of calculating the
%%%                            trajectories of projectiles. Its
%%%                            potentialities had not been much
%%%                            developed by the end of the war, and one
%%%                            of the first acts of the designers was to
%%%                            send for Hartree so as to get him to
%%%                            advise them in its use.
%%%
%%%                            [p. 111] In his inaugural address as
%%%                            Plummer Professor in Cambridge in 1946 he
%%%                            said: `It may well be that the high-speed
%%%                            digital computor [sic] will have as great
%%%                            an influence on civilization as the
%%%                            advent of nuclear power.'
%%%
%%%                            [p. 111] One of the most important
%%%                            contributions made to mathematics by
%%%                            Hartree has been his books, and in
%%%                            particular the book entitled Numerical
%%%                            Analysis which first came out in 1952;
%%%                            the second edition, amended in a few
%%%                            ways, only actually appeared after his
%%%                            death.  Numerical analysis may be an
%%%                            austere subject, but he succeeded in
%%%                            producing a real work of art on it.
%%%
%%%                            [p. 111] Anyone intending to undertake a
%%%                            serious piece of calculation should
%%%                            realize that adequate checking against
%%%                            mistakes is an essential part of any
%%%                            satisfactory numerical process. No one,
%%%                            and no machine, is infallible, and it may
%%%                            fairly be said that the ideal to aim at
%%%                            is not to avoid mistakes entirely, but to
%%%                            find all mistakes that are made, and so
%%%                            free the work from any unidentified
%%%                            mistakes.
%%%
%%%                            [p. 111] There are also a number of other
%%%                            examples where his practical experience
%%%                            contradicts the results given in most
%%%                            books. Thus he indicates that even the
%%%                            common formula for the solution of an
%%%                            ordinary quadratic equation with one
%%%                            unknown, as given in elementary books on
%%%                            algebra, is often nearly useless, in
%%%                            particular when the two roots are far
%%%                            apart.
%%%
%%%                            [pp. 111--112] ...  in dealing with the
%%%                            solution of linear simultaneous equations
%%%                            with many unknowns he says that there
%%%                            are many different ways appropriate in
%%%                            various cases, but `though there may be
%%%                            no one best way of evaluating the
%%%                            solution, it can be said with some
%%%                            certainty that the direct evaluation of
%%%                            the determinants and of the expression
%%%                            for the solution in terms of them is
%%%                            never the best way ...' although in fact
%%%                            this is given as the complete answer in
%%%                            many books on algebra.
%%%
%%%                            [p. 112] The older mathematicians who had
%%%                            to do numerical work would certainly have
%%%                            regarded logarithms as the key to such
%%%                            work, but logarithms have now gone so
%%%                            much out of use that, apart from
%%%                            occasional references to the slide-rule,
%%%                            they are never mentioned in the text, and
%%%                            in the index of this work there is not to
%%%                            be found any entry under the word
%%%                            `logarithm'.
%%%
%%%                        The development of modern quantum theory,
%%%                        primarily during the years 1900--1930, in
%%%                        physics soon led to the need for
%%%                        computational solutions of quantum equations,
%%%                        and Douglas Hartree's strong background in
%%%                        applied mathematics and use of mechanical
%%%                        calculators made him eminently suited to
%%%                        developing suitable algorithms for their
%%%                        solution.
%%%
%%%                        One of his first approaches expressed the
%%%                        quantum wavefunction as a product of
%%%                        one-particle functions, and he showed how to
%%%                        reduce a complicated N-particle problem to a
%%%                        set of coupled differential equations, one
%%%                        for each particle, each of which could be
%%%                        solved in turn from a suitable starting
%%%                        guess, and the process iterated until
%%%                        acceptable numerical convergence was reached:
%%%                        a ``self-consistent field (SCF)''.  That now
%%%                        widely used term is often credited to Douglas
%%%                        Hartree, but he learned of the idea from an
%%%                        earlier visitor to the Bohr Institute, Robert
%%%                        Bruce Lindsay (see entries Lindsay:1924:U).
%%%
%%%                        It is not clear whether Hartree and Lindsay
%%%                        communicated in the 1920s via letter, or
%%%                        whether the SCF idea had become common lore
%%%                        at the Bohr Institute: their visits to
%%%                        Copenhagen were six years apart.  See entry
%%%                        Martinez:2016:HFM for a discussion.
%%%
%%%                        Lindsay's autobiography (entries
%%%                        Lindsay:1985:IARa and Lindsay:1985:IARb)
%%%                        suggests that Lindsay himself made little use
%%%                        of the idea, and that it was Douglas Hartree
%%%                        who made significant use of the SCF method,
%%%                        despite the enormous tedium of doing this
%%%                        with mechanical calculators.  Lindsay and
%%%                        Hartree had substantial letter correspondence
%%%                        in the 1930s, and were able to meet in person
%%%                        in Manchester in May 1937.
%%%
%%%                        The technique of a product of one-particle
%%%                        functions, and iterated solutions of
%%%                        one-particle wavefunction, is referred to as
%%%                        ``Hartree's method'' in the chemistry and
%%%                        physics literature of the time.
%%%
%%%                        However, it was soon realized that a simple
%%%                        product of one-particle functions failed to
%%%                        guarantee a critical symmetry property of the
%%%                        N-particle wavefunction: it must be symmetric
%%%                        for particles of integer spin (known as
%%%                        bosons), and antisymmetric for particles of
%%%                        half-integer spin (known as fermions).
%%%                        Without that symmetry, it is not possible to
%%%                        guarantee computational bounds on the
%%%                        solution of the wave equation.
%%%
%%%                        The simplest way to supply that symmetry is
%%%                        to replace the product by a special form of a
%%%                        matrix: a permanent for bosons (particles of
%%%                        integral spin: 0, 1, 2, ...), and a
%%%                        determinant for fermions (particles of
%%%                        half-integral spin: 1/2, 3/2, 5/2, ...).  The
%%%                        latter are the most important for the study
%%%                        of atoms, molecules, and solids.  The need to
%%%                        enforce this symmetry relation was
%%%                        independently discovered four times in 1929:
%%%
%%%                            Entry Waller:1929:ITS
%%%
%%%                                Ivar Waller (11 June 1898--12 April
%%%                                1991)
%%%                                Uppsala, Sweden
%%%
%%%                                Douglas Rayner Hartree (27 March
%%%                                1897--12 February 1958)
%%%                                Manchester, UK
%%%
%%%                                Joint work by Waller and Hartree done
%%%                                at the Niels Bohr Institute in
%%%                                Copenhagen, Denmark
%%%
%%%                                Received 29 January 1929, published
%%%                                May 1929.
%%%
%%%                            Entry Dirac:1929:QMM
%%%
%%%                                Paul Adrien Maurice Dirac
%%%                                (8 August 1902--20 October 1984)
%%%                                Cambridge, UK
%%%
%%%                                Received 12 March 1929, published 6
%%%                                April 1929.
%%%
%%%                            Entry Slater:1929:TCS
%%%
%%%                                John Clarke Slater (22 December
%%%                                1900--25 July 1976)
%%%                                Harvard University, Cambridge, MA,
%%%                                USA
%%%
%%%                                Received 7 June 1929, published 15
%%%                                November 1929.
%%%
%%%                            Entry Fock:1930:NLQ
%%%
%%%                                Vladimir Aleksandrovich Fock
%%%                                (22 December 1898--27 December
%%%                                1974)
%%%                                Leningrad, USSR
%%%
%%%                                Presented at the Russian
%%%                                Physico-Chemical Society in Leningrad
%%%                                (1924--1991) [Petrograd (1914--1924),
%%%                                Saint Petersburg before 1914, and
%%%                                since 1991] on 17 December 1929
%%%
%%%                                Received 21 February 1930, published
%%%                                January 1920.
%%%
%%%                        Another paper that contributed to the
%%%                        understanding and computational justification
%%%                        of Hartree's method was by the English
%%%                        physicist John Arthur Gaunt (1904--1944) [see
%%%                        entries Gaunt:1928:THA and Califano:2012:PMC
%%%                        (page 181)], who, like Hartree, worked in
%%%                        Fowler's research group. Gaunt did not
%%%                        mention determinants, but he discussed
%%%                        symmetry requirements, and used first- and
%%%                        second-order perturbations to analyze
%%%                        solutions of the wave equation.  His paper
%%%                        was read before the Cambridge Philosophical
%%%                        Society on 27 February 1928, 11 months before
%%%                        the Waller--Hartree paper, and was submitted
%%%                        two months after Hartree's trilogy (see
%%%                        entries Hartree:1928:WMA{a,b,c}) was
%%%                        presented at the Cambridge Philosophical
%%%                        Society in November 1927.
%%%
%%%                        Pages 192--193 of entry
%%%                        SwirlesJeffreys:1987:DRH report that both
%%%                        Fock in Leningrad, and Gaunt in Hong Kong,
%%%                        worked on gunnery table computations during
%%%                        World War II, as the Hartrees had done during
%%%                        World War I.  Gaunt died in prisoner-of-war
%%%                        camp Shumshuipo in Hong Kong in January 1944.
%%%
%%%                        The Gaunt coefficients, integrals of products
%%%                        of Legendre functions or spherical harmonics,
%%%                        are named after him: see entry
%%%                        Gaunt:1929:ITH.
%%%
%%%                        Dirac discussed particle permutations, but
%%%                        did not use determinants, nor did he
%%%                        reference the Waller/Hartree paper.
%%%
%%%                        Slater referred to the Dirac and
%%%                        Waller/Hartree papers, but simplified their
%%%                        work, and also introduced the spin property
%%%                        into the computation.  According to page 192
%%%                        of entry SwirlesJeffreys:1987:DRH, Slater
%%%                        visited Hartree in early 1930 [in
%%%                        Manchester], and several sources suggest that
%%%                        they maintained extensive correspondence for
%%%                        many years.
%%%
%%%                        Fock mentioned the Waller/Hartree work, but
%%%                        without a literature citation.  He did not
%%%                        cite the Dirac and Slater work. See entry
%%%                        Martinez:2018:VFI for a dissertation on
%%%                        Fock's work.
%%%
%%%                        Slater determinants, as they are now widely
%%%                        known, are the building blocks for
%%%                        representing wavefunctions, and the
%%%                        computational algorithm that uses just a
%%%                        single determinant is called the
%%%                        ``Hartree--Fock method'', giving credit also
%%%                        to Fock.  Some authors since then also honor
%%%                        Slater, using the name
%%%                        ``Hartree--Fock--Slater method''.
%%%
%%%                        The first published mention of the phrase
%%%                        ``Hartree--Fock method'' is believed to be
%%%                        due to Igor Tamm and D. Blochinzev (entry
%%%                        Tamm:1932:AEM): see page 6 of entry
%%%                        Martinez:2016:HFM.  However, page 84 of entry
%%%                        Martinez:2018:VFI reports that the term did
%%%                        not become widespread until the 1950s.
%%%
%%%                        The qualifiers ``Hartree--Fock--Dirac'' and
%%%                        ``Dirac--Fock'' are also encountered, but
%%%                        generally refer to inclusion of relativistic
%%%                        effects, as introduced by Dirac in 1928.
%%%
%%%                        The building blocks of single-particle
%%%                        functions are often called ``Slater-type
%%%                        orbitals'' (STOs), implying use of
%%%                        exponentials of scaled radial distances.
%%%                        That choice is inspired by the exact
%%%                        solutions of the quantum mechanical wave
%%%                        equation for the hydrogen atom, which have
%%%                        the same exponential behavior.
%%%
%%%                        Later, in August 1949, Samuel Francis
%%%                        (`Frank') Boys in Cambridge (see entries
%%%                        Boys:1950:EWF and Coulson:1973:SFB) proposed
%%%                        instead the use of exponentials with squared
%%%                        distances, called ``Gaussian-type orbitals''
%%%                        (GTOs), because they enormously simplify the
%%%                        computation of two-, three-, and four-center
%%%                        integrals needed in molecular calculations,
%%%                        despite their incorrect limiting behavior for
%%%                        large distances.  That representational error
%%%                        is mitigated by the fact that the
%%%                        contributions to total energies, and most
%%%                        atomic and molecular properties, in that
%%%                        region are tiny.
%%%
%%%                        Recently, in an effort to further simplify
%%%                        the integral problem, B-spline
%%%                        representations of one-particle functions
%%%                        have been investigated for atomic
%%%                        Hartree--Fock calculations: see entry
%%%                        Waide:2020:BPS.
%%%
%%%                        Douglas Hartree was well aware of the
%%%                        problem of numerical solutions of the
%%%                        wave equation.  On the first page of
%%%                        entry Hartree:1947:CAS, he wrote:
%%%
%%%                            ``It has been said that the tabulation of
%%%                            a function of one variable requires a
%%%                            page, of two variables a volume, and of
%%%                            three variables a library; but the full
%%%                            specification of a single wave function
%%%                            of neutral Fe [iron]is a function of
%%%                            seventy-eight variables. It would be
%%%                            rather crude to restrict to ten the
%%%                            number of values of each variable at
%%%                            which to tabulate this function, but even
%%%                            so, full tabulation of it would require
%%%                            $10^{78}$ entries, and even if this
%%%                            number could be reduced somewhat from
%%%                            considerations of symmetry, there would
%%%                            still not be enough atoms in the whole
%%%                            solar system to provide the material for
%%%                            printing such a table.''
%%%
%%%                        In that paper, Hartree goes onto discuss
%%%                        wavefunctions antisymmetry via Slater
%%%                        determinants, problems of integral
%%%                        computations, configuration interaction (CI),
%%%                        polarization, relativistic effects,
%%%                        two-particle functions, ionization,
%%%                        excitation, stability of negative ions,
%%%                        highly excited states, and continuum states.
%%%                        That is a remarkably broad study that was
%%%                        done before electronic computers began to
%%%                        make such work feasible.
%%%
%%%                        In the 1930s and 1940s, Hartree was much
%%%                        involved in the design and use of
%%%                        differential analyzers for the numerical
%%%                        solution of differential equations arising in
%%%                        varies areas of engineering and science, and
%%%                        wrote books about them (see entries
%%%                        Hartree:1946:CMR, Hartree:1947:CMR,
%%%                        Hartree:1949:CIM, Hartree:1949:DAM,
%%%                        Hartree:1950:CIM, Hartree:1953:CIM,
%%%                        Hartree:1957:CAS, Hartree:1984:CMRa,
%%%                        Hartree:1984:CMRb, Hartree:2012:CIM).
%%%
%%%                        Page 141 of entry Gavroglou:2011:DRH suggests
%%%                        that it was a letter from John C. Slater at
%%%                        MIT to Hartree that drew first attention to
%%%                        Vannevar Bush's machines (see entries
%%%                        Bush:1931:DAN and Owens:1986:VBD), and led to
%%%                        Hartree's visit in 1933 to MIT.  Hartree had
%%%                        written to Slater to express his pleasure
%%%                        with Slater's papers on exchange forces,
%%%                        determinantal wavefunctions, and the
%%%                        self-consistent field method (entries
%%%                        Slater:1929:TCS and Slater:1930:NHM).  As
%%%                        quoted earlier, on return to Manchester, in
%%%                        1934, Hartree built a model differential
%%%                        analyzer with Meccano parts, and in 1935, a
%%%                        full-scale one, that was later doubled in
%%%                        size, and used in World War II research.
%%%                        Hartree's successes inspired the construction
%%%                        in Britain of three more differential
%%%                        analyzers by 1940, at the University of
%%%                        Cambridge [by John Edward Lennard-Jones],
%%%                        Queen's University in Belfast, Northern
%%%                        Ireland [by H. S. W. Massey and others: see
%%%                        entry Massey:1938:SSD] and the Royal Aircraft
%%%                        Establishment in Farnborough (about 50km
%%%                        southwest of London).  A 12-integrator
%%%                        differential analyzer as built in Oslo,
%%%                        Norway in 1938 [see entries
%%%                        Rosseland:1937:ODN and Holst:1996:SRO], and
%%%                        was the world's largest until about 1942.
%%%                        Several more machines were built in Canada,
%%%                        Japan, and United States up to about 1951,
%%%                        when interest in early general-purpose
%%%                        digital computers began to grow, and interest
%%%                        in specialized analog devices waned.
%%%
%%%                        The famous trilogy by Per-Olov Lowdin
%%%                        (entries Lowdin:1955:QTM{a,b,c}) laid the
%%%                        groundwork for extensions and generalizations
%%%                        of the single-determinant Hartree--Fock
%%%                        methods.  Expansions of the wavefunction as
%%%                        sums of determinants with numerically
%%%                        optimized coefficients lead to a method
%%%                        that Hartree and Swirles (entry
%%%                        Hartree:1937:ECI) called ``configuration
%%%                        interaction (CI)''.  Importantly, it can be
%%%                        shown that this expansion, in exact
%%%                        arithmetic, provides rigorous upper bounds to
%%%                        the energy eigenvalues of the wave equations,
%%%                        and that the bounds are always improved by
%%%                        the addition of more terms in the sum.  This
%%%                        important result is known as the
%%%                        ``Rayleigh--Ritz variational principle''.
%%%
%%%                        A variant of CI, called ``multiconfiguration
%%%                        Hartree--Fock (MCHF)'' optimizes both the
%%%                        one-particle functions and the expansion
%%%                        coefficients, although usually with a much
%%%                        shorter CI expansion.  See entries
%%%                        Hibbert:2019:CFF and FroeseFischer:1997:CAS
%%%                        for an overview.
%%%
%%%                        Many computational methods derived since the
%%%                        work of Hartree and Lowdin attempt to
%%%                        minimize the CI term count by optimization of
%%%                        the one-particle functions (orbitals), and by
%%%                        summation to infinity of certain terms via
%%%                        rewriting similar to that found in the
%%%                        mathematical expansion of the reciprocal
%%%
%%%                            1 / (1 - x) = 1 + x + x**2 + x**3 + ...
%%%
%%%                        Such rewritings are often handled by the
%%%                        famous Feynman diagrams that help scientists
%%%                        identify, and visualize, the most important
%%%                        terms in the sum of a potentially infinite
%%%                        number of terms.
%%%
%%%                        Most subsequent numerical solutions of the
%%%                        quantum wave equation are based on models
%%%                        that use one or more Slater determinants.  To
%%%                        provide further simplifications, scientists
%%%                        may replace the complicated one- and
%%%                        two-particle integrals of products of
%%%                        one-particle functions, and associated
%%%                        operators, with simpler models that
%%%                        approximate the difficult integrals by
%%%                        numerical parameters whose values are
%%%                        adjusted to match solutions expected for
%%%                        certain atoms, molecules, or solids, and then
%%%                        used to predict solutions for related
%%%                        systems.  These techniques are often termed
%%%                        ``semi-empirical methods'', in comparison to
%%%                        ``ab initio methods'' that use accurate
%%%                        computations of integrals, and multiple
%%%                        determinants in wavefunction expansions.
%%%
%%%                        Thus, much numerical work towards solving the
%%%                        wave equations in quantum chemistry and
%%%                        quantum physics in the 20th Century has been
%%%                        rooted in the Hartree--Fock method, and that
%%%                        name consequently appears in a large number
%%%                        of titles of scientific articles in those
%%%                        fields.
%%%
%%%                        To give a flavor of the impact of Hartree's
%%%                        work, a title search for ``Hartree--Fock'' in
%%%                        mid-2023 in just the journal Physical Review
%%%                        found more than 21,000 such titles.  The
%%%                        journal Molecular Physics has more than
%%%                        5,400, and the Journal of Chemical Physics
%%%                        has more than 800.  The Elsevier
%%%                        ScienceDirect journal database reports more
%%%                        than 53,400. The European Mathematical
%%%                        Society ZBmath database records 330 such, and
%%%                        the American Mathematical Society MathSciNet
%%%                        database, 375. The WorldCat catalog, with
%%%                        contributions from many libraries around the
%%%                        world, reports more than 17,000.  Those title
%%%                        search results are dwarfed by mentions of the
%%%                        phrase Hartree--Fock: the Microsoft Bing
%%%                        full-text Web search engine reports about
%%%                        279,000 hits, and the Google search engine,
%%%                        about 5,770,000 hits.
%%%
%%%                        As examples of later extensions of
%%%                        Hartree--Fock methods, see entries
%%%                        Coulson:1949:XNM, Grant:1961:RSC,
%%%                        Desclaux:1973:RDF, Grant:1979:RAS,
%%%                        Pyykko:1988:RES Wilson:1988:MCC,
%%%                        Davidson:1991:GSC, Chakravorty:1993:GSC,
%%%                        Dyall:2007:IRQ, Barysz:2010:RMC,
%%%                        Kaldor:2003:TCP, Reiher:2005:RQC,
%%%                        Reiher:2015:RQC, and Roos:2016:MQC.  Several
%%%                        of those have comparisons against
%%%                        computations that include relativistic
%%%                        effects.
%%%
%%%                        The memoir in entry Luthi:2017:TJE describes
%%%                        the work of a Swedish researcher, Jan Erik
%%%                        Almlof, who pushed Hartree--Fock computations
%%%                        on large molecules to the limits of their
%%%                        accuracy.
%%%
%%%                        Part 3 of this bibliography supplies more
%%%                        than 40 entries for the problem of finding a
%%%                        few extremal eigenvalues and eigenvectors of
%%%                        the large matrices that arise in CI
%%%                        calculations.
%%%
%%%                        Apart from his important contributions to
%%%                        quantum computations, Hartree was a leader in
%%%                        Britain in the introduction of numerical
%%%                        methods to many other areas of science and
%%%                        engineering, and was one of the pioneers in
%%%                        the use and promotion of early (analog and
%%%                        digital) mechanical and electronic computers.
%%%                        Hartree's influence on computing, and on the
%%%                        British computing industry, is vast.
%%%
%%%                        All of the 114 Hartree publications listed in
%%%                        the bibliography of the Darwin memoir are
%%%                        included in this bibliography.  That list is
%%%                        incomplete, because at version 1.05, there
%%%                        are 182 entries in Part 1 and the cross
%%%                        reference section of this bibliography.  The
%%%                        Darwin citations are brief, and fail to
%%%                        identify the correct name order in
%%%                        multiauthor publications.  The 2003 Froese
%%%                        Fischer biography of Hartree lists 6 books
%%%                        and 113 articles: all of them have been
%%%                        checked against the coverage in this file.
%%%                        Considerable effort has been exerted to
%%%                        supply more complete metadata, including page
%%%                        ranges, Digital Object Identifier (DOI) and
%%%                        Uniform Resource Locator (URL) values, and to
%%%                        provide correct author lists.  At version
%%%                        1.05, in Part 1 of this file, 91 of the 170
%%%                        entries now have DOI values, and 109 have URL
%%%                        values.
%%%
%%%                        Douglas Hartree worked on government projects
%%%                        in World Wars I and II, and although it is
%%%                        likely that there were reports written by him
%%%                        about that work, there is little record from
%%%                        those ten years, likely due to government and
%%%                        military secrecy restrictions.  There are 13
%%%                        article entries from 1939--1945, all from
%%%                        normal engineering and scientific journals,
%%%                        but none at all from 1914--1918, and only two
%%%                        before 1920, from his public school journals
%%%                        in 1912 and 1913.  Subsequent searches of the
%%%                        UK National Archives identified five
%%%                        technical reports by Hartree during World War
%%%                        II in the years 1941--1943: entries for them
%%%                        were added at version 1.04 of this file.
%%%
%%%                        Besides the cited memoir by Darwin, see
%%%                        entries Medwick:1988:DHE and Bowles:1996:UTE,
%%%                        the Hartree biography (entry
%%%                        FroeseFischer:2003:DRH), and the treatise on
%%%                        the Hartree--Fock method (entry
%%%                        FroeseFischer:1977:HFM), the latter two
%%%                        written by his doctoral student, Charlotte
%%%                        Froese (later, after her marriage to
%%%                        theoretical computer scientist Patrick C.
%%%                        Fischer, Charlotte Froese Fischer), herself a
%%%                        well-known Canadian quantum chemist.  In her
%%%                        biography of Hartree, she reports that she
%%%                        did not know him well, because he was absent
%%%                        from Cambridge during most of her studies.
%%%                        However, in writing the book, she was able to
%%%                        collect a large amount of material about
%%%                        Hartree from his surviving family members,
%%%                        and from former students, including several
%%%                        photographs of Hartree, who seems to have
%%%                        evaded the historical camera for most of his
%%%                        life.
%%%
%%%                        The first English language book with the
%%%                        title ``Numerical Analysis'' is Hartree's
%%%                        (see entry Hartree:1952:NA).
%%%
%%%                        There are biographical memoirs of more than
%%%                        20 scientists in Britain (especially those
%%%                        who worked in Cambridge or Manchester) who
%%%                        might have been expected to have connections
%%%                        to Douglas Hartree, but where the memoirs
%%%                        [authors in brackets] make little or no
%%%                        mention of him:
%%%
%%%                            Hans Albrecht Bethe (1906--2005)
%%%                            [Sabine Lee and Gerry E. Brown]
%%%                            https://doi.org/10.1098/rsbm.2007.0018
%%%                            [4 brief mentions of Hartree on p. 14
%%%                            only]
%%%
%%%                            Samuel Francis Boys (1911--1972)
%%%                            [Charles Alfred Coulson]
%%%                            https://doi.org/10.1098/rsbm.1973.0004
%%%
%%%                            Charles Galton Darwin (1887--1962)
%%%                            [George Piaget Thomson]
%%%                            https://doi.org/10.1098/rsbm.1963.0004
%%%                            [citation of Hartree memoir,
%%%                            Darwin:1958:DRH, only]
%%%
%%%                            Paul Adrien Maurice Dirac (1902--1984)
%%%                            [Richard Henry Dalitz and Sir Rudolf
%%%                            Ernst Peierls]
%%%                            https://doi.org/10.1098/rsbm.1986.0006
%%%                            [1 mention of Hartree--Fock on p. 168
%%%                            only]
%%%
%%%                            Sir Arthur Stanley Eddington (1882--1944)
%%%                            [Henry Crozier Keating Plummer]
%%%                            https://doi.org/10.1098/rsbm.1945.0007
%%%                            https://www.jstor.org/stable/76911
%%%
%%%                            Paul Peter Ewald (1888--1985)
%%%                            [Hans Albrecht Bethe and G. Hildebrandt]
%%%                            https://doi.org/10.1098/rsbm.1988.0006
%%%
%%%                            Otto Robert Frisch (1904--1979)
%%%                            [Sir Rudolf Peierls]
%%%                            https://doi.org/10.2307/769874
%%%
%%%                            Erich Hueckel (1896--1980)
%%%                            [H. Hartmann and Hugh Christopher
%%%                            Longuet-Higgins]
%%%                            https://doi.org/10.1098/rsbm.1982.0008
%%%
%%%                            Walter Kohn (1923--2016)
%%%                            [Pierre C. Hohenberg and James S. Langer]
%%%                            https://doi.org/10.1098/rsbm.2017.0040
%%%                            [2 mentions of Hartree--Fock on p. 256
%%%                            only]
%%%
%%%                            Max von Laue (1879--1960)
%%%                            [Paul Peter Ewald]
%%%                            https://doi.org/10.1098/rsbm.1960.0028
%%%
%%%                            Sir John Edward Lennard-Jones
%%%                            (1894--1954)
%%%                            [Nevill Francis Mott]
%%%                            https://doi.org/10.1098/rsbm.1955.0013
%%%
%%%                            Hugh Christopher Longuet-Higgins
%%%                            (1923--2004)
%%%                            [Richard L. Gregory and John N. Murrell]
%%%                            https://doi.org/10.1098/rsbm.2006.0012
%%%
%%%                            Lise Meitner (1878--1968)
%%%                            [Otto Robert Frisch]
%%%                            https://doi.org/10.1098/rsbm.1970.0016
%%%
%%%                            Robert Sanderson Mulliken (1896--1986)
%%%                            [Hugh Christopher Longuet-Higgins]
%%%                            https://doi.org/10.1098/rsbm.1990.0015
%%%
%%%                            J. Robert Oppenheimer
%%%                            [Hans Albrecht Bethe]
%%%                            https://doi.org/10.1098/rsbm.1968.0016
%%%
%%%                            Sir Rudolf Ernst Peierls (1907--1995)
%%%                            [Sabine Lee]
%%%                            https://doi.org/10.1098/rsbm.2007.0003
%%%
%%%                            Sir John Anthony Pople (1925--2004)
%%%                            [A. D. Buckingham]
%%%                            https://doi.org/10.1098/rsbm.2006.0021
%%%                            [12 mentions of Hartree--Fock, but none
%%%                            about Hartree himself]
%%%
%%%                            Lord Ernest Rutherford (1871--1937)
%%%                            [A. S. (Arthur Stewart) Eve and James
%%%                            Chadwick]
%%%                            https://doi.org/10.1098/rsbm.1938.0025
%%%
%%%                            Edwin Ernest Salpeter (1924--2008)
%%%                            [Yervant Terzian]
%%%                            https://doi.org/10.1098/rsbm.2010.0005
%%%                            https://www.jstor.org/stable/41413915
%%%
%%%                            Erwin Schrodinger (1887--1961)
%%%                            [Walter Heinrich Heitler]
%%%                            https://doi.org/10.1098/rsbm.1961.0017
%%%
%%%                            Alan Mathison Turing (1912--1954)
%%%                            [M. H. A. (Maxwell Herman Alexander)
%%%                            Newman]
%%%                            https://doi.org/10.1098/rsbm.1955.0019
%%%
%%%                            Eugene Paul Wigner (1902--1995)
%%%                            [Frederick Seitz, Erich Vogt, and Alvin
%%%                            M. Weinberg]
%%%                            https://doi.org/10.1098/rsbm.1999.0102
%%%
%%%                            James Hardy Wilkinson (1919--1986)
%%%                            [Leslie Fox]
%%%                            https://doi.org/10.1098/rsbm.1987.0024
%%%
%%%                        A common energy unit in quantum mechanical
%%%                        calculations is the Hartree (symbol: E_h or
%%%                        Ha) whose recommended 2018 CODATA value is
%%%
%%%                            1 Hartree = 4.3597447222071(85) * 10**(-18) Joule
%%%                                      = 27.211386245988(53) electron volt
%%%                                      = 2 Rydbergs
%%%
%%%                        It is approximately the potential energy of
%%%                        the hydrogen atom, and twice the hydrogen
%%%                        atom ionization energy.
%%%
%%%                        There are Web sites related to Douglas
%%%                        Hartree at
%%%
%%%                            https://en.wikipedia.org/wiki/Charlotte_Froese_Fischer
%%%                            https://physics.nist.gov/cgi-bin/cuu/Value?hr
%%%                            https://physics.nist.gov/cgi-bin/cuu/Value?hrev
%%%                            https://en.wikipedia.org/wiki/Hartree
%%%                            https://en.wikipedia.org/wiki/Douglas_Hartree
%%%                            https://en.wikipedia.org/wiki/John_C._Slater
%%%                            https://en.wikipedia.org/wiki/Vladimir_Fock
%%%                            https://mathshistory.st-andrews.ac.uk/Biographies/Hartree/
%%%
%%%                        The Mathematics Genealogy Project Web site at
%%%
%%%                            https://www.genealogy.math.ndsu.nodak.edu/id.php?id=60187
%%%
%%%                        lists 11 master's and doctoral students, and
%%%                        227 academic descendants, of Douglas Hartree,
%%%                        ordered here by degree year:
%%%
%%%                            Victoria University of Manchester:
%%%
%%%                                Porter, Arthur     1936
%%%                                Crank, John        1938 (MSc; DSc 1953)
%%%                                Buneman, Oscar     1940
%%%                                Nicolson, Phyllis  1946
%%%
%%%                            University of Cambridge:
%%%
%%%                                Dingle, Robert     1952
%%%                                Klug, Aaron        1953
%%%                                Leigh, Donald      1954
%%%                                Ridley, E.         1956
%%%                                Froese, Charlotte  1957
%%%                                Mayers, David      1959
%%%                                Lomax, Ronald      1960
%%%
%%%                        Besides those eleven, four others deserve
%%%                        note here:
%%%
%%%                            (1) Robert Bruce Lindsay (Ph.D., MIT,
%%%                                Cambridge, MA, USA, 1924).  Lindsay
%%%                                and Hartree both deserve credit for
%%%                                the idea of a ``self-consistent field
%%%                                (SCF)'', and may have communicated
%%%                                before Hartree's 1928 visit to
%%%                                Copenhagen.
%%%
%%%                            (2) Bertha Swirles (Ph.D., Victoria
%%%                                University of Manchester, UK, 1928)
%%%                                (later Lady Bertha Swirles Jeffreys)
%%%                                worked closely with Douglas Hartree,
%%%                                but was advised by Ralph Howard
%%%                                Fowler (1889--1944).
%%%
%%%                            (3) Arthur Olney Williams, Jr., (Ph.D.,
%%%                                Brown University, Providence, RI,
%%%                                USA, 1937) based his thesis work on
%%%                                that of Hartree and Swirles, but was
%%%                                advised by Robert Bruce Lindsay
%%%                                (1900--1985).
%%%
%%%                            (4) Jean-Philippe Martinez (Ph.D.,
%%%                                Universit{\'e} Sorbonne Paris
%%%                                Cit{\'e}, Paris, France, 2018) wrote
%%%                                a detailed study of Vladimir Fock
%%%                                (1898--1974).
%%%
%%%                        There are MastersThesis{...} or
%%%                        PhdThesis{...} entries for each of them in
%%%                        this file.  Two of them were later
%%%                        distinguished and enobled: Sir Aaron Klug
%%%                        (Nobel Prize in Chemistry 1982, knighted in
%%%                        1998), and Lady Bertha Swirles Jeffreys
%%%                        (enobled, with her husband, Harold Jeffreys,
%%%                        in 1953).  The pair Crank--Nicolson are well
%%%                        known for solutions of partial differential
%%%                        equation.  Mayers later wrote several
%%%                        textbooks on numerical analysis.  Buneman
%%%                        instability and Buneman potential are common
%%%                        terms in the literature on electrodynamics
%%%                        and magnetohydrodynamics.  Froese Fischer
%%%                        became a well-known quantum chemist.  Bertha
%%%                        Swirles did some of the first inclusions of
%%%                        relativistic effects in the solution of the
%%%                        Schroedinger wave equation, later with her
%%%                        husband, co-wrote textbooks in mathematical
%%%                        physics, and was associated with Girton
%%%                        College, Cambridge, as a student and Fellow
%%%                        for over 70 years.
%%%
%%%                        Related bibliographies in the BibNet Project
%%%                        include
%%%
%%%                            babbage-charles.bib
%%%                            harris-frank-e.bib
%%%                            lovelace-ada-augusta.bib
%%%                            lowdin-per-olov.bib
%%%                            rutherford-ernest.bib
%%%                            schroedinger-erwin.bib
%%%                            slater-john-clarke.bib
%%%                            turing-alan-mathison.bib
%%%
%%%                        and in the TeX User Group bibliography
%%%                        archive
%%%
%%%                            advquantumchem.bib
%%%                            annhistcomput.bib
%%%                            ieeeannhistcomput.bib
%%%
%%%                        At version 1.27, the year coverage looked
%%%                        like this:
%%%
%%%                             1912 (   1)    1950 (  10)    1988 (   6)
%%%                             1913 (   1)    1951 (  13)    1989 (   4)
%%%                             1914 (   0)    1952 (  13)    1990 (   6)
%%%                             1915 (   0)    1953 (  12)    1991 (   1)
%%%                             1916 (   0)    1954 (   6)    1992 (   3)
%%%                             1917 (   0)    1955 (  11)    1993 (   8)
%%%                             1918 (   0)    1956 (   4)    1994 (  10)
%%%                             1919 (   0)    1957 (  13)    1995 (   0)
%%%                             1920 (   3)    1958 (  15)    1996 (   4)
%%%                             1921 (   0)    1959 (   5)    1997 (   2)
%%%                             1922 (   0)    1960 (   4)    1998 (   3)
%%%                             1923 (   4)    1961 (   1)    1999 (   2)
%%%                             1924 (   6)    1962 (   4)    2000 (   4)
%%%                             1925 (   5)    1963 (   7)    2001 (   6)
%%%                             1926 (   5)    1964 (   1)    2002 (   3)
%%%                             1927 (   3)    1965 (   2)    2003 (   4)
%%%                             1928 (   7)    1966 (   2)    2004 (   2)
%%%                             1929 (   9)    1967 (   1)    2005 (   2)
%%%                             1930 (   3)    1968 (   0)    2006 (   2)
%%%                             1931 (   7)    1969 (   0)    2007 (   1)
%%%                             1932 (   3)    1970 (   1)    2008 (   2)
%%%                             1933 (   6)    1971 (   0)    2009 (   0)
%%%                             1934 (   4)    1972 (   1)    2010 (   4)
%%%                             1935 (  13)    1973 (   3)    2011 (   7)
%%%                             1936 (  13)    1974 (   6)    2012 (   3)
%%%                             1937 (  13)    1975 (   2)    2013 (   3)
%%%                             1938 (  11)    1976 (   0)    2014 (   3)
%%%                             1939 (  11)    1977 (   1)    2015 (   1)
%%%                             1940 (   6)    1978 (   7)    2016 (   6)
%%%                             1941 (   4)    1979 (   2)    2017 (   3)
%%%                             1942 (   2)    1980 (   3)    2018 (   2)
%%%                             1943 (   3)    1981 (   1)    2019 (   1)
%%%                             1944 (   2)    1982 (   2)    2020 (   3)
%%%                             1945 (   3)    1983 (   1)    2021 (   4)
%%%                             1946 (  10)    1984 (   3)    2022 (   2)
%%%                             1947 (  14)    1985 (   8)    2023 (   2)
%%%                             1948 (  12)    1986 (   4)    2024 (   2)
%%%                             1949 (  16)    1987 (   1)
%%%                             19xx (  18)
%%%
%%%                             Article:        357
%%%                             Book:            59
%%%                             InCollection:    11
%%%                             InProceedings:   17
%%%                             MastersThesis:    2
%%%                             Misc:            33
%%%                             PhdThesis:       17
%%%                             Proceedings:      3
%%%                             TechReport:       8
%%%                             Unpublished:      2
%%%
%%%                             Total entries:  509
%%%
%%%                        Data for this bibliography have been
%%%                        collected from numerous databases in
%%%                        engineering, mathematics, and science, and
%%%                        from entries in the combined BibNet Project
%%%                        and TeX User Group bibliography archives.
%%%
%%%                        Numerous errors in the sources noted above
%%%                        have been corrected.  Spelling has been
%%%                        verified with the UNIX spell and GNU ispell
%%%                        programs using the exception dictionary
%%%                        stored in the companion file with extension
%%%                        .sok.
%%%
%%%                        BibTeX citation tags are uniformly chosen as
%%%                        name:year:abbrev, where name is the family
%%%                        name of the first author or editor, year is a
%%%                        4-digit number, and abbrev is a 3-letter
%%%                        condensation of important title
%%%                        words. Citation tags were automatically
%%%                        generated by software developed for the
%%%                        BibNet Project.
%%%
%%%                        Within each of its three parts, this
%%%                        bibliography is sorted by year, and within
%%%                        each year, by author and title key, using
%%%                        ``bibsort -byyear''.  Cross-referenced
%%%                        proceedings entries appear at the end,
%%%                        because of a restriction in the current
%%%                        BibTeX.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{
   "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
   "\ifx \undefined \pkg \def \pkg #1{{{\tt #1}}} \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-PHYS-ACAD-SCI-HUNG = "Acta physica Academiae Scientiarum
                                  Hungaricae"}

@String{j-ADV-QUANTUM-CHEM      = "Advances in Quantum Chemistry"}

@String{j-ALMAGEST              = "Almagest: International Journal for the
                                  History of Scientific Ideas"}

@String{j-AM-SCI                = "American Scientist"}

@String{j-AMER-J-PHYSICS        = "American Journal of Physics"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-ANN-ACAD-REGIAE-SCI-UPS = "Annales Academiae regiae scientiarum
                                  upsaliensis"}

@String{j-ANN-HIST-COMPUT       = "Annals of the History of Computing"}

@String{j-ANN-PHYS-1900         = "Annalen der Physik (1900)"}

@String{j-APPL-SCI-RES          = "Applied Science Research"}

@String{j-APPL-SCI-RES-SECT-B   = "Applied Scientific Research, Section B"}

@String{j-ARCH-HIST-EXACT-SCI   = "Archive for History of Exact Sciences"}

@String{j-AT-DATA-NUCL-DATA-TABLES = "Atomic Data and Nuclear Data Tables"}

@String{j-ATOMS                 = "Atoms"}

@String{j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC = "Biographical Memoirs of Fellows of
                                  the Royal Society"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

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                                  Physik, und Physikalische Chemie}"}

@String{j-Z-PHYSIK              = "{Zeitschrift f{\"u}r Physik}"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AMERICAN-PHILOSOPHICAL-SOCIETY = "American Philosophical Society"}
@String{pub-AMERICAN-PHILOSOPHICAL-SOCIETY:adr = "Philadelphia, PA, USA"}

@String{pub-AW                  = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr              = "Reading, MA, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr      = "Basel, Switzerland"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-DOVER               = "Dover Publications, Inc."}
@String{pub-DOVER:adr           = "New York, NY, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-IOP                 = "IOP Publishing"}
@String{pub-IOP:adr             = "Bristol, UK"}

@String{pub-KLUWER              = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht, The
                                  Netherlands"}

@String{pub-MCGRAW-HILL         = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr     = "New York, NY, USA"}

@String{pub-MIT                 = "MIT Press"}
@String{pub-MIT:adr             = "Cambridge, MA, USA"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PLENUM              = "Plenum Press"}
@String{pub-PLENUM:adr          = "New York, NY, USA; London, UK"}

@String{pub-SIAM                = "SIAM Press"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-U-ILL               = "University of Illinois Press"}
@String{pub-U-ILL:adr           = "Urbana, IL, USA"}

@String{pub-US-GPO              = "U.S. Government Printing Office"}
@String{pub-US-GPO:adr          = "Washington, DC, USA"}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%%          Part 1 (of 3): Publications by Douglas Hartree
%%%
%%% Bibliography entries, sorted by year, and then by citation label
%%% (with ``bibsort -byyear'')
@Article{Hartree:1912:OCP,
  author =       "D. R. Hartree",
  title =        "Observations on certain periodic properties of
                 numbers",
  journal =      "J. Bedales School Sci. Soc.",
  number =       "2",
  pages =        "29--29",
  year =         "1912",
  bibdate =      "Thu Aug 03 17:26:51 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1913:MRC,
  author =       "D. R. Hartree",
  title =        "The {May} races, {Cambridge}, 1913",
  journal =      "Bedales Chronicle",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        jun,
  year =         "1913",
  bibdate =      "Mon Aug 07 15:28:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "Mentioned in \cite[p. 10]{FroeseFischer:2003:DRH}.",
}

@Article{Bairstow:1920:PDH,
  author =       "Leonard Bairstow and Ralph Howard Fowler and D. R.
                 Hartree",
  title =        "The pressure distribution on the head of a shell
                 moving at high velocities",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "97",
  number =       "684",
  pages =        "202--218",
  day =          "1",
  month =        may,
  year =         "1920",
  DOI =          "https://doi.org/10.1098/rspa.1920.0027",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  remark =       "Ralph Howard Fowler was Ernest Rutherford's
                 son-in-law.",
}

@Article{Hartree:1920:BCa,
  author =       "D. R. Hartree",
  title =        "Ballistic Calculations",
  journal =      j-NATURE,
  volume =       "106",
  number =       "2657",
  pages =        "152--154",
  day =          "30",
  month =        sep,
  year =         "1920",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/106152a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Tue Sep 5 11:30:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Article{Hartree:1920:BCb,
  author =       "D. R. Hartree",
  title =        "Ballistic calculations",
  journal =      j-NATURE,
  volume =       "106",
  number =       "2659",
  pages =        "232--232",
  day =          "14",
  month =        oct,
  year =         "1920",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/106232a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:27:53 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.nature.com/articles/106232a0",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "TO DO: not found in v106p232",
}

@Article{Hartree:1923:ASR,
  author =       "D. R. {Hartree, B.A.}",
  title =        "On atomic structure and the reflection of {X}-rays by
                 crystals",
  journal =      j-PHILOS-MAG,
  volume =       "46",
  number =       "276",
  pages =        "1091--1111",
  year =         "1923",
  CODEN =        "PHMAA4",
  ISSN =         "0031-8086",
  ISSN-L =       "0031-8086",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
}

@Article{Hartree:1923:CNU,
  author =       "D. R. Hartree",
  title =        "On the correction for non-uniformity of field in
                 experiments on the magnetic deflection of $ \beta
                 $-rays",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "21",
  number =       "??",
  pages =        "746--752",
  day =          "??",
  month =        "????",
  year =         "1923",
  CODEN =        "PCPSA4",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1923:PCT,
  author =       "D. R. Hartree",
  title =        "On the propagation of certain types of electromagnetic
                 waves",
  journal =      j-PHILOS-MAG,
  volume =       "46",
  number =       "273",
  pages =        "454--460",
  year =         "1923",
  CODEN =        "PHMAA4",
  DOI =          "https://doi.org/10.1080/14786442308634268",
  ISSN =         "0031-8086",
  ISSN-L =       "0031-8086",
  bibdate =      "Thu Aug 03 17:28:49 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.tandfonline.com/doi/full/10.1080/14786442308634268",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
}

@TechReport{Hartree:1953:SPM,
  author =       "Douglas R. Hartree",
  title =        "Some Practical Methods of Using Characteristics in the
                 Calculation of Non-steady Compressible Flow",
  type =         "Report",
  number =       "AECU-2713",
  institution =  "United States Atomic Energy Commission and Department
                 of Mathematics, Harvard University",
  address =      "Oak Ridge, TN, USA and Cambridge 38, MA, USA",
  pages =        "ii + 44",
  month =        sep,
  year =         "1953",
  DOI =          "https://doi.org/10.2172/4396914",
  bibdate =      "Tue Sep 05 10:48:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.osti.gov/servlets/purl/4396914",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1923:SAN,
  author =       "D. R. Hartree",
  title =        "Some approximate numerical applications of {Bohr}'s
                 theory of spectra",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "21",
  number =       "??",
  pages =        "625--641",
  month =        "????",
  year =         "1923",
  CODEN =        "PCPSA4",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:29:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.biodiversitylibrary.org/item/88477#page/653/mode/1up",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "21 May 1923",
}

@Article{Hartree:1924:SME,
  author =       "D. R. Hartree",
  title =        "Some methods of estimating the successive ionisation
                 potentials of any element",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "22",
  number =       "3",
  pages =        "464--474",
  day =          "20",
  month =        sep,
  year =         "1924",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100014377",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1924PCPS...22..464H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1924:SRB,
  author =       "D. R. Hartree",
  title =        "Some relations between the optical spectra of
                 different atoms of the same electron structure. {I}.
                 --- {Lithium}-like and sodium-like atoms",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "106",
  number =       "739",
  pages =        "552--580",
  day =          "1",
  month =        nov,
  year =         "1924",
  DOI =          "https://doi.org/10.1098/rspa.1924.0087",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "1364-5021",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1924RSPSA.106..552H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Hartree:1924:SSL,
  author =       "D. R. Hartree",
  title =        "The spectra of some lithium-like and sodium-like
                 atoms",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "22",
  number =       "3",
  pages =        "409--425",
  day =          "20",
  month =        sep,
  year =         "1924",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100014328",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1924PCPS...22..409H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1925:ASF,
  author =       "D. R. Hartree",
  title =        "The atomic structure factor in the intensity of
                 reflection of {X}-rays by crystals",
  journal =      j-PHILOS-MAG,
  volume =       "50",
  number =       "295",
  pages =        "289--306",
  year =         "1925",
  CODEN =        "PHMAA4",
  DOI =          "https://doi.org/10.1080/14786442508634740",
  ISSN =         "0031-8086",
  ISSN-L =       "0031-8086",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.tandfonline.com/doi/full/10.1080/14786442508634740",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
}

@TechReport{Hartree:1925:CTB,
  author =       "D. R. Hartree",
  title =        "Contribution to {{\booktitle{Text-Book of
                 Anti-Aircraft Gunnery}}}",
  type =         "Report",
  number =       "1",
  institution =  "His Majesty's Stationery Office",
  address =      "London, UK",
  year =         "1925",
  bibdate =      "Thu Aug 03 17:21:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1925:DTS,
  author =       "D. R. Hartree",
  title =        "Doublet and triplet separations in optical spectra as
                 evidence whether orbits penetrate into the core",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "22",
  number =       "6",
  pages =        "904--918",
  month =        nov,
  year =         "1925",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S030500410001450X",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1925PCPS...22..904H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1925:IPI,
  author =       "D. R. Hartree",
  title =        "The ionisation potential of ionised manganese",
  journal =      j-NATURE,
  volume =       "116",
  number =       "2914",
  pages =        "356--356",
  day =          "5",
  month =        sep,
  year =         "1925",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/116356a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1925Natur.116Q.356H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Article{Hartree:1925:NDT,
  author =       "D. R. Hartree",
  title =        "Note on {Dr Turner}'s paper on {`Quantum defect and
                 atomic number'}",
  journal =      j-PHILOS-MAG,
  volume =       "49",
  number =       "290",
  pages =        "390--396",
  year =         "1925",
  CODEN =        "PHMAA4",
  DOI =          "https://doi.org/10.1080/14786442508634615",
  ISSN =         "0031-8086",
  ISSN-L =       "0031-8086",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.tandfonline.com/doi/abs/10.1080/14786442508634615",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
}

@Article{Fowler:1926:ISI,
  author =       "Ralph Howard Fowler and D. R. Hartree",
  title =        "An interpretation of the spectrum of ionised oxygen
                 {(O II)}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "111",
  number =       "757",
  pages =        "83--94",
  day =          "1",
  month =        may,
  year =         "1926",
  DOI =          "https://doi.org/10.1098/rspa.1926.0050",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/94664",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  remark =       "Ralph Howard Fowler was Ernest Rutherford's
                 son-in-law.",
}

@PhdThesis{Hartree:1926:SQA,
  author =       "D. R. Hartree",
  title =        "Some Quantitative Applications of {Bohr}'s Theory of
                 Spectra",
  type =         "{Ph.D.} thesis",
  school =       "Faculty of Physics and Chemistry, University of
                 Cambridge",
  address =      "Cambridge, UK",
  pages =        "????",
  day =          "9",
  month =        oct,
  year =         "1926",
  bibdate =      "Thu Aug 03 09:38:51 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://idiscover.lib.cam.ac.uk/permalink/f/iojq9k/44CAM_ALMA21428192490003606;
                 https://www.proquest.com/pqdtglobal/docview/301187054",
  abstract =     "[From the first paragraph]: ``In the past two years a
                 theory of spectra and atomic constitution has been
                 developed in considerable detail by Bohr [N. Bohr,
                 Zeit. f{\"u}r Phys. 9, p. 1 (1922); The Theory of
                 Spectra and Atomic Constitution (Camb. Univ. Press,
                 1922). See also N. Bohr and D. Coster, Zeit. f{\"u}r
                 Phys. 12, p. 342 (1923)] in a more or less qualitative
                 form. This theory is accepted completely in the present
                 paper, which deals with an attempt to make a more
                 quantitative application of it to the investigation of
                 the spectra and structure of certain atoms. The general
                 idea of this attempt is the determination of an
                 electric field such that the orbits specified by the
                 application of the quantum conditions to the motion of
                 an electron in this field shall have the energies
                 assigned to the different terms in the optical and
                 X-ray spectra. The dimensions of the orbits and
                 variation of time along them can then be
                 calculated.''",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark-1 =     "Copy not available from the University of Cambridge
                 Library, nor from ProQuest Dissertations and Theses
                 Global. Sources disagree on the thesis advisor (Fowler
                 or Rutherford), and the degree date (1926 or 1927). The
                 iDiscover and Library Hub Discover catalogs say 27
                 October 1926, but no electronic copy is available, nor
                 is the advisor listed, and the manuscript in the
                 University Library is not borrowable. Entry
                 Hartree:1923:SAN is for an article of a similar title.
                 Entry SwirlesJeffreys:1987:DRH reports that R. H.
                 Fowler wrote a 7-page report on Hartree's dissertation,
                 but does not identify the official advisor.",
  remark-2 =     "On 12 September 2023, a University of Cambridge
                 iDiscover library catalog staff member kindly checked
                 their physical copy of this thesis and found that there
                 is no clear statement of an advisor. Instead, Hartree
                 thanks Professors R. H. Fowler and W. H. Bragg for
                 suggesting subject matter in a chapter. There is no
                 mention of Ernest Rutherford.",
  remark-3 =     "The University of Cambridge library reports that the
                 thesis is under copyright by the heirs of Douglas
                 Hartree, and cannot be made available online without
                 their permission.",
  submitted =    "17 June 1926",
  xxadvisor =    "Sir Ernest Rutherford [Nobel Prize in Chemistry in
                 1908] and Ralph Howard Fowler",
}

@Article{Hartree:1926:SRB,
  author =       "D. R. Hartree",
  title =        "Some relations between the optical spectra of
                 different atoms with the same electronic structure.
                 {Part II}. {Aluminium}-like and copper-like atoms",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "23",
  number =       "3",
  pages =        "304--326",
  month =        jul,
  year =         "1926",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S030500410000921X",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1926PCPS...23..304H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "2589336",
}

@Book{Born:1927:MA,
  author =       "Max Born",
  title =        "The Mechanics of the Atom",
  publisher =    "G. Bell and Sons",
  address =      "London, UK",
  pages =        "xvi + 317",
  year =         "1927",
  bibdate =      "Thu Aug 03 17:23:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "English translation by Joseph William Fisher and D. R.
                 Hartree of German original, \booktitle{Atommechanik}.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1928:WMAa,
  author =       "D. R. Hartree",
  title =        "The Wave Mechanics of an Atom with a Non-{Coulomb}
                 Central Field. {Part I}. {Theory} and Methods",
  journal =      j-MATH-PROC-CAMB-PHILOS-SOC,
  volume =       "24",
  number =       "1",
  pages =        "89--110",
  month =        jan,
  year =         "1928",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100011919",
  ISSN =         "0008-1981",
  ISSN-L =       "0305-0041",
  bibdate =      "Thu Jun 02 08:59:51 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Page 91 of this paper introduces atomic units for {\em
                 length} ({$ a_H = h^2 / (4 \pi^2 m e^2) $}, the radius
                 of first Bohr orbit of hydrogen), {\em charge} ($e$,
                 the electron charge), and {\em mass} ($m$, electron
                 mass). From these are derived the {\em unit of action}
                 ($ h / (2 \pi) $ ), the {\em unit of energy} ($ e^2 / a
                 $, twice the ionization energy of hydrogen), and the
                 {\em unit of time} ({$ 1 / (4 \pi c R) $}). The value
                 {$R$} is the Rydberg constant. Atomic units have since
                 been in wide use in quantum science, to avoid
                 dependence of calculations on physical constants whose
                 accuracy improves over time, but some are still known
                 only to a few decimal digits.",
  URL =          "https://ui.adsabs.harvard.edu/abs/1928PCPS...24..426H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Mathematical proceedings of the Cambridge
                 Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "21 November 1927",
  received =     "19 November 1927",
  ZBmath =       "2579725",
}

@Article{Hartree:1928:WMAb,
  author =       "D. R. Hartree",
  title =        "The wave mechanics of an atom with a non-{Coulomb}
                 central field. {Part II}. {Some} results and
                 discussion",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "24",
  number =       "1",
  pages =        "111--132",
  month =        jan,
  year =         "1928",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100011920",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1928PCPS...24..111H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "21 November 1927",
  received =     "19 November 1927",
  remark-1 =     "Check year: 1928, or 1927 as in FroeseFischer:1977:HFM
                 (p. 303)??. 1928 is the publication year, but the paper
                 was submitted in November 1927.",
  remark-2 =     "From page 113: ``If the final field is the same as the
                 initial field, the field will be called
                 self-consistent,' and the determination of
                 self-consistent fields for various atoms is the main
                 object of this paper.'' This may be the first mention
                 of self-consistent in Hartree's journal articles, but
                 it may also be present is doctoral dissertation (no
                 copy yet available).",
  ZBmath =       "2579725",
}

@Article{Hartree:1928:WMAc,
  author =       "D. R. Hartree",
  title =        "The wave mechanics of an atom with a non-{Coulomb}
                 central field. {Part III}. {Term} values and
                 intensities in optical spectra",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "24",
  number =       "3",
  pages =        "426--437",
  month =        jul,
  year =         "1928",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100011919",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1928PCPS...24...89H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "21 November 1927",
  received =     "19 November 1927",
  ZBmath =       "2579725",
}

@Article{James:1928:IEZ,
  author =       "Reginald William James and Ivar Waller and D. R.
                 Hartree",
  title =        "An investigation into the existence of zero-point
                 energy in the Rock-Salt Lattice by an {X}-Ray
                 Diffraction Method",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "118",
  number =       "779",
  pages =        "334--350",
  month =        mar,
  year =         "1928",
  DOI =          "https://doi.org/10.1098/rspa.1928.0055",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/94908",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  remark =       "Ivar Waller was Per-Olov L{\"o}wdin's thesis (1948)
                 advisor.",
}

@Article{Hartree:1929:DCC,
  author =       "D. R. Hartree",
  title =        "The distribution of charge and current in an atom
                 consisting of many electrons obeying {Dirac}'s
                 equations",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "25",
  number =       "2",
  pages =        "225--236",
  month =        apr,
  year =         "1929",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100018764",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1929PCPS...25..225H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "2571736",
}

@Article{Hartree:1929:EIA,
  author =       "D. R. Hartree",
  title =        "{Die Elektrizit{\"a}tsverteilung im Atom}. ({German})
                 [{The} distribution of electricity in the atom]",
  journal =      j-PHYSIKAL-Z,
  volume =       "30",
  number =       "??",
  pages =        "517--518",
  day =          "??",
  month =        "????",
  year =         "1929",
  CODEN =        "PHZTAO",
  ISSN =         "0369-982X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Summary of lecture at Z{\"u}rich conference.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physikalische Zeitschrift",
  journal-URL =  "http://catalog.hathitrust.org/Record/000541302",
  language =     "German",
  xxCODEN =      "NATWAY",
  xxfjournal =   "Naturwissenschaften",
  xxISSN =       "0028-1042 (print), 1432-1904 (electronic)",
  xxissn-l =     "0028-1042",
  xxjournal =    j-NATURWISSENSCHAFTEN,
  xxjournal-url = "http://link.springer.com/journal/114",
}

@Article{Hartree:1929:PEW,
  author =       "D. R. Hartree",
  title =        "The propagation of electromagnetic waves in a
                 stratified medium",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "25",
  number =       "1",
  pages =        "97--120",
  month =        jan,
  year =         "1929",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100018600",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1929PCPS...25...97H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1929:WMA,
  author =       "D. R. Hartree",
  title =        "The wave mechanics of an atom with a non-{Coulomb}
                 central field. {Part IV}. {Further} results relating to
                 the optical spectrum",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "25",
  number =       "3",
  pages =        "310--314",
  month =        jul,
  year =         "1929",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100014031",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1929PCPS...25..310H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "2571788",
}

@Article{Rutherford:1929:DSA,
  author =       "{Sir} Ernest Rutherford and F. W. (Francis William)
                 Aston and James Chadwick and C. D. (Charles Drummond)
                 Ellis and George Gamow and Ralph Howard Fowler and Owen
                 W. Richardson and Douglas R. Hartree",
  title =        "Discussion on the Structure of Atomic Nuclei",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "123",
  number =       "792",
  pages =        "373--390",
  day =          "6",
  month =        apr,
  year =         "1929",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1929.0074",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "1364-5021",
  bibdate =      "Fri Dec 25 08:18:52 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/pdfplus/95202.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "George Gamow (1904--1968); Douglas Rayner Hartree (27
                 March 1897--12 February 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  remark =       "General constitution of the nucleus as a collection of
                 $ \alpha $-particles.",
}

@Article{Waller:1929:ITS,
  author =       "Ivar Waller and D. R. Hartree",
  title =        "On the intensity of total scattering of {X}-rays",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "124",
  number =       "793",
  pages =        "119--142",
  month =        may,
  year =         "1929",
  DOI =          "https://doi.org/10.1098/rspa.1929.0101",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "29 January 1929",
  remark =       "Ivar Waller was Per-Olov L{\"o}wdin's thesis (1948)
                 advisor.",
  ZBmath =       "2571754",
}

@Article{Hartree:1931:OEP,
  author =       "D. R. Hartree",
  title =        "Optical and equivalent paths in a stratified medium,
                 treated from a wave standpoint",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "131",
  number =       "817",
  pages =        "428--450",
  month =        may,
  year =         "1931",
  DOI =          "https://doi.org/10.1098/rspa.1931.0063",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1931RSPSA.131..428H",
  ZMnumber =     "0002.08401",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3001522; 2559690",
}

@Article{Hartree:1931:PEW,
  author =       "D. R. Hartree",
  title =        "The propagation of electromagnetic waves in a
                 refracting medium in a magnetic field",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "27",
  number =       "1",
  pages =        "143--162",
  month =        jan,
  year =         "1931",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100009440",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1931PCPS...27..143H",
  ZMnumber =     "0001.08704",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3000236; 2559572",
}

@Article{Hartree:1931:WMF,
  author =       "D. R. Hartree",
  title =        "The Wave Mechanics of Free Electrons",
  journal =      j-NATURE,
  volume =       "128",
  number =       "3219",
  pages =        "47--49",
  day =          "11",
  month =        jul,
  year =         "1931",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/128047a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Sat Aug 5 06:02:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1931Natur.128...47H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Misc{Hartree:1932:M,
  author =       "D. R. Hartree",
  title =        "Mechanics",
  howpublished = "UK National Archives papers",
  year =         "1932--1933",
  bibdate =      "Wed Aug 09 12:21:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/1: Book on Dynamics:
                 Correspondence with S. C. Roberts (Secretary to
                 Syndics, C.U.P.) and with Dr. Swirles; Hartree's
                 outline sketches for chapter contents 1--19.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/ed992106-f3e4-4699-a800-46303e2fd2d9",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1932:RCA,
  author =       "D. R. Hartree",
  title =        "Review: {{\booktitle{The Constitution of Atomic Nuclei
                 and Radioactivity}} by George Gamow}",
  journal =      j-MATH-GAZ,
  volume =       "16",
  number =       "220",
  pages =        "284--285",
  month =        oct,
  year =         "1932",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Tue May 29 07:53:43 MDT 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/pdfplus/3605938.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@Article{Hartree:1933:AWF,
  author =       "D. R. Hartree and A. L. Ingman",
  title =        "An approximate wave function for the normal helium
                 atom",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "77",
  number =       "??",
  pages =        "69--90",
  day =          "??",
  month =        "????",
  year =         "1933",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  remark =       "Check author order.",
  ZBmath =       "2548173",
}

@Article{Hartree:1933:DFI,
  author =       "D. R. Hartree",
  title =        "The dispersion formula for an ionised medium",
  journal =      j-NATURE,
  volume =       "132",
  number =       "3346",
  pages =        "929--930",
  day =          "16",
  month =        dec,
  year =         "1933",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/132929a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1933Natur.132..929H;
                 https://www.nature.com/articles/132929a0",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  ZBmath =       "2545373",
}

@Article{Hartree:1933:PMN,
  author =       "D. R. Hartree",
  title =        "A practical method for the numerical solution of
                 differential equations",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "77",
  number =       "??",
  pages =        "91--107",
  day =          "??",
  month =        "????",
  year =         "1933",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  ZBmath =       "2546897",
}

@Article{Hartree:1933:RCA,
  author =       "D. R. Hartree",
  title =        "Results of calculations of atomic wave functions. {I}.
                 --- {Survey}, and self-consistent fields for {Cl$^-$}
                 and {Cu$^+$}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "141",
  number =       "844",
  pages =        "282--301",
  day =          "1",
  month =        aug,
  year =         "1933",
  DOI =          "https://doi.org/10.1098/rspa.1933.0118",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1933RSPSA.141..282H",
  ZMnumber =     "0007.26604",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2548187; 3010231",
}

@Article{Hartree:1933:TIO,
  author =       "D. R. Hartree and M. M. Black",
  title =        "A theoretical investigation of the oxygen atom in
                 various states of ionisation",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "139",
  number =       "838",
  pages =        "311--335",
  month =        feb,
  year =         "1933",
  DOI =          "https://doi.org/10.1098/rspa.1933.0019",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/95975;
                 https://ui.adsabs.harvard.edu/abs/1933RSPSA.139..311H",
  ZMnumber =     "0006.18902",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3008202; 2548190",
}

@Article{Hartree:1934:AWF,
  author =       "D. R. Hartree",
  title =        "Approximate wave functions and atomic field for
                 mercury",
  journal =      j-PHYS-REV,
  volume =       "46",
  number =       "8",
  pages =        "738--743",
  month =        oct,
  year =         "1934",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.46.738",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.46.738;
                 https://ui.adsabs.harvard.edu/abs/1934PhRv...46..738H",
  ZMnumber =     "0010.13604",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  received =     "9 Aug 1934",
  ZBmath =       "3014937; 2540982",
}

@Article{Hartree:1934:RCA,
  author =       "D. R. Hartree",
  title =        "Results of calculations of atomic wave functions.
                 {II}. --- Results for {K$^+$} and {Cs$^+$}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "143",
  number =       "850",
  pages =        "506--517",
  day =          "1",
  month =        feb,
  year =         "1934",
  DOI =          "https://doi.org/10.1098/rspa.1934.0017",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1934RSPSA.143..506H",
  ZMnumber =     "0010.18903",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2548188; 3015137",
}

@Article{Hartree:1934:TCF,
  author =       "D. R. Hartree and R. de L. {Kronig} and H. Petersen",
  title =        "A theoretical calculation of the fine structure of the
                 {K}-absorption band of {Ge} in {GeCL$_4$}",
  journal =      j-PHYSICA,
  volume =       "1",
  number =       "7--12",
  pages =        "895--924",
  month =        may,
  year =         "1934",
  CODEN =        "PHYSAG",
  DOI =          "https://doi.org/10.1016/S0031-8914(34)80284-4",
  ISSN =         "0031-8914 (print), 1873-1767 (electronic)",
  ISSN-L =       "0031-8914",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See errata \cite{Hartree:1935:ETC}.",
  URL =          "https://ui.adsabs.harvard.edu/abs/1934Phy.....1..895H;
                 https://www.sciencedirect.com/science/article/abs/pii/S0031891434802844",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physica",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00318914/",
  remark =       "From p. 898: ``The calculation of these phases is
                 often carried out by the approximate method of Jeffreys
                 [10], which was developed independently with special
                 reference to wave mechanical applications by [Gregor]
                 Wentzel [(1898--1978)] [11], [Hendrik Anthony] Kramers
                 [(1894--1952)] [12], and [L{\'e}on] Brillouin
                 [(1889--1969)] [13], by whose names it is commonly
                 known in such applications. We have not used this
                 approximation, since it is probably not at all good for
                 the range of small energies in which the most
                 interesting part of the fine structure occurs,
                 \ldots{}''. Many physics publications refer to that
                 method as the ``WKB approximation'', published in three
                 papers in German and French physics journals in 1926,
                 but here Hartree credits H. (Harold) Jeffreys (22 April
                 1891--18 March 1989), ``On Certain Approximate
                 Solutions of Linear Differential Equations of the
                 Second Order'', Proc. Lond. Math. Soc. {\bf s2-23},
                 428--436 (not 420, as cited by Hartree), 1924 (doi:
                 10.1112/plms/s2-23.1.428). The paper was received 15
                 March 1923, read 26 April 1923, revised 17 April 1924.
                 It, plus two adjacent papers by Jeffreys, were
                 recommended for the Adams Prize of the University of
                 Cambridge. The volume year is 1924, but the running
                 page headers in the paper say April 26, 1923. Thus,
                 some later authors refer more properly to the JWKB
                 method. See further description in the article
                 https://en.wikipedia.org/wiki/WKB_approximation.",
}

@Article{Hartree:1935:BSQ,
  author =       "D. R. Hartree",
  title =        "The bearing of statistical and quantum mechanics on
                 school work",
  journal =      j-MATH-GAZ,
  volume =       "22",
  number =       "233",
  pages =        "73--78",
  month =        may,
  year =         "1935",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.2307/3608018",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.jstor.org/stable/3608018",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  ZBmath =       "2531241",
}

@Article{Hartree:1935:COM,
  author =       "D. R. Hartree and Arthur Porter",
  title =        "The construction and operation of a model differential
                 analyser",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "79",
  number =       "5",
  pages =        "51--73",
  month =        jul,
  year =         "1935",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reprinted in \cite{Porter:1936:DAS}.",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  ZBmath =       "2535754",
}

@Article{Hartree:1935:DA,
  author =       "D. R. Hartree",
  title =        "The differential analyser",
  journal =      j-NATURE,
  volume =       "135",
  number =       "3423",
  pages =        "940--943",
  day =          "8",
  month =        jun,
  year =         "1935",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/135940a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1935Natur.135..940H;
                 https://www.nature.com/articles/135940a0",
  ZMnumber =     "0012.11701",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  ZBmath =       "3018397",
}

@Article{Hartree:1935:ETC,
  author =       "D. R. Hartree and R. de L. {Kronig} and H. Petersen",
  title =        "Errata: {A theoretical calculation of the fine
                 structure of the K-absorption band of Ge in GeCL$_4$}",
  journal =      j-PHYSICA,
  volume =       "2",
  number =       "1",
  pages =        "144--144",
  month =        jan,
  year =         "1935",
  CODEN =        "PHYSAG",
  DOI =          "https://doi.org/10.1016/S0031-8914(35)90075-1",
  ISSN =         "0031-8914 (print), 1873-1767 (electronic)",
  ISSN-L =       "0031-8914",
  bibdate =      "Sat Aug 5 06:02:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See \cite{Hartree:1934:TCF}.",
  URL =          "https://ui.adsabs.harvard.edu/abs/1935Phy.....2..144H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physica",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00318914/",
}

@Article{Hartree:1935:RCAa,
  author =       "D. R. Hartree and William Hartree",
  title =        "Results of calculations of atomic wave functions.
                 {III}. --- {Results} for {Be}, {Ca} and {Hg}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "149",
  number =       "867",
  pages =        "210--231",
  month =        apr,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0058",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1935RSPSA.151...96H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2536924",
}

@Article{Hartree:1935:RCAb,
  author =       "D. R. Hartree",
  title =        "Results of calculations of atomic wave functions.
                 {IV}. --- {Results} for {F$^-$}, {Al$^{+3}$}, and
                 {Rb$^+$}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "151",
  number =       "872",
  pages =        "96--105",
  month =        aug,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0135",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1935RSPSA.149..210H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Hartree:1935:SCF,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for beryllium",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "150",
  number =       "869",
  pages =        "9--33",
  month =        may,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0085",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1935RSPSA.150....9H",
  ZMnumber =     "0011.33004",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3017487; 2536851",
}

@Article{Hartree:1935:SPA,
  author =       "D. R. Hartree",
  title =        "Some properties and applications of the repeated
                 integrals of the error function",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "80",
  number =       "??",
  pages =        "85--102",
  day =          "??",
  month =        "????",
  year =         "1935",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  ZBmath =       "2529358",
}

@Article{Callender:1936:TLC,
  author =       "A. Callender and D. R. Hartree and Arthur Porter",
  title =        "Time-lag in a control system",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "235",
  number =       "756",
  pages =        "415--444",
  month =        jul,
  year =         "1936",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1936.0007",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  ZMnumber =     "0014.32302",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  ZBmath =       "2529447; 3022723",
}

@InProceedings{Hartree:1936:ADA,
  author =       "D. R. Hartree",
  editor =       "????",
  booktitle =    "Reports of the {International Congress of
                 Mathematicians, Oslo}",
  title =        "The application of the differential analyser to the
                 solution of partial differential equations",
  publisher =    "Gauthier-Villars",
  address =      "Paris, France",
  pages =        "231--??",
  year =         "1936",
  bibdate =      "Fri Aug 04 06:06:54 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  ZBmath =       "2521399",
}

@Article{Hartree:1936:SCFa,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for beryllium
                 --- {II} --- {The} $ (2 s) (2 p) $ {$^3$P} and {$^1$P}
                 excited states",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "154",
  number =       "883",
  pages =        "588--607",
  month =        may,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0071",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1936RSPSA.154..588H",
  ZMnumber =     "0013.42903",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3021427; 2530936",
}

@Article{Hartree:1936:SCFb,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for {Cl$^-$}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "156",
  number =       "887",
  pages =        "45--62",
  month =        aug,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0134",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1936RSPSA.156...45H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2530937",
}

@Article{Hartree:1936:SCFc,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for {Cu$^+$}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "157",
  number =       "892",
  pages =        "490--502",
  month =        dec,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0210",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1936RSPSA.157..490H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2530938",
}

@Article{Hartree:1936:TCA,
  author =       "D. R. Hartree",
  title =        "The theory of complex atoms",
  journal =      j-NATURE,
  volume =       "138",
  number =       "3504",
  pages =        "1080--1082",
  day =          "26",
  month =        dec,
  year =         "1936",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/1381080a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.nature.com/articles/1381080a0",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Article{Hartree:1936:VN,
  author =       "D. R. Hartree and S. Chapman and E. A. Milne",
  title =        "Vector notation",
  journal =      j-MATH-GAZ,
  volume =       "20",
  number =       "240",
  pages =        "272--275",
  month =        oct,
  year =         "1936",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.2307/3607781",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.jstor.org/stable/3607781",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
}

@Article{Nuttall:1936:RNL,
  author =       "A. K. Nuttall and D. R. Hartree and Arthur Porter",
  title =        "The response of a non-linear electric circuit to an
                 impulse",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "32",
  number =       "2",
  pages =        "304--320",
  month =        may,
  year =         "1936",
  CODEN =        "PCPSA4",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  remark =       "Check author order.",
}

@Misc{Hartree:1937:CSE,
  author =       "D. R. Hartree",
  title =        "Calculations on {Schubaurer}'s Ellipse",
  howpublished = "University of Cambridge Library catalog: Four folders
                 of handwritten calculations, c. 1930s: Schubaurer's
                 Ellipse --- 0.2 to 0.4, 0.4 to 1.0, 1.0 to 1.8, and 1.8
                 to 2.0. Loose items: a letter from L. J. Comrie to
                 Hartree, 17 September 1937, discussing a calculation; a
                 letter from Bertha Jeffreys, Lady Jeffreys, to A. E. B.
                 Owen, 5 December 1986, forwarding a letter from Prof.
                 L. Howarth of Bristol, confirming that the papers were
                 likely to be those of Hartree, and citing his
                 publications on these experiments.",
  year =         "1937",
  bibdate =      "Sat Aug 05 15:46:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1937:ECI,
  author =       "D. R. Hartree and Bertha Swirles",
  title =        "The effect of configuration interaction on the low
                 terms of the spectra of oxygen",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "33",
  number =       "2",
  pages =        "240--249",
  month =        apr,
  year =         "1937",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100019587",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1937PCPS...33..240H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Lady Bertha Swirles Jeffreys (22 May 1903--18
                 December 1999)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1937:EOF,
  author =       "D. R. Hartree",
  title =        "On an equation occurring in {Falkner} and {Skan}'s
                 approximate treatment of the equations of the boundary
                 layer",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "33",
  number =       "2",
  pages =        "223--239",
  month =        apr,
  year =         "1937",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100019575",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1937PCPS...33..223H",
  ZMnumber =     "0017.08004",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3026945; 2521032",
}

@Article{Hartree:1937:MNM,
  author =       "D. R. Hartree and J. R. Womersley",
  title =        "A method for the numerical or mechanical solution of
                 certain types of partial differential equations",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "161",
  number =       "906",
  pages =        "353--366",
  month =        aug,
  year =         "1937",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1937.0149",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1937RSPSA.161..353H",
  ZMnumber =     "0017.08003",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3026944; 2523752",
}

@Article{Hartree:1937:NSS,
  author =       "D. R. Hartree",
  title =        "Note on a set of solutions of the equation $ j y'' +
                 (2 / x) y' - y^2 = 0 $",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "81",
  number =       "??",
  pages =        "19--27",
  day =          "??",
  month =        "????",
  year =         "1937",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  ZMnumber =     "0018.12702",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  ZBmath =       "3028825; 2518400",
}

@Article{Hartree:1937:TLC,
  author =       "D. R. Hartree and Arthur Porter and A. Callender and
                 A. B. Stevenson",
  title =        "Time-lag in a control system --- {II}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "161",
  number =       "907",
  pages =        "460--476",
  day =          "20",
  month =        aug,
  year =         "1937",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1937.0156",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1937RSPSA.161..460H",
  ZMnumber =     "0017.17803",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "3027336",
}

@Article{Myers:1937:ESC,
  author =       "David M. Myers and D. R. Hartree and Arthur Porter",
  title =        "The effect of space-charge on the secondary current in
                 a triode",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "158",
  number =       "893",
  pages =        "23--37",
  month =        jan,
  year =         "1937",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1937.0002",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Hartree:1938:ADA,
  author =       "D. R. Hartree and Arthur Porter",
  title =        "The application of the differential analyser to
                 transients on a distortionless transmission line",
  journal =      j-J-INST-ELECTR-ENG,
  volume =       "83",
  number =       "503",
  pages =        "648--656",
  month =        nov,
  year =         "1938",
  CODEN =        "JISEAL",
  DOI =          "https://doi.org/10.1049/jiee-1.1938.0180",
  ISSN =         "0368-2692 (print), 2054-0574 (electronic)",
  ISSN-L =       "0368-2692",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See comments \cite{Anonymous:1939:DAE}.",
  URL =          "https://digital-library.theiet.org/content/journals/10.1049/jiee-1.1938.0180",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Inst. Electrical Engineers",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of the Institution of Electrical Engineers",
  journal-URL =  "https://digital-library.theiet.org/content/journals/jiee-1",
}

@Article{Hartree:1938:DAA,
  author =       "D. R. Hartree and A. K. Nuttall",
  title =        "The differential analyser and its applications in
                 electrical engineering",
  journal =      j-J-INST-ELECTR-ENG,
  volume =       "83",
  number =       "503",
  pages =        "643--647",
  month =        nov,
  year =         "1938",
  CODEN =        "JISEAL",
  DOI =          "https://doi.org/10.1049/jiee-1.1938.0179",
  ISSN =         "0368-2692 (print), 2054-0574 (electronic)",
  ISSN-L =       "0368-2692",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See comments \cite{Anonymous:1939:DAE}.",
  URL =          "https://digital-library.theiet.org/content/journals/10.1049/jiee-1.1938.0179",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Inst. Electrical Engineers",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of the Institution of Electrical Engineers",
  journal-URL =  "https://digital-library.theiet.org/content/journals/jiee-1",
}

@Article{Hartree:1938:LDS,
  author =       "D. R. Hartree and A. K. Nuttall",
  title =        "L'analyseur diff{\'e}rentiel et ses applications en
                 {\'e}lectrotechnique. ({French}) [{The} differential
                 analyzer and its applications in electrical
                 engineering]",
  journal =      j-REV-GEN-ELECTR,
  volume =       "45",
  number =       "??",
  pages =        "765--771",
  month =        "????",
  year =         "1938",
  CODEN =        "RGELAC",
  ISSN =         "0035-3116 (print), 2419-6533 (electronic)",
  ISSN-L =       "0035-3116",
  bibdate =      "Sat Aug 05 10:55:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Rev. g{\'e}n{\'e}r. {\'E}lectr., {Paris}",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Revue G{\`e}n{\`e}rale de l'{\'E}lectricit{\`e}",
  jfm =          "65.1335.02",
  journal-URL =  "https://gallica.bnf.fr/ark:/12148/bpt6k6580510q",
  language =     "French",
  remark =       "Only volumes 1--7 (1917--1923) are online at the
                 journal URL.",
  ZBmath =       "2513814",
}

@Article{Hartree:1938:MID,
  author =       "D. R. Hartree",
  title =        "The mechanical integration of differential equations",
  journal =      j-MATH-GAZ,
  volume =       "22",
  number =       "251",
  pages =        "342--364",
  month =        oct,
  year =         "1938",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.2307/3607893",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Hartree describes his Meccano model of a differential
                 analyzer in this paper.",
  URL =          "https://www.jstor.org/stable/3607893",
  ZMnumber =     "0019.27404",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  remark-1 =     "From pp. 349--350: ``\ldots{} my first impression on
                 seeing the photographs of Dr. Bush's machine was that
                 they looked as if some one had been enjoying himself
                 with an extra large Meccano set. This suggested the
                 possibility of trying to build, wholly or at least
                 mainly out of standard Meccano parts, a model version
                 of the machine which would serve as a demonstration
                 model to illustrate qualitatively the general
                 principles on which it works. The result was successful
                 beyond expectation; we found it possible to build,
                 almost entirely in Meccano, a model differential
                 analyser (10), which would work not only qualitatively
                 but quantitatively to an accuracy of about 2 per cent.,
                 which could be (and has been) improved by more
                 attention to details of design. \ldots{} I regard the
                 success of this model as a striking tribute to the
                 versatility and practical value of the Meccano
                 system.''",
  remark-2 =     "From p. 350: ``Other small-scale machines, either
                 built of standard parts or workshop built, have been
                 constructed at Cambridge by Professor Lennard-Jones and
                 at Belfast by Dr. Massey (11), and several others are
                 under construction or contemplated.''",
  remark-3 =     "From p. 350: ``The construction of a somewhat smaller
                 and simpler version is not beyond the resources of
                 schools, and some readers may be interested to know
                 that such a model was built a few years ago at
                 Macclesfield Grammar School by Mr. R. Stone and some of
                 his VI Form boys.''",
  ZBmath =       "3031062; 2518791",
}

@Article{Hartree:1938:NAD,
  author =       "D. R. Hartree and John Ingham",
  title =        "Note on the application of the differential analyser
                 to the calculation of train running times",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "83",
  number =       "??",
  pages =        "1--15",
  day =          "??",
  month =        "????",
  year =         "1938",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
  ZBmath =       "2516370",
}

@Article{Hartree:1938:SCFa,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for calcium",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "164",
  number =       "917",
  pages =        "167--191",
  day =          "21",
  month =        jan,
  year =         "1938",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1938.0012",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://royalsocietypublishing.org/doi/10.1098/rspa.1938.0012;
                 https://ui.adsabs.harvard.edu/abs/1938RSPSA.164..167H",
  acknowledgement = ack-nhfb,
  ajournal =     "Proc. Roy. Soc. A",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  ZBmath =       "2519576",
}

@Article{Hartree:1938:SCFb,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field with exchange for potassium and
                 argon",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "166",
  number =       "927",
  pages =        "450--464",
  month =        jun,
  year =         "1938",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1938.0103",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1938RSPSA.166..450H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Hartree:1938:WFN,
  author =       "D. R. Hartree and William Hartree",
  title =        "Wave functions for negative ions of sodium and
                 potassium",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "34",
  number =       "4",
  pages =        "550--558",
  month =        oct,
  year =         "1938",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100020557",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1938PCPS...34..550H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "2517634",
}

@Article{Copple:1939:ETT,
  author =       "C. Copple and D. R. Hartree and Arthur Porter and H.
                 Tyson",
  title =        "The evaluation of transient temperature distributions
                 in a dielectric in an alternating field",
  journal =      j-J-INST-ELECTR-ENG,
  volume =       "35",
  number =       "511",
  pages =        "56--66",
  month =        jul,
  year =         "1939",
  CODEN =        "JISEAL",
  DOI =          "https://doi.org/10.1049/jiee-1.1939.0135",
  ISSN =         "0368-2692 (print), 2054-0574 (electronic)",
  ISSN-L =       "0368-2692",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://digital-library.theiet.org/content/journals/10.1049/jiee-1.1939.0135",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Inst. Electrical Engineers",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of the Institution of Electrical Engineers",
  journal-URL =  "https://digital-library.theiet.org/content/journals/jiee-1",
}

@Article{Crank:1939:DPC,
  author =       "John Crank and D. R. Hartree and John Ingham and R. W.
                 Sloane",
  title =        "Distribution of potential in cylindrical thermionic
                 valves",
  journal =      j-PROC-PHYS-SOC,
  volume =       "51",
  number =       "6",
  pages =        "952--971",
  month =        nov,
  year =         "1939",
  CODEN =        "PPSOAU",
  DOI =          "https://doi.org/10.1088/0959-5309/51/6/304",
  ISSN =         "0959-5309 (print), 2051-2171 (electronic)",
  ISSN-L =       "0959-5309",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); John Crank (6 February 1916--3 October 2006)",
  fjournal =     "Proceedings of the Physical Society, London",
  journal-URL =  "https://iopscience.iop.org/journal/0959-5309",
}

@Article{Hartree:1939:AAD,
  author =       "D. R. Hartree and A. Porter",
  title =        "Application de l'analyseur diff{\'e}rentiel {\`a}
                 l'{\'e}tude des ondes mobiles sur une ligne de
                 transmission d'{\'e}nergie sans distorsion. ({French})
                 [{Application} of the differential analyzer to the
                 study of moving waves on a power transmission line
                 without distortion]",
  journal =      j-REV-GEN-ELECTR,
  volume =       "45",
  number =       "??",
  pages =        "772--780",
  year =         "1939",
  CODEN =        "RGELAC",
  ISSN =         "0035-3116 (print), 2419-6533 (electronic)",
  ISSN-L =       "0035-3116",
  bibdate =      "Sat Aug 5 10:54:32 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Revue G{\`e}n{\`e}rale de l'{\'E}lectricit{\`e}",
  jfm =          "65.1335.03",
  journal-URL =  "https://gallica.bnf.fr/ark:/12148/bpt6k6580510q",
  language =     "French",
  remark =       "Only volumes 1--7 (1917--1923) are online at the
                 journal URL.",
  ZBmath =       "2513815",
}

@Article{Hartree:1939:NF,
  author =       "D. R. Hartree and S. Johnston",
  title =        "Note on the function $ \chi (x) = \int_0^\infty \exp (
                 - (x - w^2)^2) \, d w $",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "83",
  number =       "??",
  pages =        "183--??",
  day =          "??",
  month =        "????",
  year =         "1939",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
}

@Article{Hartree:1939:NIO,
  author =       "D. R. Hartree",
  title =        "Note on an integral occurring in the cascade theory of
                 cosmic ray showers",
  journal =      j-MEM-PROC-MANCHESTER-LIT-PHILOS-SOC,
  volume =       "83",
  number =       "??",
  pages =        "175--182",
  day =          "??",
  month =        "????",
  year =         "1939",
  CODEN =        "MPMLAQ",
  ISSN =         "0076-3721",
  ISSN-L =       "0076-3721",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Mem. Proc. Manchester Lit. Philos. Soc.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Memoirs and Proceedings of the Manchester Literary and
                 Philosophical Society (Manchester Memoirs)",
  journal-URL =  "http://www.manlitphil.ac.uk/pages/?page_id=20",
}

@Article{Hartree:1939:SCF,
  author =       "D. R. Hartree and William Hartree and Bertha Swirles",
  title =        "Self-consistent field, including exchange and
                 superposition of configurations, with some results for
                 oxygen",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "238",
  number =       "790",
  pages =        "229--247",
  month =        jul,
  year =         "1939",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1939.0008",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1939RSPTA.238..229H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Lady Bertha Swirles Jeffreys (22 May 1903--18
                 December 1999)",
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
}

@Article{Hartree:1940:BDA,
  author =       "D. R. Hartree",
  title =        "The {Bush} differential analyser and its
                 applications",
  journal =      j-NATURE,
  volume =       "146",
  number =       "3697",
  pages =        "319--323",
  day =          "7",
  month =        sep,
  year =         "1940",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/146319a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  MRclass =      "65.0X",
  MRnumber =     "2494",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1940Natur.146..319H",
  ZMnumber =     "0061.29505",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  ZBmath =       "3101393",
}

@Article{Hartree:1940:GCM,
  author =       "D. R. Hartree",
  title =        "A great calculating machine: the {Bush} differential
                 analyser and its applications in science and industry",
  journal =      j-PROC-R-INST-G-B,
  volume =       "31",
  number =       "??",
  pages =        "151--194",
  day =          "??",
  month =        "????",
  year =         "1940",
  CODEN =        "PIGBAI",
  ISSN =         "0035-8959",
  ISSN-L =       "0035-8959",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Presented at the Weekly Evening Meeting Royal
                 Institution of Great Britain. Friday, May 17, 1940.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Institution of Great
                 Britain",
  journal-URL =  "http://catalog.hathitrust.org/Record/008307565",
  xxnote =       "Check pages",
  xxpages =      "151--170",
}

@Article{Hartree:1940:SCFa,
  author =       "William Hartree and D. R. Hartree and Millard F.
                 Manning",
  title =        "Self-consistent field calculations for {Zn}, {Ga},
                 {Ga$^+$}, {Ga$^{+ + +}$}, {As}, {As$^+$}, {As$^{++}$},
                 {As$^{+ + + +}$}",
  journal =      j-PHYS-REV,
  volume =       "59",
  number =       "3",
  pages =        "299--305",
  month =        feb,
  year =         "1940",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.59.299",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.59.299",
  ZMnumber =     "0027.04303",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  remark =       "From the first footnote: ``Prepared for publication by
                 Millard F. Manning, University of Pittsburgh,
                 Pittsburgh, Pennsylvania. Shortly after the outbreak of
                 the war in Europe, Mr. W. Hartree sent to this country
                 a set of the results of his recent unpublished
                 self-consistent field calculations with the request
                 that they be made available to interested physicists in
                 this country. Only the wave functions and not the
                 effective nuclear charges were received. The
                 undersigned has calculated these and supplied the
                 textual material. Professor Hartree has commented on
                 the manuscript but has not seen the proof.
                 Correspondence about this paper and requests for
                 reprints should be addressed to the undersigned. M. F.
                 M.''. According to \cite[pp.
                 128--129]{Simoes:2000:QCG}, Douglas Hartree had written
                 to John C. Slater in 1939, expressing his concern about
                 a coming war in Europe, and wanting to ensure that SCF
                 data for completed calculations should not be lost.
                 Slater responded that the results should be sent to him
                 at MIT, checked, and published in The Physical
                 Review.",
  ZBmath =       "3042621",
}

@Article{Hartree:1940:SCFb,
  author =       "William Hartree and D. R. Hartree and Millard F.
                 Manning",
  title =        "Self-consistent field calculations for {Ge$^{++}$} and
                 {Ge}",
  journal =      j-PHYS-REV,
  volume =       "59",
  number =       "3",
  pages =        "306--307",
  month =        feb,
  year =         "1940",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.59.306",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.59.306",
  ZMnumber =     "0027.04304",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  ZBmath =       "3042622",
}

@TechReport{Hartree:1941:NES,
  author =       "D. R. Hartree",
  title =        "On the non-existence of a steady state in a
                 single-anode cylindrical magnetron under certain
                 conditions'",
  type =         "C.V.D.Report Mag.",
  number =       "6",
  institution =  "????",
  address =      "????",
  month =        sep,
  year =         "1941",
  bibdate =      "Wed Aug 09 11:56:29 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 68/6/79/D.9.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/28633967-3e15-4623-99d1-8247cb198674",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1941:SCF,
  author =       "William Hartree and D. R. Hartree and Millard F.
                 Manning",
  title =        "Self-consistent field, with exchange, for {Si IV} and
                 {Si V}",
  journal =      j-PHYS-REV,
  volume =       "60",
  number =       "12",
  pages =        "857--865",
  month =        dec,
  year =         "1941",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.60.857",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.60.857",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
}

@TechReport{Hartree:1941:SSC,
  author =       "D. R. Hartree",
  title =        "The steady state of a cylindrical magnetron under
                 conditions of space-charge limitation",
  type =         "C. V. D. Report Mag.",
  number =       "1",
  institution =  "????",
  address =      "????",
  day =          "22",
  month =        apr,
  year =         "1941",
  bibdate =      "Wed Aug 09 11:50:17 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference: CSAC 68/6/79/D.5.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/5ee0db12-89f3-4c8a-bb3d-a7b7b38431ec",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@TechReport{Hartree:1942:CTB,
  author =       "D. R. Hartree",
  title =        "The calculation of the transient behaviour of
                 single-anode cylindrical magnetrons under
                 gradually-applied anode potentials'",
  type =         "C. V. D. Report Mag.",
  number =       "23",
  institution =  "????",
  address =      "????",
  month =        nov,
  year =         "1942",
  bibdate =      "Wed Aug 09 11:52:24 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 68/6/79/D.14.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/97e40eb7-76b7-44fa-89ed-f892f90465c9",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@TechReport{Hartree:1942:MPR,
  author =       "D. R. Hartree",
  title =        "A method of plotting results of calculations of
                 electron orbits in a magnetron, and its application to
                 the determination of the emission, anode current, and
                 charge and potential distribution",
  type =         "C. V. D. Report Mag.",
  number =       "18",
  institution =  "????",
  address =      "????",
  month =        jul,
  year =         "1942",
  bibdate =      "Wed Aug 09 11:52:24 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference: CSAC 68/6/79/D.13",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/9b5ed595-cbd1-41f3-8074-e8a4cb0cab9c",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@TechReport{Hartree:1943:PRO,
  author =       "D. R. Hartree",
  title =        "Preliminary report on operating conditions for
                 unstrapped magnetrons derived from a criterion for the
                 instability of the single stream steady state",
  type =         "C. V. D. Report Mag.",
  number =       "31",
  institution =  "????",
  address =      "????",
  month =        may,
  year =         "1943",
  bibdate =      "Wed Aug 09 11:52:24 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 68/6/79/D.18.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/43d39303-3814-423f-a720-e7ef7c7f73fc",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1943:TFK,
  author =       "D. R. Hartree",
  title =        "The {Thirth-Fourth Kelvin Lecture}: Mechanical
                 integration in electrical problems",
  journal =      j-J-INST-ELECTR-ENG,
  volume =       "90",
  number =       "34",
  pages =        "435--442",
  month =        oct,
  year =         "1943",
  CODEN =        "IEJGAB",
  DOI =          "https://doi.org/10.1049/ji-1.1943.0082",
  ISSN =         "0367-7559 (print), 2054-0582 (electronic)",
  ISSN-L =       "0367-7559",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Kelvin lecture to the Institution of Electrical
                 Engineers.",
  URL =          "https://digital-library.theiet.org/content/journals/10.1049/ji-1.1943.0082",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Inst. Electrical Engineers",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of the Institution of Electrical Engineers",
  journal-URL =  "https://digital-library.theiet.org/content/journals/jiee-1",
  xxCODEN =      "JISEAL",
  xxISSN =       "0368-2692 (print), 2054-0574 (electronic)",
  xxissn-l =     "0368-2692",
}

@Article{Jackson:1944:VHF,
  author =       "R. Jackson and R. J. Sarjant and J. B. Wagstaff and
                 Nicholas R. Eyres and D. R. Hartree and J. Ingham",
  title =        "Variable heat flow in steel",
  journal =      "Journal of the Iron and Steel Institute",
  volume =       "150",
  number =       "??",
  pages =        "211--267",
  day =          "??",
  month =        "????",
  year =         "1944",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  journal-URL =  "https://onlinebooks.library.upenn.edu/webbin/serial?id=jironsteelinst",
  remark =       "Check author order. Journal publication ceased in
                 1973: no CODEN or ISSN data",
}

@Article{Eyres:1946:CVH,
  author =       "Nicholas R. Eyres and Douglas Rayner Hartree and John
                 Ingham and R. J. Sarjant and J. B. Wagstaff",
  title =        "The calculation of variable heat flow in solids",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A,
  volume =       "240",
  number =       "813",
  pages =        "1--57",
  day =          "2",
  month =        aug,
  year =         "1946",
  CODEN =        "PTRMAD, PTMSFB",
  DOI =          "https://doi.org/10.1098/rsta.1946.0002",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  MRclass =      "65.0X",
  MRnumber =     "18982",
  MRreviewer =   "R. V. Churchill",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://royalsocietypublishing.org/toc/rsta1934/1946/240/813",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A. Mathematical and Physical Sciences",
  journal-URL =  "http://rsta.royalsocietypublishing.org/",
}

@InCollection{Hartree:1946:ADA,
  author =       "D. R. Hartree",
  booktitle =    "Proceedings of the {First Canadian Mathematics
                 Congress, Montreal}, 1945",
  title =        "The application of the differential analyser to the
                 evaluation of solutions of partial differential
                 equations",
  publisher =    "University of Toronto Press",
  address =      "Toronto, ON, Canada",
  pages =        "327--337",
  year =         "1946",
  MRclass =      "65.0X",
  MRnumber =     "20010",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  ZMnumber =     "0061.29601",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  ZBmath =       "3101399",
}

@Book{Hartree:1946:CMR,
  author =       "D. R. Hartree",
  title =        "Calculating Machines. {Recent} and Prospective
                 Developments and Their Impact on Mathematical Physics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "40 + 2",
  year =         "1946",
  MRclass =      "65.0X",
  MRnumber =     "20009",
  MRreviewer =   "P. W. Ketchum",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  ZMnumber =     "0061.29705",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  ZBmath =       "3101415",
}

@Article{Hartree:1946:EECa,
  author =       "D. R. Hartree",
  title =        "The {ENIAC}, an electronic calculating machine",
  journal =      j-NATURE,
  volume =       "157",
  number =       "3990",
  pages =        "527--527",
  day =          "20",
  month =        apr,
  year =         "1946",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/157527a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1946Natur.157..527H;
                 https://www.nature.com/articles/157527a0",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "See also longer, post-visit, report
                 \cite{Hartree:1946:EECg}.",
}

@Article{Hartree:1946:EECb,
  author =       "D. R. Hartree",
  title =        "The {ENIAC}, an electronic computing machine",
  journal =      j-NATURE,
  volume =       "158",
  number =       "4015",
  pages =        "500--506",
  day =          "12",
  month =        oct,
  year =         "1946",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/158500a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  MRclass =      "65.0X",
  MRnumber =     "18978",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1946Natur.158..500H",
  ZMnumber =     "0061.29707",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "This is a longer, post-visit, report of
                 \cite{Hartree:1946:EECa}.",
  ZBmath =       "3101417",
}

@Article{Hartree:1946:NGC,
  author =       "D. R. Hartree",
  title =        "The new giant calculating machine",
  journal =      "Listener",
  volume =       "??",
  number =       "??",
  pages =        "932--??",
  month =        "????",
  year =         "1946",
  bibdate =      "Thu May 02 07:28:00 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hartree:1947:CAS,
  author =       "D. R. Hartree",
  title =        "The calculation of atomic structures",
  journal =      j-REP-PROG-PHYS,
  volume =       "11",
  number =       "1",
  pages =        "113--143",
  month =        jan,
  year =         "1947",
  CODEN =        "RPPHAG",
  DOI =          "https://doi.org/10.1088/0034-4885/11/1/305",
  ISSN =         "0034-4885 (print), 1361-6633 (electronic)",
  ISSN-L =       "0034-4885",
  MRclass =      "65.0X",
  MRnumber =     "37080",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Appendix on page 143 has corrections and editions to
                 \cite{Swirles:1935:RSC}.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Reports on Progress in Physics",
  journal-URL =  "http://iopscience.iop.org/0034-4885",
}

@Misc{Hartree:1947:CCM,
  author =       "D. R. Hartree",
  title =        "Copy of Calculating Machines",
  howpublished = "UK National Archives papers",
  year =         "1947",
  bibdate =      "Wed Aug 09 12:12:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Hartree's Inaugural address as Plummer Professor of
                 Mathematical Physics, Cambridge. Reference CSAC
                 45.9.76/14.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/170047ef-454d-41e8-bb56-36ac967c4281",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Hartree:1947:CMR,
  author =       "Douglas R. (Douglas Rayner) Hartree",
  title =        "Calculating Machines: Recent and Prospective
                 Developments and Their Impact on Mathematical Physics,
                 Inaugural Lecture",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "40",
  year =         "1947",
  LCCN =         "QA85 .H25c",
  bibdate =      "Mon Nov 4 07:46:57 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  ZMnumber =     "0029.27301",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  keywords =     "computers",
  remark =       "Reprinted in volume VI of the Charles Babbage
                 Institute Reprint Series for the History of Computing,
                 MIT Press and Tomash Publishing, 1984.",
  ZBmath =       "3046032",
}

@Misc{Hartree:1947:MTL,
  author =       "D. R. Hartree",
  title =        "{A. M. Turing}'s lectures on {ACE}",
  howpublished = "World-Wide Web document",
  year =         "1947",
  bibdate =      "Mon Nov 21 07:52:47 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
  URL =          "http://turing.ecs.soton.ac.uk/browse.php/B/2",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "Seven Lectures given on Thursday afternoons in
                 December 1946 and January 1947. These notes are from
                 lectures six and seven.",
}

@InProceedings{Hartree:1947:PMS,
  author =       "D. R. Hartree and S. G. L. Michel and P. Nicolson",
  booktitle =    "Meteorological Factors in Radio-wave Propagation:
                 Reports on Meteorological Effect in Radio Propagation",
  title =        "Practical methods for the solution of the equations of
                 tropospheric refraction",
  publisher =    "Physical Society and Royal Meteorological Society,
                 Great Britain",
  address =      "London, UK",
  pages =        "127--168",
  year =         "1947",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Phyllis Nicolson (1 September 1917--6 October
                 1968)",
  remark =       "Check author order.",
}

@Article{Hartree:1947:RDCa,
  author =       "D. R. Hartree",
  title =        "Recent developments in calculating machines",
  journal =      j-J-SCIENT-INSTR,
  volume =       "24",
  number =       "7",
  pages =        "172--176",
  month =        jul,
  year =         "1947",
  CODEN =        "JSINAY",
  DOI =          "https://doi.org/10.1088/0950-7671/24/7/302",
  ISSN =         "0368-4253, 0950-7671",
  ISSN-L =       "0368-4253",
  MRclass =      "65.0X",
  MRnumber =     "21712",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1947JScI...24..172H",
  ZMnumber =     "0032.21604",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Sci. Instruments",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of Scientific Instruments",
  journal-URL =  "https://iopscience.iop.org/journal/0950-7671",
  ZBmath =       "3049830",
}

@Article{Hartree:1947:RDCb,
  author =       "D. R. Hartree",
  title =        "Recent developments in calculating machines",
  journal =      "{Handel, v.h. XXXe Nederlandisch Natur--en
                 Geneeskundig Congres, Delft}",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "??",
  month =        "????",
  year =         "1947",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Nederlandse Natuur--en Geneeskundig Congres",
  remark =       "No online archive found, not in ISSN portal, not in
                 CASSI.",
}

@Article{Hartree:1947:RDCc,
  author =       "D. R. Hartree",
  title =        "Recent developments in calculating machines",
  journal =      "Journal of the Institution of Electrical Engineers,
                 Part 2: Power Engineering",
  volume =       "95",
  number =       "??",
  pages =        "225--226",
  month =        "????",
  year =         "1947",
  CODEN =        "IEJPA4",
  ISSN =         "0367-7567 (print), 2054-0590 (electronic)",
  ISSN-L =       "0367-7567",
  bibdate =      "Tue Aug 15 17:21:23 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://momot.rs/d1/y/1692186042/124/i/scimag/2/10.1049/ji-2.1948.0059.pdf~/9nLKhh7cjPnREHZ8ysUdag/recent-developments-in-calculating-machines-7th-of--annas-archive.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  journal-URL =  "http://ieeexplore.ieee.org/servlet/opac?punumber=5308791",
  remark =       "No reliable online journal archives found, but 2-page
                 PDF found in faraway place at URL.",
}

@Article{Hartree:1947:RPD,
  author =       "D. R. Hartree",
  title =        "Recent and prospective developments in large digital
                 calculating machines",
  journal =      "Journal of the Royal Naval Scientific Service",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "??",
  month =        jul,
  year =         "1947",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Roy. Naval Sci. Service",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "No online archives yet found. A few volumes marked
                 ``Classified'', but then later marked as approved for
                 release, have been located online, and it appears that
                 1947 would be volume 2. The journal is not found in the
                 ISSN portal, or in CASSI. The UK COPAC catalog records
                 the year 1945, and 1965--1974 only.",
}

@Article{Cope:1948:LBLa,
  author =       "W. F. Cope and D. R. Hartree",
  title =        "The laminar boundary layer in compressible flow",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A,
  volume =       "241",
  number =       "827",
  pages =        "1--69",
  day =          "22",
  month =        jun,
  year =         "1948",
  CODEN =        "PTRMAD, PTMSFB",
  DOI =          "https://doi.org/10.1098/rsta.1948.0008",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  MRclass =      "76.1X",
  MRnumber =     "25857",
  MRreviewer =   "C. C. Lin",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  ZMnumber =     "0041.54205",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A. Mathematical and Physical Sciences",
  journal-URL =  "http://rsta.royalsocietypublishing.org/",
  ZBmath =       "3063789",
}

@Article{Cope:1948:LBLb,
  author =       "W. F. Cope and D. R. Hartree",
  title =        "The laminar boundary layer in compressible flow",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "241",
  number =       "827",
  pages =        "1--69",
  month =        jun,
  year =         "1948",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1948.0008",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
}

@Article{Hartree:1948:DCM,
  author =       "D. R. Hartree and M. H. A. Newman and Maurice V.
                 Wilkes and F. C. Williams and James H. Wilkinson and A.
                 D. Booth",
  title =        "A discussion on computing machines",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "195",
  number =       "1042",
  pages =        "265--287 (2 plates)",
  day =          "22",
  month =        dec,
  year =         "1948",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1948.0118",
  ISSN =         "0962-8444 (print), 2053-9177 (electronic)",
  ISSN-L =       "0962-8444",
  MRclass =      "65.0X",
  MRnumber =     "28103",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1948RSPSA.195..265H",
  ZMnumber =     "0031.12904",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  keywords =     "Analytical Engine; Charles Babbage; ENIAC; IBM
                 automatic sequence-controlled calculator; IBM Selective
                 Sequence Electronic Calculator",
  remark =       "Hartree notes that while Babbage's Analytical Engine
                 design base-10 arithmetic on 50-digit numbers, a binary
                 base greatly simplifies arithmetic operations. He also
                 reports that it is essential that intermediate results
                 can be kept inside the machine for later use, without
                 human interaction.",
  tableofcontents = "A Historical Survey of Digital Computing Machines /
                 D. R. (Douglas Rayner) Hartree, F.R.S. / 265--271 /
                 https://doi.org/10.1098/rspa.1948.0118 \\
                 General principles of the design of all-purpose
                 computing machines / M. H. A. (Maxwell Herman
                 Alexander) Newman, F.R.S. / 271--274 /
                 https://doi.org/10.1098/rspa.1948.0129 \\
                 The design of a practical high-speed computing machine.
                 The EDSAC / M. V. (Maurice Vincent) Wilkes / 274--279 /
                 https://doi.org/10.1098/rspa.1948.0130 \\
                 A Cathode-Ray Tube Digit Store / F. C. (Frederic
                 Calland) Williams / 279--284 /
                 https://doi.org/10.1098/rspa.1948.0131 \\
                 The automatic computing engine at the National Physical
                 Laboratory / J. H. (James Hardy) Wilkinson / 285--286 /
                 https://doi.org/10.1098/rspa.1948.0132 \\
                 Recent computer projects / A. D. (Andrew Donald) Booth
                 / 286--286 / https://doi.org/10.1098/rspa.1948.0133",
  ZBmath =       "3048293",
}

@Article{Hartree:1948:EA,
  author =       "D. R. Hartree",
  title =        "Experimental arithmetic",
  journal =      "Eureka",
  volume =       "??",
  number =       "10",
  pages =        "13--??",
  day =          "??",
  month =        "????",
  year =         "1948",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1948:FAL,
  author =       "D. R. Hartree and S. Johnston",
  title =        "On a function associated with the logarithmic
                 derivative of the gamma function",
  journal =      j-QUART-J-MECH-APPLIED-MATH,
  volume =       "1",
  number =       "1",
  pages =        "29--34",
  month =        jan,
  year =         "1948",
  CODEN =        "QJMMAV",
  DOI =          "https://doi.org/10.1093/qjmam/1.1.29",
  ISSN =         "0033-5614 (print), 1464-3855 (electronic)",
  ISSN-L =       "0033-5614",
  MRclass =      "65.0X",
  MRnumber =     "25800",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://academic.oup.com/qjmam/article/1/1/29/1883490",
  ZMnumber =     "0035.07903",
  abstract =     "The function $ \psi (k) - \log k + 1 / 2 k $ is real
                 for real positive $k$, and complex for pure imaginary
                 $k$, its imaginary part being then given by a simple
                 formula. Its real part, considered as a function of $ 1
                 / k^2$, varies smoothly through $ 1 / k^2 = 0$, and is
                 a convenient auxiliary function to use for
                 interpolation purposes; it is also required in
                 connexion with the tabulation of the confluent
                 hypergeometric function.\par

                 The real part of $ \psi (k) - \log k + 1 / 2 k$ has
                 been evaluated, and is tabulated, as a function of $ 1
                 / k^2$ for the range $ 1 / k^2$ --- 1.00(0.01) + 1.00,
                 to 8 decimals.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Quarterly Journal of Mechanics and Applied
                 Mathematics",
  journal-URL =  "http://qjmam.oxfordjournals.org/content/by/year",
  keywords =     "psi function",
  received =     "17 October 1947",
  ZBmath =       "3053457",
}

@Article{Hartree:1948:HSD,
  author =       "D. R. Hartree",
  title =        "A historical survey of digital computing machines",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "195",
  number =       "1042",
  pages =        "265--271",
  day =          "22",
  month =        dec,
  year =         "1948",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1948.0118",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  note =         "Section on A discussion on computing machines, with
                 contributions by M. H. A. Newman, Maurice V. Wilkes, F.
                 C. Williams, James H. Wilkinson, and A. D. Booth",
  abstract =     "In opening the discussion Professor M. H. A. Newman
                 said that it would be confined to machines which are
                 {\em automatic}, i.e. require no human intervention at
                 any stage; {\em digital}, i.e. such that separate
                 digits of each number are stored in the machine at
                 every stage (in contrast to `analogue' machines such as
                 the Differential Analyzer where the numbers are
                 represented by directly measured physical quantities,
                 e.g. lengths); and {\em general-purpose\/} machines,
                 i.e. machines able without modification to carry out
                 any of a wide variety of computing jobs.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  xxpages =      "265--287 (2 plates)",
}

@Article{Hartree:1948:SCF,
  author =       "D. R. Hartree and William Hartree",
  title =        "Self-consistent field, with exchange, for nitrogen and
                 sodium",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "193",
  number =       "1034",
  pages =        "299--304",
  month =        jul,
  year =         "1948",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1948.0047",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Published after the death of William Hartree (in
                 1943).",
  URL =          "https://ui.adsabs.harvard.edu/abs/1948RSPSA.193..299H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Hartrei:1948:EEC,
  author =       "D. R. Hartre{\u{\i}}",
  title =        "The {ENIAC}, an electronic computing machine",
  journal =      "Uspekhi Matematicheskikh Nauk (N.S.)",
  volume =       "3",
  number =       "5(27)",
  pages =        "146--158",
  year =         "1948",
  ISSN =         "0042-1316 (print), 2305-2872 (electronic)",
  ISSN-L =       "0042-1316",
  MRclass =      "65.0X",
  MRnumber =     "27182",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://mathscinet.ams.org/mathscinet-getitem?mr=27182;
                 https://www.mathnet.ru/eng/rm/v3/i5/p146;
                 https://www.mathnet.ru/eng/rm8760",
  acknowledgement = ack-nhfb,
  ajournal =     "Uspehi Matem. Nauk (N.S.)",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Akademiya Nauk SSSR i Moskovskoe Matematicheskoe
                 Obshchestvo. Uspekhi Matematicheskikh Nauk",
  journal-URL =  "https://www.mathnet.ru/php/archive.phtml?jrnid=rm&wshow=contents1&option_lang=eng",
}

@InCollection{Hartree:1949:CBA,
  author =       "Douglas R. (Douglas Rayner) Hartree",
  title =        "{Charles Babbage} and the {Analytical Engine}",
  crossref =     "Hartree:1949:CIM",
  pages =        "??--??",
  year =         "1949",
  bibdate =      "Tue Jun 19 06:41:01 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/adabooks.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Hartree:1949:DAM,
  author =       "D. R. Hartree",
  title =        "The Differential Analyser: Monograph",
  volume =       "17",
  publisher =    "Ministry of Supply, Permanent Records of Research and
                 Development",
  address =      "London, UK",
  pages =        "502--??",
  year =         "1949",
  bibdate =      "Fri Aug 04 06:51:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1949:MCM,
  author =       "D. R. Hartree",
  title =        "Modern calculating machines",
  journal =      j-ENDEAVOUR,
  volume =       "8",
  number =       "30",
  pages =        "??--??",
  day =          "??",
  month =        "????",
  year =         "1949",
  CODEN =        "ENDEAS",
  ISSN =         "0160-9327 (print), 1873-1929 (electronic)",
  ISSN-L =       "0160-9327",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Endeavour",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01609327",
}

@Article{Hartree:1949:NIP,
  author =       "D. R. Hartree",
  title =        "Notes on iterative processes",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "45",
  number =       "2",
  pages =        "230--236",
  month =        apr,
  year =         "1949",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100024762",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.0X",
  MRnumber =     "29268",
  MRreviewer =   "E. Bodewig",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Correction: in equation (29) at the bottom of page
                 233, replace the denominator term $ 2 y_0 $ by $ 2 y_1
                 $, matching the denominator in equation (32) on page
                 234.",
  URL =          "https://ui.adsabs.harvard.edu/abs/1949PCPS...45..230H",
  ZMnumber =     "0033.19003",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  keywords =     "$1/p$-th root; iterative process; reciprocal square
                 root; square root",
  ZBmath =       "3051117",
}

@Article{Hartree:1949:NSR,
  author =       "D. R. Hartree",
  title =        "Note On Systematic Roundoff Errors in Numerical
                 Integration",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "42",
  number =       "1",
  pages =        "62--62",
  month =        jan,
  year =         "1949",
  DOI =          "https://doi.org/10.6028/jres.042.005",
  ISSN =         "0091-0635 (print), 2376-5305 (electronic)",
  ISSN-L =       "0091-0635",
  bibdate =      "Wed Feb 14 19:07:37 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Appendix to Harry D. Huskey, \booktitle{On the
                 Precision of a Certain Procedure of Numerical
                 Integration}, 42(1) 57--62 (1949). Hartree shows that a
                 small stepsize in numerical integration of a
                 differential equation can produce biased rounding
                 errors of the same sign that accumulate over the
                 computation.",
  URL =          "https://nvlpubs.nist.gov/nistpubs/jres/42/jresv42n1p57_A1b.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards (1934)",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}

@Book{Hartree:1949:SEL,
  author =       "D. R. Hartree",
  title =        "The Solution of the Equations of the Laminar Boundary
                 Layer for {Schubauer}'s Observed Pressure Distribution
                 for an Elliptic Cylinder",
  number =       "2427",
  publisher =    "Aeronautical Research Council, Ministry of Supply",
  address =      "London, UK",
  pages =        "30",
  year =         "1949",
  MRclass =      "76.1X",
  MRnumber =     "32315",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  series =       "",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "This report is mentioned in \cite[p.
                 197]{SwirlesJeffreys:1987:DRH}",
  xxnote =       "Check: Aeronautical Research Council, or Aeronautical
                 Research Committee??",
}

@Book{Hartree:1949:SLB,
  author =       "D. R. Hartree",
  title =        "A Solution of the Laminar Boundary-layer Equation for
                 Retarded Flow",
  number =       "2426",
  publisher =    "Aeronautical Research Council, Ministry of Supply",
  pages =        "27",
  year =         "1949",
  MRclass =      "76.1X",
  MRnumber =     "32314",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  series =       "",
  abstract =     "London, UK",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "This report is mentioned in \cite[p.
                 197]{SwirlesJeffreys:1987:DRH}",
  xxnote =       "Check: Aeronautical Research Council, or Aeronautical
                 Research Committee??",
}

@Article{Hartree:1949:TBF,
  author =       "D. R. Hartree",
  title =        "The tabulation of {Bessel} functions for large
                 argument",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "45",
  number =       "4",
  pages =        "554--557",
  month =        oct,
  year =         "1949",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100025251",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.0X",
  MRnumber =     "33179",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1949PCPS...45..554H",
  ZMnumber =     "0034.38001",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3053054",
}

@Article{Hartree:1950:ACM,
  author =       "D. R. Hartree",
  title =        "Automatic calculating machines",
  journal =      j-MATH-GAZ,
  volume =       "34",
  number =       "310",
  pages =        "241--252 (4 plates)",
  month =        dec,
  year =         "1950",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.2307/3611023",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  MRclass =      "65.0X",
  MRnumber =     "38721",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Also in German translation \cite{Hartree:1951:ARG}.",
  ZMnumber =     "0039.34402",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "The Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  ZBmath =       "3059875",
}

@Book{Hartree:1950:CIM,
  author =       "Douglas R. (Douglas Rayner) Hartree",
  title =        "Calculating Instruments and Machines",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "ix + 138",
  year =         "1950",
  LCCN =         "B 4 248 631",
  bibdate =      "Mon Nov 4 07:46:57 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  note =         "Reprint, with minor revisions, of
                 \cite{Hartree:1949:CIM}.",
  ZMnumber =     "0037.36105",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  keywords =     "calculators; mathematical instruments",
  tableofcontents = "1. Introduction \\
                 2. The differential analyser \\
                 3. The differential analyser and partial differential
                 equations \\
                 4. Some other instruments \\
                 5. Introduction to large automatic digital machines \\
                 6. Charles Babbage and the analytical engine \\
                 7. The first stage of development \\
                 8. Projects and prospects \\
                 9. High-speed automatic digital machines and numerical
                 analysis \\
                 References \\
                 Names index \\
                 Subject index",
  ZBmath =       "3057101",
}

@Article{Hartree:1950:MNI,
  author =       "D. R. Hartree",
  title =        "A method for the numerical integration of first-order
                 differential equations",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "46",
  number =       "3",
  pages =        "523--524",
  month =        jul,
  year =         "1950",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100026050",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.0X",
  MRnumber =     "38730",
  MRreviewer =   "H. O. Hartley",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1950PCPS...46..523H",
  ZMnumber =     "0036.20601",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3055202",
}

@Article{Hartree:1950:SCT,
  author =       "D. R. Hartree",
  title =        "Some calculations of transients in an electronic
                 valve",
  journal =      j-APPL-SCI-RES-SECT-B,
  volume =       "B1",
  pages =        "379--390",
  month =        dec,
  year =         "1950",
  CODEN =        "ASRBAC",
  DOI =          "https://doi.org/10.1007/BF02919956",
  ISSN =         "0365-7140 (print), 1872-8065 (electronic)",
  ISSN-L =       "0365-7140",
  MRclass =      "78.0X",
  MRnumber =     "34253",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Applied Scientific Research, Section B",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/12380",
  received =     "17 October 1949",
  xxyear =       "1949",
}

@Article{Hartree:1951:ARG,
  author =       "D. R. Hartree",
  title =        "{Automatische Rechenmaschinen}. ({German})
                 [{Automatic} calculators]",
  journal =      j-Z-ANGE-MATH-MECH,
  volume =       "31",
  number =       "1--2",
  pages =        "1--12",
  month =        jan # "\slash " # feb,
  year =         "1951",
  CODEN =        "ZAMMAX",
  DOI =          "https://doi.org/10.1002/zamm.19510310102",
  ISSN =         "0044-2267 (print), 1521-4001 (electronic)",
  ISSN-L =       "0044-2267",
  MRclass =      "65.0X",
  MRnumber =     "40062",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "German translation of \cite{Hartree:1950:ACM}.",
  URL =          "https://ui.adsabs.harvard.edu/abs/1951ZaMM...31....1H",
  ZMnumber =     "0042.13404",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Zeitschrift f{\"u}r Angewandte Mathematik und
                 Mechanik. Ingenieurwissenschaftliche
                 Forschungsarbeiten",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
  language =     "German",
  ZBmath =       "3064507",
}

@InCollection{Hartree:1951:F,
  author =       "D. R. Hartree",
  title =        "Foreword",
  crossref =     "Wilkes:1951:PPE",
  pages =        "v--v",
  month =        jan,
  year =         "1951",
  bibdate =      "Thu Aug 17 09:34:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@InCollection{Hartree:1951:SUP,
  author =       "D. R. Hartree",
  booktitle =    "Problems for the numerical analysis of the future",
  title =        "Some unsolved problems of numerical analysis",
  number =       "15",
  publisher =    pub-US-GPO,
  address =      pub-US-GPO:adr,
  bookpages =    "iv + 21",
  pages =        "1--9",
  year =         "1951",
  MRclass =      "65.0X",
  MRnumber =     "42782",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "One of four papers. Other contributions in the volume
                 are by S. Lefschetz, Bernard Friedman, and George B.
                 Dantzig.",
  series =       "Applied Mathematics",
  ZMnumber =     "0045.21901",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  xxtitle =      "Some unsolved problems in numerical analysis",
  ZBmath =       "3070104",
}

@Article{Hartree:1952:ACM,
  author =       "D. R. Hartree",
  title =        "Automatic calculating machines and their potential
                 application in the office",
  journal =      "Office Management Association Journal",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "??",
  month =        aug,
  year =         "1952",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Office Management Assoc. J.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Hartree:1952:NA,
  author =       "D. R. Hartree",
  title =        "Numerical Analysis",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xiv + 287",
  year =         "1952",
  MRclass =      "65.0X",
  MRnumber =     "52871",
  MRreviewer =   "P. W. Ketchum",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also second edition \cite{Hartree:1958:NA}.",
  ZMnumber =     "0049.35905",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark-1 =     "No online tableofcontents data could found for the
                 first edition, but a physical volume borrowed from a
                 library allowed a scan to PDF with OCR and data
                 recovery.",
  remark-2 =     "From the preface: ``I have tried to give prominence to
                 the importance of checking in numerical work. Mistakes
                 can occur in such work, and it follows that some
                 process of checking is necessary to ensure that any
                 results obtained are not vitiated by undetected
                 mistakes. A treatment of numerical methods which does
                 not pay some attention to this aspect of the subject
                 seems to me to be quite unrealistic. In some worked
                 examples I have deliberately introduced mistakes in
                 order to show how, by suitable checking procedure, they
                 can be detected, diagnosed, and corrected.''",
  shorttableofcontents = "I. Introduction / 1 \\
                 II. The Tools of Numerical Work and How to Use Them /
                 11 \\
                 III. Evaluation of Formulae / 27 \\
                 IV. Finite Differences / 34 \\
                 V. Interpolation / 60 \\
                 VI. Integration (Quadrature) and Differentiation / 95
                 \\
                 VII. Integration of Ordinary Differential Equations \\
                 VIII. Simultaneous Linear Algebraic Equations and
                 Matrices / 150 \\
                 IX. Non-Linear Algebraic Equations / 190 \\
                 X. Functions of Two or More Variables / 214 \\
                 XI. Miscellaneous Processes / 239 \\
                 XII. Organization of Calculations for an Automatic
                 Machine / 255 \\
                 Index / 284",
  tableofcontents = "I. Introduction / 1 \\
                 1.1. What numerical analysis is about / 1 \\
                 1.2. The main types of problems in numerical analysis/
                 4 \\
                 1.3. Errors, mistakes, and checking / 5 \\
                 1.4. Arrangement of work / 8 \\
                 1.5. Accuracy and precision / 9 \\
                 \\
                 II. The Tools of Numerical Work and How to Use Them /
                 11 \\
                 2.1. The main tools of numerical work / 11 \\
                 2.2. Desk machines / 11 \\
                 2.21. Addition and subtraction / 14 \\
                 2.22. Transfer from accumulator to setting keys or
                 levers / 15 \\
                 2.23. Multiplication / 16 \\
                 2.24. Division / 17 \\
                 2.25. Other calculations / 19 \\
                 2.26. Adding machines / 19 \\
                 2.3. Mathematical tables / 20 \\
                 2.31. Critical tables / 21 \\
                 2.32. Auxiliary variables in tables / 22 \\
                 2.4. Slide rule / 23 \\
                 2.5. Graph paper / 24 \\
                 2.6. Other machines / 24 \\
                 2.7. The organization of a calculation / 25 \\
                 \\
                 III. Evaluation of Formulae / 27 \\
                 3.1. The significance of formulae in numerical work /
                 27 \\
                 3.2. Evaluation of polynomials / 29 \\
                 3.3. Evaluation of power series / 30 \\
                 3.4. Kinds of formulae to avoid / 31 \\
                 3.5. Evaluation of a function in the neighbourhood of a
                 value of the argument at which it becomes indeterminate
                 / 33 \\
                 \\
                 IV. Finite Differences / 34 \\
                 4.1. Functions of a continuous variable in numerical
                 analysis / 34 \\
                 4.2. Finite differences / 36 \\
                 4.21. Notation for finite differences / 37 \\
                 4.3. Finite differences in terms of function values /
                 39 \\
                 4.4. Simple applications of differences / 40 \\
                 4.41. Differences of a polynomial / 40 \\
                 4.42. Building up polynomials / 42 \\
                 4.43. Checking by differences / 44 \\
                 4.44. Effect of rounding errors on differences / 47 \\
                 4.45. Direct evaluation of second differences / 48 \\
                 4.46. Building up from second differences / 49 \\
                 4.5. Differences and derivatives / 50 \\
                 4.6. Finite difference operators / 51 \\
                 4.7. Examples of the use of finite difference operators
                 / 55 \\
                 4.71. Derivatives in terms of differences / 56 \\
                 4.72. Negative powers of $(U/\delta)$ / 56 \\
                 4.73. $\delta^2 f$ in terms of $f''$ and its
                 differences / 57 \\
                 4.74. $\delt f_{1/2}$ symmetrically in terms of $f'$
                 and its differences at $x_0$ and $x_1$ / 58 \\
                 4.75. $\mu \delta f$, in terms of $f'$ and its
                 differences at $x = x_0$ / 58 \\
                 \\
                 V. Interpolation / 60 \\
                 5.1. Linear and non-linear interpolation / 60 \\
                 5.11. Linear interpolation / 61 \\
                 5.2. Non-linear interpolation / 62 \\
                 5.21. Half-way interpolation / 62 \\
                 5.22. Newton's forward-difference formula / 64 \\
                 5.3. Some expansions / 65 \\
                 5.4. Everett's interpolation formula / 67 \\
                 5.41. Bessel's interpolation formula / 68 \\
                 5.42. Use of Bessel's and Everett's formulae / 70 \\
                 5.43. Practical details for non-linear interpolation /
                 72 \\
                 5.5. Lagrange's formula / 74 \\
                 5.51. Special interpolation methods for particular
                 functions / 76 \\
                 5.6. Subtabulation / 77 \\
                 5.61. Method of bridging differences / 79 \\
                 5.7. Interpolation of a function given at unequal
                 intervals of the argument / 83 \\
                 5.71. Evaluation of Lagrange's interpolation formula by
                 a sequence of linear cross-means / 84 \\
                 5.72. Divided differences / 87 \\
                 5.8. Inverse interpolation / 90 \\
                 5.81. How not to do inverse interpolation / 92 \\
                 6.9. Truncation errors in interpolation formulae / 94
                 \\
                 VI. Integration (Quadrature) and Differentiation / 95
                 \\
                 6.1. Definite and indefinite integrals, and the
                 integration of differential equations / 95 \\
                 6.2. Integration formula in terms of integrand and its
                 differences / 96 \\
                 6.21. An alternative derivation / 97 \\
                 6.22. Integration formula in terms of the integrand and
                 the differences of its derivative / 98 \\
                 6.23. Integration formula in terms of the integrand and
                 its derivatives / 99 \\
                 6.3. Integration over more than one interval / 99 \\
                 6.4. Evaluation of an integral as a function of its
                 upper limit / 101 \\
                 6.41. Change of interval length in an integration / 104
                 \\
                 6.42. Integration in the neighbourhood of a singularity
                 of the integrand / 106 \\
                 6.43. Integration when the integrand increases
                 `exponentially' / 108 \\
                 6.5. Intervals between fixed limits / 109 \\
                 6.51. Gregory's formula / 110 \\
                 6.52. Integral in terms of function values / 111 \\
                 6.53. User of Simpson's or Weddle's rules / 111 \\
                 6.54. The integral $\int_0^\infty e^{-x^2} \, dx$ / 111
                 \\
                 6.55. Evaluation of a definite integral when the
                 integrand has a singularity / 113 \\
                 6.56. Definite integrals which are functions of &
                 parameter / 113 \\
                 6.57. Use of unequal intervals of the independent
                 variables / 115 \\
                 6.6. Numerical differentiation / 116 \\
                 6.61. Differentiation formulae / 118 \\
                 6.62. Graphical differentiation / 120 \\
                 6.7. Errors of interpolation and integration formulae /
                 121 \\
                 6.71. Use of formulae for the error / 124 \\
                 \\
                 VII. Integration of Ordinary Differential Equations \\
                 7.1. Step-by-step methods / 125 \\
                 7.11. One-point and two-point boundary conditions / 125
                 \\
                 7.2. Second-order equation with first derivative absent
                 / 126 \\
                 7.21. Change of the interval of integration / 130 \\
                 7.22. Variants of the method / 132 \\
                 7.3. First-order differential equations / 133 \\
                 7.31. Another method for a first-order equation / 135
                 \\
                 7.32. Second-order equation with the first derivative
                 present / 136 \\
                 7.33. Equations of order higher than the second / 137
                 \\
                 7.4. Taylor series method / 137 \\
                 7.5. Other procedures / 139 \\
                 7.51. Richardson's `deferred approach to the limit' /
                 139 \\
                 7.52. Iterative processes / 141 \\
                 7.6. Two-point boundary conditions / 143 \\
                 7.61. Iterative quadrature / 144 \\
                 7.62. Characteristic value problems / 146 \\
                 7.7. Further notes on numerical integration of ordinary
                 differential equations / 147 \\
                 7.71. The Madelung transformation / 148 \\
                 7.72. The Riccati transformation / 148 \\
                 \\
                 VIII. Simultaneous Linear Algebraic Equations and
                 Matrices / 150 \\
                 8.1. Direct and indirect methods for simultaneous
                 linear equations / 150 \\
                 8.11. Matrices / 152 \\
                 8.12. Ill-conditioned equations / 152 \\
                 8.13. Normal equations / 155 \\
                 8.2. Elimination / 155 \\
                 8.21. General elimination process / 157 \\
                 8.22. Evaluation of a solution by elimination / 159 \\
                 8.23. Alternative arrangement of the elimination
                 process / 162 \\
                 8.3. Inverse of a matrix by elimination / 162 \\
                 8.4. Choleski's method / 164 \\
                 8.41. inverse of a matrix by Choleski's method / 167
                 \\
                 8.5. Relaxation method / 167 \\
                 8.51. Group relaxations / 170 \\
                 8.52. Use and limitations of the relaxation method /
                 171 \\
                 8.53. Linear differential equations and linear
                 simultaneous equations / 178 \\
                 8.6. Characteristic values and vectors of a matrix /
                 178 \\
                 8.61. Iterative method for evaluation of characteristic
                 values and characteristic vectors of a symmetrical
                 matrix / 180 \\
                 8.62. An alternative process / 180 \\
                 8.63. Richardson's purification process for
                 characteristic vectors / 182 \\
                 8.7. Relaxation process for characteristic vectors /
                 182 \\
                 IX. Non-Linear Algebraic Equations / 190 \\
                 9.1. Solution of algebraic equations / 190 \\
                 9.2. Graphical methods / 190 \\
                 9.3. Iterative processes / 191 \\
                 9.31. Examples of iterative processes / 196 \\
                 9.32. Derivation of a second-order process from a
                 first-order process / 197 \\
                 9.4. Multiple roots and neighbouring roots / 197 \\
                 9.5. Special processes for special types of equations /
                 198 \\
                 9.51. Quadratic equations / 200 \\
                 9.52. Cubic and quartic equations / 200 \\
                 9.53. Polynomial equations / 200 \\
                 9.54. Repeated roots / 201 \\
                 9.55. Division of a polynomial by a quadratic / 201 \\
                 9.56. Real quadratic factors of a polynomial / 203 \\
                 9.57. Second-order process for improving the
                 approximation to a quadratic factor / 205 \\
                 9.6. Simultaneous non-linear equations / 207 \\
                 9.7. Three or more variables / 212 \\
                 \\
                 X. Functions of Two or More Variables / 214 \\
                 10.1. Functions of a complex variables and functions of
                 two variables / 214 \\
                 10.11. Numerical calculations with complex numbers /
                 214 \\
                 10.2. Finite differences in two dimensions; square grid
                 / 215 \\
                 10.3. The operator $\partial^2 /\partial x^2 +
                 \partial^2/\partial y^2$ / 217 \\
                 10.31. Special relations when $\partial^2 f / \partial
                 x^2 + \partial^2 f / \partial y^2 = 0$ / 218 \\
                 10.4. Finite differences in cylindrical coordinates /
                 219 \\
                 10.5. Partial differential equations / 221 \\
                 10.6. Elliptic equations / 223 \\
                 10.61. Relaxation process / 224 \\
                 10.62. Reducing the mesh size / 228 \\
                 10.63. Further notes on the relaxation process / 230
                 \\
                 10.64. Richardson--Liebmann process for Laplace's
                 equation / 232 \\
                 10.7. Parabolic equations / 232 \\
                 10.71. Replacement of the second-order (space)
                 derivative by a finite difference / 233 \\
                 10.72. Replacement of the first-order (time) derivative
                 by a finite difference / 233 \\
                 10.73. Replacement of both derivatives by finite
                 differences / 235 \\
                 10.74. Note on methods for parabolic equations / 236
                 \\
                 10.8. Hyperbolic equations. Characteristics / 236\\
                 10.81. Finite differences between characteristics / 238
                 \\
                 \\
                 XI. Miscellaneous Processes / 239 \\
                 11.1. Summation of series / 239 \\
                 11.11. Euler's transformation for a slowly convergent
                 series of terms of alternate signs / 240 \\
                 11.12. Use of the Euler--Maclaurin integration formula
                 in the summation of series / 241 \\
                 11.2. Harmonic analysis / 247 \\
                 11.3. Recurrence relations for a sequence of functions
                 / 246 \\
                 11.4. Smoothing / 247 \\
                 11.41. Automatic methods of smoothing / 249 \\
                 11.42. Smoothing by use of an auxiliary function / 251
                 \\
                 \\
                 XII. Organization of Calculations for an Automatic
                 Machine / 255 \\
                 12.1. Automatic digital calculating machines / 255 \\
                 12.2, Preparation of calculations for an automatic
                 digital calculating machine / 258 \\
                 12.3. Flow diagrams / 259 \\
                 12.4. Coding / 261 \\
                 12.5. Examples of programming and coding / 263 \\
                 12.6. Form of instructions on the input tape / 267 \\
                 12.7. Sub-routines / 269 \\
                 12.8. Hand and automatic calculation / 271 \\
                 Examples / 274 \\
                 Bibliography / 280 \\
                 Index / 284",
  ZBmath =       "3078040",
}

@Article{Ullrich:1952:BCI,
  author =       "Egon Ullrich",
  title =        "{Besprechung: \booktitle{Calculating Instruments and
                 Machines}, von D. R. Hartree}",
  journal =      j-Z-NATURFORSCH-A-ASTROPHYS-PHYS-PHYS-CHEM,
  volume =       "7",
  pages =        "448--448",
  month =        jan,
  year =         "1952",
  CODEN =        "ZENAAU",
  DOI =          "https://doi.org/10.1515/zna-1952-0613",
  ISSN =         "0044-3166",
  ISSN-L =       "0044-3166",
  bibdate =      "Sat Aug 5 06:02:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1952ZNatA...7..448H;
                 https://www.degruyter.com/document/doi/10.1515/zna-1952-0613/html",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Naturforschung Teil A:
                 Astrophysik, Physik, und Physikalische Chemie}",
  journal-URL =  "https://www.degruyter.com/journal/key/zna/html",
  language =     "German",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Hartree:1953:CIM,
  author =       "Douglas R. (Douglas Rayner) Hartree",
  title =        "Calculating Instruments and Machines",
  publisher =    pub-U-ILL,
  address =      pub-U-ILL:adr,
  pages =        "ix + 138",
  year =         "1953",
  LCCN =         "QA85 .H29",
  bibdate =      "Mon Nov 4 07:46:57 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  keywords =     "calculators; mathematical instruments",
}

@Article{Hartree:1954:EDI,
  author =       "D. R. Hartree",
  title =        "The evaluation of a diffraction integral",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "50",
  number =       "4",
  pages =        "567--574",
  month =        oct,
  year =         "1954",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100029686",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.0X",
  MRnumber =     "64486",
  MRreviewer =   "John\ Todd",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1954PCPS...50..567H",
  ZMnumber =     "0056.35401",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3090518",
}

@Book{Wilkes:1954:IPA,
  author =       "Maurice V. Wilkes and D. Wheeler and Stanley Gill",
  title =        "Introduction to Programming for an Automatic Digital
                 Calculating Machine and Users' Guide to the {EDSAC}: a
                 Supplement to {{\booktitle{The Preparation of Programs
                 for an Electronic Digital Computer}}}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  year =         "1954",
  bibdate =      "Sat Aug 05 15:49:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Part I by D. R. Hartree. Part II edited by E. N.
                 Mutch.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Douglas:1955:AWF,
  author =       "A. S. Douglas and D. R. Hartree and W. A. Runciman",
  title =        "Atomic wave functions for gold and thallium",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "51",
  number =       "3",
  pages =        "486--503",
  month =        jul,
  year =         "1955",
  CODEN =        "PCPSA4",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1955:AWF,
  author =       "D. R. Hartree",
  title =        "Approximate wave functions, with exchange for
                 {Mn$^{+2}$}",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "51",
  number =       "1",
  pages =        "126--130",
  month =        jan,
  year =         "1955",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100030000",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.0X",
  MRnumber =     "66755",
  MRreviewer =   "A. Erd\'{e}lyi",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1955PCPS...51..126H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1955:IAW,
  author =       "D. R. Hartree",
  title =        "The interpolation of atomic wave functions",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "51",
  number =       "4",
  pages =        "684--692",
  month =        oct,
  year =         "1955",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100030759",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1955PCPS...51..684H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Article{Hartree:1956:AWF,
  author =       "D. R. Hartree",
  title =        "Approximate wave functions for some atoms of the first
                 long period",
  journal =      j-J-OPT-SOC-AM,
  volume =       "46",
  number =       "5",
  pages =        "350--353",
  day =          "1",
  month =        may,
  year =         "1956",
  CODEN =        "JOSAAH",
  DOI =          "https://doi.org/10.1364/JOSA.46.000350",
  ISSN =         "0030-3941",
  ISSN-L =       "0030-3941",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://opg.optica.org/josa/fulltext.cfm?uri=josa-46-5-350;
                 https://ui.adsabs.harvard.edu/abs/1956JOSA...46..350H",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Opt. Soc. Amer.",
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Journal of the Optical Society of America",
  journal-URL =  "http://www.osapublishing.org/josa/browse.cfm",
}

@Article{Hartree:1956:SNA,
  author =       "D. R. Hartree",
  title =        "Session on Numerical Analysis {II}: Introduction",
  journal =      "Proceedings of the {IEE --- Part B: Radio and
                 Electronic Engineering}",
  volume =       "103",
  number =       "1S",
  pages =        "149--150",
  month =        apr,
  year =         "1956",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1049/pi-b-1.1956.0033",
  ISSN =         "2050-2656 (print), 2054-0434 (electronic)",
  ISSN-L =       "2050-2656",
  bibdate =      "Mon Aug 7 09:44:39 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  journal-URL =  "https://digital-library.theiet.org/content/journals/pi-b-1",
  remark =       "Address delivered 10 April 1956. PDF at DOI is blurry
                 and difficult to read. Journal was published only from
                 1955--1958, and is not in the US Library of Congress
                 catalog.",
}

@Article{Froese:1957:WFN,
  author =       "Charlotte Froese and D. R. Hartree",
  title =        "Wave functions for the normal states of {Ne$^{+3}$}
                 and {Ne$^{+4}$}",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "53",
  number =       "3",
  pages =        "663--668",
  month =        jul,
  year =         "1957",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100032734",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "81.99",
  MRnumber =     "128906",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}

@Book{Goodwin:1957:MNA,
  editor =       "E. T. (Eric Thomson) Goodwin and D. R. Hartree and
                 Leslie Fox",
  title =        "Monographs on Numerical Analysis",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "????",
  year =         "1957",
  LCCN =         "????",
  bibdate =      "Sat Aug 05 15:55:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "WorldCat shows only three library holdings, and no
                 page range, table of contents, or LCCN data have been
                 found. Digitized in Google Books archive, but no
                 snippets are available.",
}

@Book{Hartree:1957:CAS,
  author =       "Douglas R. Hartree",
  title =        "The Calculation of Atomic Structures",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xiii + 181",
  year =         "1957",
  MRclass =      "81.0X",
  MRnumber =     "90408",
  MRreviewer =   "P.-O. L{\"o}wdin",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Based on lectures given under the auspices of the
                 William Pyle Philips Fund of Haverford College, 1955.",
  ZMnumber =     "0079.21401",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  remark =       "Co-published by Chapman \& Hall, Ltd., London.",
  ZBmath =       "3130133",
}

@InCollection{Hartree:1957:VAW,
  author =       "D. R. Hartree",
  booktitle =    "International conference on current problems in
                 crystal physics. {Massachusetts Institute of
                 Technology, Cambridge, Mass., July 1--5}",
  title =        "The variation of atomic wave functions with atomic
                 number",
  publisher =    pub-MIT,
  address =      pub-MIT:adr,
  pages =        "47--65",
  year =         "1957",
  MRclass =      "81.0X",
  MRnumber =     "85922",
  MRreviewer =   "C. Froese",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1958:MNI,
  author =       "D. R. Hartree",
  title =        "A method for the numerical integration of the linear
                 diffusion equation",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "54",
  number =       "2",
  pages =        "207--213",
  year =         "1958",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/s0305004100033351",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  MRclass =      "65.00",
  MRnumber =     "97158",
  MRreviewer =   "J. Schr{\"o}der",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1958PCPS...54..207H",
  ZMnumber =     "0080.33305",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  ZBmath =       "3132211",
}

@Book{Hartree:1958:NA,
  author =       "Douglas R. Hartree",
  title =        "Numerical Analysis",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  edition =      "Second",
  pages =        "xvi + 302",
  year =         "1958",
  MRclass =      "65.00",
  MRnumber =     "100335",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also first edition \cite{Hartree:1952:NA}.",
  ZMnumber =     "0082.11902",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  shorttableofcontents = "I: Introduction \\
                 II: The Tools of Numerical Work and How to Use Them \\
                 III: Evaluation of Formulae \\
                 IV: Finite Differences \\
                 V: Interpolation \\
                 VI: Integration (Quadrature) and Differentiation \\
                 VII: Integration of Ordinary Differential Equations \\
                 VIII: Simultaneous Linear Algebraic Equations and
                 Matrices \\
                 IX: Non-Linear Algebraic Equations \\
                 X: Functions of Two or More Variables \\
                 XI: Miscellaneous Processes \\
                 XII: Organization of Calculations for an Automatic
                 Machine \\
                 Bibliography \\
                 Index",
  tableofcontents = "Preface to the Second Edition (Cavendish Laboratory
                 Cambridge October 1957) \\
                 \\
                 Preface to the First Edition (Cavendish Laboratory
                 Cambridge May 1952) \\
                 \\
                 I: Introduction \\
                 1.1. What numerical analysis is about \\
                 1.2. The main types of problems in numerical analysis
                 \\
                 1.3. Errors, mistakes and checking \\
                 1.4. Arrangement of work \\
                 1.5. Accuracy and precision \\
                 II: The Tools of Numerical Work and How to Use Them \\
                 2.1. The main tools of numerical work \\
                 2.2. Desk machines \\
                 2.21. Addition and subtraction \\
                 2.22. Transfer from accumulator to setting keys or
                 levers \\
                 2.23. Multiplication \\
                 2.24. Division \\
                 2.25. Other calculations \\
                 2.26. Adding machines \\
                 2.3. Mathematical tables \\
                 2.4. Slide rule \\
                 2.5. Graph paper \\
                 2.6. Other machines \\
                 III: Evaluation of Formulae \\
                 3.1. The significance of formulae in numerical work \\
                 3.2. Evaluation of polynomials \\
                 3.3. Evaluation of power series \\
                 3.4. Kinds of formulae to avoid \\
                 3.5. Evaluation of a function in the neighbourhood of a
                 value of the argument at which it becomes indeterminate
                 \\
                 IV: Finite Differences \\
                 4.1. Functions of a continuous variable in numerical
                 analysis \\
                 4.2. Finite differences \\
                 4.21. Notation for finite differences \\
                 4.3. Finite differences in terms of function values \\
                 4.4. Simple applications of differences \\
                 4.41. Differences of a polynomial \\
                 4.42. Building up of polynomials \\
                 4.43. Checking by differences \\
                 4.44. Effect of rounding errors on differences \\
                 4.45. Direct evaluation of second differences \\
                 4.46. Building up from second differences \\
                 4.5. Differences and derivatives \\
                 4.6. Finite difference operators \\
                 4.7. Examples of the use of finite difference operators
                 \\
                 4.71. Derivatives in terms of differences \\
                 4.72. Negative powers of ($U/\delta$) \\
                 4.73. $\delta^2 f$ in terms of $f''$ and its
                 differences \\
                 4.74. $\delta f_{1/2}$ symmetrically in terms of $f'$
                 and its differences at $x_0$ and $x_1$ \\
                 4.75. $\mu \delta f_0$ in terms of $f'$ and its
                 differences at $x = x_0$ \\
                 V: Interpolation \\
                 5.1. Linear and non-linear interpolation \\
                 5.11. Linear interpolation \\
                 5.2. Non-linear interpolation \\
                 5.21. Half-way interpolation \\
                 5.22. Newton's forward-difference formula \\
                 5.3. Some expansions \\
                 5.4. Everett's interpolation formula \\
                 5.41. Bessel's interpolation formula \\
                 5.42. Use of Bessel's and Everett's formulae \\
                 5.43. Practical details in non-linear interpolation \\
                 5.5. Lagrange's formula \\
                 5.51. Special interpolation methods for particular
                 functions \\
                 5.6. Subtabulation \\
                 5.61. End-figure method for subtabulation \\
                 5.7. Interpolation of a function given at unequal
                 intervals of the argument \\
                 5.71. Evaluation of Lagrange's interpolation formula by
                 a sequence of linear cross-means \\
                 5.72. Divided differences \\
                 5.8. Inverse interpolation \\
                 5.81. How not to do inverse interpolation \\
                 5.9. Truncation errors in interpolation formulae \\
                 5.91. Whittaker's cardinal function \\
                 VI: Integration (Quadrature) and Differentiation \\
                 6.1. Definite and indefinite integrals, and the
                 integration of differential equations \\
                 6.2. Integration formula in terms of integrand and its
                 differences \\
                 6.21. An alternative derivation \\
                 6.22. Integration formula in terms of the integrand and
                 the differences of its derivative \\
                 6.23. Integration formula in terms of the integrand and
a                 its derivatives (Euler-Maclaurin formula) \\
                 6.3. Integration over more than one interval \\
                 6.4. Evaluation of an integral as a function of its
                 upper limit \\
                 6.41. Change of interval length in an integration \\
                 6.42. Integration in the neighbourhood of a singularity
                 of the integrand \\
                 6.43. Integration when the integrand increases
                 'exponentially' \\
                 6.44. Two-fold integration \\
                 6.5. Integrals between fixed limits \\
                 6.51. Gregory's formula \\
                 6.52. Integral in terms of function values \\
                 6.53. Use of Simpson's or Weddle's rules \\
                 6.54. Integrations of functions for which $f(2n + 1)(x)
                 = 0$ at both ends of the range of integration \\
                 6.55. Evaluation of a definite integral when the
                 integrand has a singularity \\
                 6.56. Definite integrals which are functions of a
                 parameter \\
                 6.6. Use of unequal intervals of the independent
                 variables \\
                 6.61. Gaussian integration formulae \\
                 6.62. Gaussian formulae for $\inf_0^\infty e-{kxp2n +
                 1}(x)\,dx$ \\
                 6.7. Numerical differentiation \\
                 6.71. Differential formulae \\
                 6.72. Graphical differentiation \\
                 6.8. Errors of interpolation and integration formulae
                 \\
                 6.81. Use of formulae for the error \\
                 VII: Integration of Ordinary Differential Equations \\
                 7.1. Step-by-step methods \\
                 7.11. One-point and two-point boundary conditions \\
                 7.2. Second-order equation with first derivative absent
                 \\
                 7.21. Change of the interval of integration \\
                 7.22. Variants of the method \\
                 7.23. Numerov's method \\
                 7.3. First-order differential equations \\
                 7.31. Another method for a first-order equation \\
                 7.32. First-order linear equations \\
                 7.33. Second-order equation with the first derivative
                 present \\
                 7.34. Equations of order higher than the second \\
                 7.4. Taylor series method \\
                 7.5. Other procedures \\
                 7.51. Richardson's 'deferred approach to the limit' \\
                 7.52. Iterative processes \\
                 7.53. The Madelung transformation \\
                 7.54. The Riccati transformation \\
                 7.6. Two-point boundary conditions \\
                 7.61. Iterative quadrature \\
                 7.62. Linear equations with two-point boundary
                 conditions \\
                 7.63. Factorization method \\
                 7.64. Characteristic value problems \\
                 VIII: Simultaneous Linear Algebraic Equations and
                 Matrices \\
                 8.1. Direct and indirect methods for simultaneous
                 linear equations \\
                 8.11. Matrices \\
                 8.12. Ill-conditioned equations \\
                 8.13. Normal equations \\
                 8.2. Elimination \\
                 8.21. General elimination process \\
                 8.22. Evaluation of a solution by elimination \\
                 8.23. Alternative arrangement of the elimination
                 process \\
                 8.3. Inverse of a matrix by elimination \\
                 8.4. Choleski's method \\
                 8.41. Inverse of a matrix by Choleski's method \\
                 8.5. Relaxation method \\
                 8.51. Group relaxations \\
                 8.52. Use and limitations of the relaxation method \\
                 8.6. Linear differential equations and linear
                 simultaneous equations \\
                 8.7. Characteristic values and vectors of a matrix \\
                 8.71. Iterative method for evaluation of characteristic
                 values and characteristic vectors of a symmetrical
                 matrix \\
                 8.72. Richardson's purification process for
                 characteristic vectors \\
                 8.73. Relaxation process for characteristic vectors \\
                 IX: Non-Linear Algebraic Equations \\
                 9.1. Solution of algebraic equations \\
                 9.2. Graphical methods \\
                 9.3. Iterative processes \\
                 9.31. Examples of iterative processes \\
                 9.32. Derivation of a second-order process from a
                 first-order process \\
                 9.4. Multiple roots and neighbouring roots \\
                 9.5. Special processes for special types of equations
                 \\
                 9.51. Quadratic equations \\
                 9.52. Cubic and quartic equations \\
                 9.53. Polynomial equations \\
                 9.54. Repeated roots \\
                 9.55. Division of a polynomial by a quadratic \\
                 9.56. Real quadratic factors of a polynomial \\
                 9.57. Second-order process for improving the
                 approximation to a quadratic factor \\
                 9.6. Simultaneous non-linear equations \\
                 9.7. Three or more variables \\
                 X: Functions of Two or More Variables \\
                 10.1. Functions of a complex variable and functions of
                 two variables \\
                 10.11. Numerical calculations with complex numbers \\
                 10.2. Finite differences in two dimensions; square grid
                 \\
                 10.3. The operator $\partial^2 /\partial x^2 +
                 \partial^2/\partial y^2$ \\
                 10.31. Special relations when $\partial^2 f / \partial
                 x^2 + \partial^2 f / \partial y^2 = 0$ \\
                 10.4. Finite differences in cylindrical coordinates \\
                 10.5. Partial differential equations \\
                 10.6. Elliptic equations \\
                 10.61. Relaxation process \\
                 10.62. Reducing the mesh size \\
                 10.63. Further notes on the relaxation process \\
                 10.64. Richardson-Liebmann process for Laplace's
                 equation \\
                 10.7. Parabolic equations \\
                 10.71. Replacement of the second-order (space)
                 derivative by a finite difference \\
                 10.72. Replacement of the first-order (time) derivative
                 by a finite difference \\
                 10.73. Replacement of both derivatives by finite
                 differences \\
                 10.74. Note on methods for parabolic equations \\
                 10.8. Hyperbolic equations. Characteristics \\
                 10.81. Finite differences between characteristics \\
                 10.82. Use of given intervals in one independent
                 variable \\
                 10.83. Two simultaneous first-order equations \\
                 XI: Miscellaneous Processes \\
                 11.1. Summation of series \\
                 11.11. Euler's transformation for a slowly converging
                 series of terms of alternate signs \\
                 11.12. Use of the Euler-Maclaurin integration formula
                 in the summation of series \\
                 11.2. Harmonic analysis \\
                 11.3. Recurrence relations for a sequence of functions
                 \\
                 11.4. Smoothing \\
                 11.41. Automatic methods of smoothing \\
                 11.42. Smoothing by use of an auxiliary function \\
                 XII: Organization of Calculations for an Automatic
                 Machine \\
                 12.1. Automatic digital calculating machines \\
                 12.2. Preparation of calculations for an automatic
                 digital calculating machine \\
                 12.3. Hand and automatic calculation \\
                 Examples \\
                 Bibliography \\
                 Index",
  ZBmath =       "3134590",
}

@Misc{Hartree:1958:NTP,
  author =       "D. R. Hartree",
  title =        "Numerical treatment of partial differential
                 equations",
  howpublished = "UK National Archives papers",
  pages =        "34",
  year =         "1958",
  bibdate =      "Wed Aug 09 12:01:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference: CSAC 45.9.76/15",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/2f43117f-3d13-4825-a729-246c842cbe93",
  abstract =     "Notes for a course of lectures to be given in the
                 University of Cambridge. These were received from
                 Professor M. V. Wilkes whose explanatory note of 2
                 August 1976 is attached. It runs: 'In the Lent Term
                 1958, Hartree told me that he was about to go into the
                 Evelyn Nursing Home. He expected to be out in time to
                 give a course of lectures on P.D.E.s that he had
                 announced for the second half of the term, but that he
                 would, as a precaution, like to give me his notes so
                 that I could deputise for him if necessary.\par

                 Hartree collapsed in the street on his way to the
                 Nursing Home and was taken to Addenbrooke's Hospital
                 where he died'",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartree:1958:RET,
  author =       "D. R. Hartree",
  title =        "Representation of the exchange terms in {Fock}'s
                 equations by a quasi-potential",
  journal =      j-PHYS-REV,
  volume =       "109",
  number =       "3",
  pages =        "840--841",
  month =        feb,
  year =         "1958",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.109.840",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.109.840;
                 https://ui.adsabs.harvard.edu/abs/1958PhRv..109..840H",
  ZMnumber =     "0079.43902",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  ZBmath =       "3130958",
}

@Article{Hartree:1958:VAW,
  author =       "D. R. Hartree",
  title =        "Variation of Atomic Wave Functions with Atomic
                 Number",
  journal =      j-REV-MOD-PHYS,
  volume =       "30",
  number =       "1",
  pages =        "63--68",
  month =        jan,
  year =         "1958",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.30.63",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  MRclass =      "81.0X",
  MRnumber =     "92626",
  bibdate =      "Tue May 22 16:36:46 MDT 2012",
  bibsource =    "http://rmp.aps.org/toc/RMP/v30/i1;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/revmodphys1950.bib",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.30.63;
                 http://rmp.aps.org/abstract/RMP/v30/i1/p63_1;
                 https://ui.adsabs.harvard.edu/abs/1958RvMP...30...63H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
}

@Article{Hartree:1960:RCD,
  author =       "D. R. Hartree",
  title =        "The radial charge densities for the {Ti$^{+2}$} argon
                 core",
  journal =      j-PROC-CAMBRIDGE-PHIL-SOC,
  volume =       "56",
  number =       "2",
  pages =        "174--175",
  month =        apr,
  year =         "1960",
  CODEN =        "PCPSA4",
  DOI =          "https://doi.org/10.1017/S0305004100034411",
  ISSN =         "0008-1981",
  ISSN-L =       "0008-1981",
  bibdate =      "Thu Aug 03 17:31:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1960PCPS...56..174H",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  fjournal =     "Proceedings of the Cambridge Philosophical Society.
                 Mathematical and physical sciences",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  remark =       "Published posthumously.",
}

@Book{Hartree:1984:CMRa,
  author =       "D. R. Hartree",
  title =        "Calculating Machines: {Recent} and Prospective
                 Developments and Their Impact on Mathematical Physics,
                 {\rm and} Calculating Instruments and Machines",
  volume =       "6",
  publisher =    pub-MIT,
  address =      pub-MIT:adr,
  pages =        "xvi + 40; viii + 138 + 3",
  year =         "1984",
  ISBN =         "0-262-08147-4",
  ISBN-13 =      "978-0-262-08147-4",
  LCCN =         "QA85 .H3 1984; QA76.95; QA85 .H3 1984",
  bibdate =      "Sat Jan 12 22:42:35 MST 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/adabooks.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
                 library.mit.edu:9909/mit01;
                 library.ox.ac.uk:210/ADVANCE;
                 z3950.libris.kb.se:210/libr;
                 z3950.nls.uk:7290/voyager",
  note =         "With a new introduction by Maurice V. Wilkes. Reprint
                 (1st work). Originally published: Cambridge, England:
                 University Press, 1947. Reprint (2nd work). Originally
                 published: Urbana: University of Illinois Press,
                 1949.",
  series =       "Charles Babbage Institute Reprint Series for the
                 History of Computing",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  keywords =     "calculators; computers; mathematical instruments",
  mynote =       "Inaugural lecture dated 1947 (CUP) and book dated 1949
                 (Univ. Illinois Press).",
  remark =       "Calculating machines originally published: Cambridge:
                 Cambridge University Press, 1947. Calculating
                 instruments and machines originally published: Urbana
                 University of Illinois Press, 1949.",
  subject =      "Calculating machines; Computers; Mathematical
                 instruments",
  xxaddress =    "Los Angeles, CA, USA",
  xxpages =      "xvi + 138",
  xxpages =      "xvi + 40 + viii + 138 + [3]",
  xxpublisher =  "Tomash Publishers",
}

@Book{Hartree:1984:CMRb,
  author =       "Douglas R. Hartree",
  title =        "Calculating Machines: Recent and Prospective
                 Developments and Their Impact on Mathematical Physics,
                 and Calculating Instruments and Machines",
  volume =       "6",
  publisher =    "Tomash Publishers",
  address =      "Los Angeles, CA, USA",
  pages =        "xviii + 40 and x + 138",
  year =         "1984",
  ISBN =         "0-262-08147-4",
  ISBN-13 =      "978-0-262-08147-4",
  MRclass =      "01A75 (00A69)",
  MRnumber =     "824241",
  bibdate =      "Thu Aug 3 09:15:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reprint of the 1947 and 1949 originals, with an
                 introduction by Maurice V. Wilkes.",
  series =       "The Charles Babbage Institute Reprint Series for the
                 History of Computing",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRa,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: correspondence and papers",
  howpublished = "Christ's College Library archives, Cambridge
                 University, Cambridge, UK",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76 and NRA 20490 Hartree.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/1356458a-cf10-4e05-a140-b6e8c5a2f5c3;
                 https://discovery.nationalarchives.gov.uk/details/r/N13830852",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRb,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: working papers",
  howpublished = "University of Manchester Library, Manchester, UK",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference NRA 33014 NAHC.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRc,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: correspondence with {Niels Bohr}
                 (1928--1947)",
  howpublished = "Niels Bohr Archive, Blegdamsvej 17, Copenhagen,
                 Denmark, DK-2100",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference NRA 33014 NAHC.",
  URL =          "https://www.nbarchive.dk/",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRd,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: correspondence with {William Hume-Rothery}
                 (1932--1934)",
  howpublished = "Bodleian Library, Special Collections, Oxford
                 University, Oxford, UK",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference NRA 17174.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRe,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: correspondence with {Fritz London}
                 (1928--1936)",
  howpublished = "William R Perkins Library, Duke University, Manuscript
                 Department, Durham, NC 27706, USA",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://discovery.nationalarchives.gov.uk/details/a/A13531231",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:HDRf,
  author =       "D. R. Hartree",
  title =        "{Hartree, Douglas Rayner}, (1897--1958), mathematical
                 physicist: correspondence with {E. C. Stoner}
                 (1930--1958)",
  howpublished = "The Brotherton Library, University of Leeds, Woodhouse
                 Lane, Leeds, England LS2 9JT, UK",
  year =         "19xx",
  bibdate =      "Mon Aug 07 14:17:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "NRA 17735,",
  URL =          "https://discovery.nationalarchives.gov.uk/details/a/A13533122",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:ITC,
  author =       "D. R. Hartree",
  title =        "Introduction and typescript: {Chapters I--III} of
                 projected book on differential equations",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/9182e258-6bc7-4485-9657-6ef768b2ae91",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Chapter I: How differential equations arise in
                 scientific and technical problems \\
                 Chapter II: Introductory concepts \\
                 Chapter III: First-order linear equations",
}

@Misc{Hartree:19xx:IWM,
  author =       "D. R. Hartree",
  title =        "Introduction to Wave Mechanics",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:08:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Drafts of uncompleted book",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/0174f4cc-b660-4daa-80a8-708a6bcb186f",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Chapter 2: Particles and Waves \\
                 Chapter 6: Momentum and Moment of Momentum \\
                 Chapter 9: Many-particle systems \\
                 Chapter 13: Relativity and wave mechanics",
}

@Misc{Hartree:19xx:MBCa,
  author =       "D. R. Hartree and Bertha Swirles",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:14:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Extensively-revised manuscript and typescript drafts
                 for projected book on `Mechanics' in 2 vols.: `Statics'
                 and `Dynamics', to be written by Hartree in
                 collaboration with Dr. Bertha Swirles (now Lady
                 Jeffreys) and published by Cambridge University Press.
                 The book was not completed.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/43c821e9-17c3-4872-bb6d-1df97266619e",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Lady Bertha Swirles Jeffreys (22 May 1903--18
                 December 1999)",
}

@Misc{Hartree:19xx:MBCb,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/2. Chapter 2. Vectors.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/857825fa-cf2e-47c6-891f-dc934f2d0027",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCc,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:14:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/3. Chapter 3: Kinematics of a
                 Particle.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/97082ab8-a3f5-4086-b205-e3bfca5950f6",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCd,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/4. Chapter 4: Laws of Motion",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/2d18bfb0-81a9-4e69-9da6-ad1c4fd54a0a",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCe,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/5. Chapter 5: Special Cases of
                 rectilinear motion of a particle",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/dff8651f-b924-467c-8bac-afc18a321391",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCf,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/6. Chapter 6: Special Motions
                 of a Particle in Two Dimensions",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/06e21bd7-c533-4adf-8b7c-49e3a45de417",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCg,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/7. Chapter 8: Localised
                 Vectors, Moments, Vector Products",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/ed817b28-3a35-43ed-90b5-8f89e5691481",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCh,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/8. Chapter 9: Motion of a
                 System of Particles",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/a5c845b6-16ca-4148-87a1-47d9d1b9e7ca",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCi,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:05:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/9. Chapter 11: The Kinematics
                 of a Rigid Body in Two Dimensions. Later renumbered as
                 Chapters 12 and 13.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/db233d2c-f961-45cd-8366-9a6d79388310",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Hartree:19xx:MBCj,
  author =       "D. R. Hartree",
  title =        "Mechanics [book chapter draft]",
  howpublished = "UK National Archives papers",
  year =         "19xx",
  bibdate =      "Wed Aug 09 12:14:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference CSAC 45.9.76/10. Chapter 12: The Dynamics of
                 a Rigid Body in Two Dimensions",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/a8f6d59d-ed7d-419d-a2d8-b481b729379d",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Hartree:2012:CIM,
  author =       "Douglas R. Hartree",
  title =        "Calculating Instruments and Machines",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  year =         "2012",
  ISBN =         "1-107-63065-7 (paperback)",
  ISBN-13 =      "978-1-107-63065-9 (paperback)",
  MRclass =      "01A75, 68-03, 68Q05, 65-03",
  bibdate =      "Sat Aug 5 11:08:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reprint of \cite{Hartree:1950:CIM}.",
  URL =          "https://www.cambridge.org/us/universitypress/subjects/mathematics/historical-mathematical-texts/calculating-instruments-and-machines",
  ZMnumber =     "1250.01026",
  abstract =     "Originally published in 1950, this book was based on a
                 short series of lectures given by the author at the
                 University of Illinois in 1948. Aimed at the
                 non-specialist, the chief aim of the text was to
                 provide a general introduction to contemporary
                 developments in the field of calculating instruments
                 and machines. But there is some treatment of the
                 historical side of the subject, with appreciation shown
                 for the vision and foresight of key pioneers Charles
                 Babbage and Lord Kelvin. This is a concise and
                 informative volume that will be of value to anyone with
                 an interest in the development and history of
                 computation.",
  acknowledgement = ack-nhfb,
  author-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "1. Introduction \\
                 2. The differential analyser \\
                 3. The differential analyser and partial differential
                 equations \\
                 4. Some other instruments \\
                 5. Introduction to large automatic digital machines \\
                 6. Charles Babbage and the analytical engine \\
                 7. The first stage of development \\
                 8. Projects and prospects \\
                 9. High-speed automatic digital machines and numerical
                 analysis \\
                 References \\
                 Names index \\
                 Subject index",
  ZBmath =       "6093528",
}

%%% ====================================================================
%%%   Part 2 (of 3): Publications about Douglas Hartree and his works
%%%
%%% Entries that refer to Hartree or his works (a large number of
%%% articles with Hartree or Hartree--Fock in the title appear in the
%%% physics literature, and have mostly been ignored here).  However,
%%% entries up to about 1960 with Hartree in titles ARE included here,
%%% because they laid the groundwork for the understanding of his
%%% methods.  From roughly that time, electronic computers became
%%% available to scientists, and the count of publications crediting
%%% Hartree increased dramatically.
%%%
%%% Several of the entries here that do not mention Hartree in their
%%% titles were returned by the Royal Society journal Web site in a
%%% search for ``Douglas Rayner Hartree''.
@PhdThesis{Lindsay:1924:AMAa,
  author =       "Robert Bruce Lindsay",
  title =        "On the Atomic Models of the Alkali-metals",
  type =         "{Ph.D.} thesis",
  school =       "Massachusetts Institute of Technology",
  address =      "Cambridge, MA, USA",
  year =         "1924",
  bibdate =      "Wed Sep 06 14:50:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301789148",
  acknowledgement = ack-nhfb,
  advisor =      "H. B. Phillips",
  remark =       "No electronic copy is available, and ProQuest is
                 missing metadata for advisor, day, department, month,
                 and page count. The advisor is thanked in the last
                 three lines of \cite{Lindsay:1924:AMAb}. The MIT
                 Library catalog is not accessible to non-MIT members.",
}

@Article{Lindsay:1924:AMAb,
  author =       "Robert Bruce Lindsay",
  title =        "On the Atomic Models of the Alkali Metals",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "3",
  number =       "4",
  pages =        "191--236",
  month =        may,
  year =         "1924",
  CODEN =        "JMPHA9",
  DOI =          "https://doi.org/10.1002/sapm192434191",
  ISSN =         "0097-1421",
  ISSN-L =       "0097-1421",
  bibdate =      "Sat Aug 19 13:35:42 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
  URL =          "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm192434191",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Phys. (MIT)",
  fjournal =     "Journal of Mathematics and Physics (MIT)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
  onlinedate =   "May 1924",
  remark-1 =     "From the title footnote: ``This memoir was submitted
                 in partial fulfillment of the requirement for the
                 degree of Doctor of Philosophy from the Massachusetts
                 Institute of Technology in April, 1924.''",
  remark-2 =     "This thesis is believed to be the origin of the idea
                 of a ``self-consistent field'' method of computation in
                 quantum theory, so successfully exploited by Douglas
                 Rayner Hartree (27 March 1897--12 February 1958) and in
                 tens of thousands of reports, journal articles, and
                 books since the 1920s.",
  remark-3 =     "The journal articles carries no mention of received
                 and accepted dates. However, this paper appeared 4
                 years BEFORE Douglas Hartree's visit to Copenhagen
                 where Hartree proposed the idea of a ``self-consistent
                 field''. This paper has four mentions of Hartree, with
                 literature references to entries Hartree:1923:CNU and
                 Hartree:1923:ASR. It is not yet clear whether Lindsay
                 initiated contact with Hartree before the latter's 1928
                 visit to Copenhagen.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Introduction / 191 \\
                 I. Method of Calculation / 197 \\
                 II. The Lithium Atom / 207 \\
                 III. The Sodium Atom / 208 \\
                 IV. The Potassium Atom / 212 \\
                 V. The Rubidium Atom / 215 \\
                 VI. The Caesium Atom / 218 \\
                 VII. Summary of Sections I--VI with Discussion of
                 Results / 221 \\
                 VIII. Diagrams of the Orbits / 230 \\
                 IX. Fixed Phase Relations in the Sodium Atom / 232 \\
                 X. The Polarization Effect in Lithium and Sodium / 236
                 \\
                 Acknowledgments / 236",
}

@Article{Lindsay:1924:U,
  author =       "Robert Bruce Lindsay",
  title =        "[unknown]",
  journal =      "Publications of the Massachusetts Institute of
                 Technology",
  volume =       "II",
  number =       "??",
  pages =        "20--??",
  year =         "1924",
  bibdate =      "Sat Aug 12 05:53:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Possibly republished in \cite{Anonymous:2022:PMI}.",
  URL =          "https://en.wikipedia.org/wiki/Robert_Bruce_Lindsay",
  acknowledgement = ack-nhfb,
  remark =       "In this paper, Lindsay introduced the idea of a
                 self-consistent field (SCF). He and his wife Rachel
                 spent 1922--1923 at the Bohr Institute in Copenhagen,
                 and while there, they translated the Bohr theory book
                 by Kramer and Holst from Danish to English (see entry
                 Kramers:1923:ABT in bohr-niels.bib). Hartree later
                 collaborated with Lindsay at Brown University in
                 Providence, RI (see \cite[pp. viii,
                 29--31]{FroeseFischer:2003:DRH}). Lindsay's SCF idea
                 may have been Bohr Institute folklore that Hartree
                 first learned of during his time there six years later,
                 in 1928--1929.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Swirles:1926:PAC,
  author =       "Bertha Swirles",
  title =        "The Polarisabilities of Atomic Cores",
  journal =      j-MATH-PROC-CAMB-PHILOS-SOC,
  volume =       "23",
  number =       "4",
  pages =        "403--411",
  month =        oct,
  year =         "1926",
  CODEN =        "MPCPCO",
  DOI =          "https://doi.org/10.1017/s030500410001522x",
  ISSN =         "0305-0041 (print), 1469-8064 (electronic)",
  ISSN-L =       "0305-0041",
  bibdate =      "Thu Aug 17 12:55:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  fjournal =     "Mathematical Proceedings of the Cambridge
                 Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "26 July 1926",
  received =     "1 July 1926",
  remark-1 =     "See \cite{SwirlesJeffreys:1987:DRH} for the background
                 of this work, which formed forms part of her doctoral
                 dissertation \cite{Swirles:1928:SAT}.",
  remark-2 =     "From the conclusion: ``In conclusion, I wish to
                 express my thanks to Mr R. H. Fowler and Mr D. R.
                 Hartree for their help and criticism during the course
                 of this work, and to the Board of Scientific and
                 Industrial Research for a grant which enabled me to
                 pursue this course of research.''",
  remark-3 =     "Related research is reported in entry Unsold:1926:TSG,
                 which was submitted six months before this paper, but
                 neither was then aware of the other's work.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Unsold:1926:TSG,
  author =       "Albrecht Uns{\"o}ld",
  title =        "{{\"U}ber die Termgro{\ss} en der Serienspektren}.
                 ({German}) [{On} the term sizes of the series
                 spectra]",
  journal =      j-Z-PHYSIK,
  volume =       "36",
  number =       "2",
  pages =        "92--100",
  month =        feb,
  year =         "1926",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/bf01380126",
  ISSN =         "0044-3328",
  bibdate =      "Thu Aug 17 13:05:06 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://link.springer.com/article/10.1007/BF01380126",
  abstract =     "Die Quantendefekte der nicht eindringenden Bahnen
                 werden f{\"u}r die Elemente der drei ersten Spalten des
                 periodischen Systems auf Grund der Vorstellung
                 berechnet, da{\ss} das Leuchtelektron im Atomrumpf
                 einen Dipol induziert. Die Polarisierbarkeit der
                 Atomr{\"u}mpfe wird nach der klassisehen
                 Dispersionstheorie berechnet; als Anzahl der
                 Dispersionselektronen wird angenommen: 1 bei den
                 Erdalkalien, 2 bei den Erden und 6 bei den Alkalien.",
  abstract-en =  "The quantum defects of the nonpenetrating orbits are
                 calculated for the elements of the first three columns
                 of the periodic table based on the idea that the
                 luminous electron induces a dipole in the atomic core.
                 The polarizability of the atomic cores is calculated
                 according to the classic theory of dispersion; the
                 number of dispersion electrons is assumed to be: 1 for
                 the alkaline earths, 2 for the earths and 6 for the
                 alkalis.",
  acknowledgement = ack-nhfb,
  author-dates = "Albrecht Otto Johannes Uns{\"o}ld (20 April 1905--23
                 September 1995)",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
  received =     "13 January 1926",
  remark =       "Related research is reported in entry
                 Swirles:1926:PAC, which was submitted six months after
                 this paper, but neither was then aware of the other's
                 work. Uns{\"o}ld has references on page 95 to two works
                 by Ralph Howard Fowler in 1922 and 1925, but no mention
                 of Douglas Hartree.",
}

@Article{Fowler:1927:BRM,
  author =       "Ralph H. Fowler",
  title =        "Book Review: {{\booktitle{The Mechanics of the Atom}},
                 by Max Born. Translated by J. W. Fisher, and revised by
                 D. R. Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "13",
  number =       "190",
  pages =        "428--429",
  month =        oct,
  year =         "1927",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.1017/S0025557200134059",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Mon Oct 17 13:47:50 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/pdfplus/3602769.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Fowler:1927:RMA,
  author =       "Ralph H. Fowler",
  title =        "Review of {{\booktitle{The Mechanics of the Atom}}, by
                 Max Born, J. W. Fisher, and D. R. Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "13",
  number =       "190",
  pages =        "428--429",
  month =        oct,
  year =         "1927",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3602769",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "Max Born and J. W. Fisher and D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Flint:1928:RMA,
  author =       "H. T. Flint",
  title =        "Review of {{\booktitle{The Mechanics of the Atom}}, by
                 M. Born, J. W. Fisher, and D. R. Hartree}",
  journal =      "Science Progress in the Twentieth Century
                 (1919--1933)",
  volume =       "22",
  number =       "87",
  pages =        "524--524",
  month =        jan,
  year =         "1928",
  CODEN =        "????",
  ISSN =         "2059-4941 (print), 2059-9897 (electronic)",
  ISSN-L =       "2059-4941",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/43432721",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.jstor.org/journal/scienceprogtwenc",
  remark =       "Journal published in London, UK from volume 14, number
                 53 (1919) to volume 27, number 108 (1933).",
  reviewed-author = "Max Born and J. W. Fisher and D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Gaunt:1928:THA,
  author =       "J. A. (John Arthur) Gaunt",
  title =        "A Theory of {Hartree}'s Atomic Fields",
  journal =      j-MATH-PROC-CAMB-PHILOS-SOC,
  volume =       "24",
  number =       "2",
  pages =        "328--342",
  month =        apr,
  year =         "1928",
  CODEN =        "MPCPCO",
  DOI =          "https://doi.org/10.1017/s0305004100015851",
  ISSN =         "0305-0041 (print), 1469-8064 (electronic)",
  ISSN-L =       "0305-0041",
  bibdate =      "Fri Aug 11 17:29:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "In a recent communication to this Society Dr Hartree
                 has put forward a method for calculating the field of
                 anatom containing many electrons. Each orbit --- to
                 borrow a metaphor from the old quantum theory --- is
                 related to a wave-function $ \Psi $ which obeys
                 Schr{\"o}dinger's equation. The potential energy used
                 in this equation is due partly to the field of the
                 nucleus, and partly to the fields of the electrons in
                 the other orbits. The latter are calculated upon
                 Schr{\"o}dinger's interpretation of the wave-function,
                 that $ | \Psi |^2 $ is the density of charge, measured
                 in electronic charges per unit volume. It is not the
                 purpose of this paper to discuss the practical methods
                 of obtaining wave-functions which reproduce the fields
                 from which they are derived; but to relate these
                 wave-functions and their energy parameters to those of
                 the accepted theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Proceedings of the Cambridge
                 Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  read =         "27 February 1928",
  received =     "20 February 1928",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Swirles:1928:SAT,
  author =       "Bertha Swirles",
  title =        "Some Applications of the Theory of Perturbations in
                 the Quantum Mechanics",
  type =         "{Ph.D.} dissertation",
  school =       "Faculty of Mathematics, University of Cambridge",
  address =      "Cambridge, UK",
  pages =        "????",
  year =         "1928",
  bibdate =      "Thu Aug 17 10:34:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/1779976109",
  acknowledgement = ack-nhfb,
  advisor =      "Ralph Howard Fowler",
  author-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  remark-1 =     "No online copy found at Cambridge, or in ProQuest
                 Dissertations and Theses Global. No page count is
                 recorded in the Cambridge iDiscover or Library Hub
                 Discover catalogs. Card catalog entry 22 November
                 1928.",
  remark-2 =     "Advisor confirmed from page 190 of entry
                 SwirlesJeffreys:1987:DRH.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dirac:1929:QMM,
  author =       "P. A. M. Dirac",
  title =        "Quantum mechanics of many electron systems",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "123",
  number =       "792",
  pages =        "714--733",
  day =          "6",
  month =        apr,
  year =         "1929",
  CODEN =        "PRLAAZ",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Mon May 16 05:58:31 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 Zentralblatt Math database",
  note =         "Russian translation in \cite[Vol. II, pp.
                 213ff]{Dirac:2003:SNT}.",
  URL =          "http://www.jstor.org/stable/95222",
  ZMnumber =     "55.0528.04",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and Physical Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  received =     "12 March 1929",
  remark =       "Parts of the first paragraph of this paper have been
                 famously quoted by several others: ``The general theory
                 of quantum mechanics is now almost complete, the
                 imperfections that still remain being in connection
                 with the exact fitting in of the theory with relativity
                 ideas. \ldots{} The underlying physical laws necessary
                 for the mathematical theory of a large part of physics
                 and the whole of chemistry are thus completely known,
                 and the difficulty is only that the exact application
                 of these laws leads to equations much too complicated
                 to be soluble. It therefore becomes desirable that
                 approximate practical methods of applying quantum
                 mechanics should be developed, which can lead to an
                 explanation of the main features of complex atomic
                 systems without too much computation.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Gaunt:1929:ITH,
  author =       "J. A. (John Arthur) Gaunt",
  title =        "{IV}. {The} triplets of helium",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-A-CONTAIN-PAP-MATH-PHYS-CHARACTER,
  volume =       "228",
  number =       "659-669",
  pages =        "151--196",
  month =        jan,
  year =         "1929",
  DOI =          "https://doi.org/10.1098/rsta.1929.0004",
  ISSN =         "0264-3952 (print), 2053-9258 (electronic)",
  bibdate =      "Thu Aug 17 06:49:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/3-j_symbol;
                 https://royalsocietypublishing.org/doi/epdf/10.1098/rsta.1929.0004",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Containing Papers of a Mathematical
                 or Physical Character",
  journal-URL =  "https://royalsocietypublishing.org/loi/rsta",
  remark =       "Page 195 of this paper introduces the famous ``Gaunt
                 coefficients'', integrals of products of three Legendre
                 functions. See \cite[pp. 175ff]{Tinkham:1964:GTQ}",
}

@Article{Slater:1929:TCS,
  author =       "J. C. Slater",
  title =        "The Theory of Complex Spectra",
  journal =      j-PHYS-REV-2,
  volume =       "34",
  number =       "10",
  pages =        "1293--1322",
  day =          "15",
  month =        nov,
  year =         "1929",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.34.1293",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sun Jul 1 11:06:16 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  URL =          "http://prola.aps.org/abstract/PR/v34/i10/p1293_1",
  acknowledgement = ack-nhfb,
  author-dates = "John Clarke Slater (1900--1976)",
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  received =     "7 June 1929",
  remark =       "This paper introduces the famous `Slater
                 determinants', which Slater always called
                 `determinantal wavefunctions', for introducing an easy
                 way to ensure antisymmetry of fermion wavefunctions. On
                 page 1294, Slater writes ``The process of building up
                 wave functions of the proper symmetry by using
                 determinants is not new; it is found in Dirac's earlier
                 papers, and has been used, for example, by Wailer and
                 Hartree. The spin function, however, is introduced into
                 the determinant in the present paper in a new and more
                 satisfactory way. The results which we obtain,
                 concerning the diagonal term of the energy with respect
                 to the antisymmetric wave functions, are of the sort
                 found by the group theory, and also by the recent
                 method of Dirac, but it seems worth while to derive
                 them in a simple fashion.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Fock:1930:NLQ,
  author =       "Vladimir Fock",
  title =        "{N{\"a}herungsmethode zur L{\"o}sung des
                 quantenmechanischen Mehrk{\"o}rperproblems}. ({German})
                 [{Approximate} method for solving the quantum
                 mechanical many-body problem]",
  journal =      j-Z-PHYSIK,
  volume =       "61",
  number =       "1--2",
  pages =        "126--148",
  month =        jan,
  year =         "1930",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/bf01340294",
  ISSN =         "0044-3328",
  bibdate =      "Tue Aug 8 06:27:51 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Presented at the Russian Physico-Chemical Society on
                 17 December 1929. This paper introduces determinantal
                 wavefunctions to guarantee correct symmetry under
                 particle exchange.",
  abstract =     "Das Variationsprinzip $ \int \delta \bar \Psi (L - E)
                 \Psi \, d \tau = 0 $ ($L$ = Energieoperator) liefert
                 bekanntlich die Wellengleichung im Konfigurationsraum.
                 Es wird gezeigt, da{\ss} der Ansatz $ \Psi = \psi_1
                 (x_1) \psi_2 (x_2) \ldots {} \psi_N(x_N)$ ($N$ = Anzahl
                 der Elektronen) zu den Gleichungen der Hartreeschen
                 Theorie des ,,selfconsistent field'' f{\"u}hrt, Dieser
                 Ansatz hat aber nicht die richtige Symmetrie. In dem
                 wichtigen Spezialfall der ,,v{\"o}lligen Entartung des
                 Termsystems'' kann aber $ \Psi $ durch ein Produkt
                 zweier Determinanten [Formel (50) des Textes]
                 approximiert werden. Die entsprechende Rechnung wird
                 durchgef{\"u}hrt. Die Gleichungen, die sich f{\"u}r $
                 \psi_i(x)$ ergeben, enthalten ,,Austauschglieder'' und
                 k{\"o}nnen als Eulersche Gleichungen eines
                 dreidimensionalen Variationsproblems mit der Energie
                 als Wirkungsintegral [Formel (93)] aufgefa{\ss}t
                 werden. Die Gleichungen sind nicht wesentlich
                 komplizierter als die von Hartree, d{\"u}rften aber
                 viel genauere Resultate ergeben. Zum Schlu{\ss} wird
                 eine Formel f{\"u}r die Intensit{\"a}ten angegeben, die
                 Glieder enth{\"a}lt, welche einer ,,Umgruppierung'' der
                 inneren Elektronen bei einem Quantensprung
                 entsprechen.",
  abstract-en =  "As is well known, the variational principle $ \int
                 \delta \bar \Psi (L - E) \Psi \, d \tau = 0 $ ($L$ =
                 energy operator) delivers the wave equation in the
                 configuration space. It is shown that the approach $
                 \Psi = \psi_1 (x_1) \psi_2 (x_2) \ldots {} \psi_N(x_N)$
                 ($N$ = number of electrons) to the equations of
                 Hartree's theory of ``self-consistent field'', but this
                 approach does not have the right symmetry. In the
                 important special case of the complete degeneracy of
                 the term system, however, $ \Psi $ can be approximated
                 by a product of two determinants [formula (50) of the
                 text]. The corresponding calculation is carried out.
                 The equations that result for $ \psi_i(x)$ contain
                 ``exchange terms'' and can be interpreted as Euler's
                 equations of a three-dimensional variational problem
                 with the energy as an action integral [formula (93)].
                 The equations aren't much more complicated than
                 Hartree's, but should give much more accurate results.
                 Finally, a formula for the intensities is given that
                 contains terms that correspond to a ``regrouping'' of
                 the inner electrons in a quantum jump.",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
  received =     "21 February 1930",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Fock:1930:SFA,
  author =       "V. Fock",
  title =        "{,,Selfconsistent field'' mit Austausch f{\"u}r
                 Natrium}. ({German}) [''{Selfconsistent} field'' with
                 substitution for sodium]",
  journal =      j-Z-PHYSIK,
  volume =       "62",
  number =       "11--12",
  pages =        "795--805",
  month =        nov,
  year =         "1930",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/bf01330439",
  ISSN =         "0044-3328",
  bibdate =      "Thu Aug 17 11:01:18 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://doi.org/10.1007/bf01330439",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
  received =     "1 May 1930",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Slater:1930:NHM,
  author =       "J. C. Slater",
  title =        "Note on {Hartree}'s Method",
  journal =      j-PHYS-REV-2,
  volume =       "35",
  number =       "2",
  pages =        "210--211",
  day =          "15",
  month =        jan,
  year =         "1930",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.35.210.2",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sun Jul 1 11:06:16 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  URL =          "http://prola.aps.org/abstract/PR/v35/i2/p210_2",
  acknowledgement = ack-nhfb,
  author-dates = "John Clarke Slater (1900--1976)",
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  received =     "19 December 1929",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Bush:1931:DAN,
  author =       "Vannevar Bush",
  title =        "The differential analyzer. {A} new machine for solving
                 differential equations",
  journal =      j-J-FRANKLIN-INST,
  volume =       "212",
  number =       "4",
  pages =        "447--488",
  month =        jul # "\slash " # dec,
  year =         "1931",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/S0016-0032(31)90616-9",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  bibdate =      "Wed Aug 16 11:24:37 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.sciencedirect.com/science/article/abs/pii/S0016003231906169",
  acknowledgement = ack-nhfb,
  author-dates = "Vannevar Bush (11 March 1890--28 June 1974)",
  fjournal =     "Journal of {The Franklin Institute}",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
}

@Article{Inglis:1931:ERC,
  author =       "David R. Inglis",
  title =        "Energy Relations in Complex Spectra",
  journal =      j-PHYS-REV,
  volume =       "38",
  number =       "5",
  pages =        "862--872",
  day =          "1",
  month =        sep,
  year =         "1931",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/physrev.38.862",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Aug 17 07:11:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.38.862",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  remark =       "See
                 \cite{Swirles:1935:RSC,SwirlesJeffreys:1987:DRH}.",
}

@Article{Tamm:1932:AEM,
  author =       "Ig. (Igor Yevgenyevich) Tamm and D. Blochinzev",
  title =        "{{\"U}ber die Austrittsarbeit der Elektronen aus
                 Metallen}. ({German}) [{On} the work function of
                 electrons from metals]",
  journal =      j-Z-PHYSIK,
  volume =       "77",
  number =       "11--12",
  pages =        "774--777",
  month =        nov,
  year =         "1932",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/bf01342154",
  ISSN =         "0044-3328",
  bibdate =      "Sat Aug 12 07:51:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "This paper is claimed \cite[p. 6]{Martinez:2016:HFM}
                 to be the first to contain the term ``Hartree--Fock
                 method''. (``Hartree--Focksche Verfahren'' in the
                 original German).",
  abstract =     "Sieht man von der atomistischen Struktur der Metalle
                 ab und benutzt man das Hartree--Focksche Verfahren des
                 ,,,selfconsisted field'', so gelangt man bei der
                 Berechnung der Austrittsarbeit $ \chi $ in erster
                 N{\"a}herung, zu demselben Ergebnis wie nach dem
                 Fermi--Thomasschen Verfahren, n{\"a}mlich da{\ss} die
                 Potential-schwelle an der Metalloberfl{\"a}che gleich
                 der Nullpunktsenergie der Elektronen und da{\ss} somit
                 $ \chi $ gleich Null ist. Berechnet man dagegen nach
                 derselben Methode die Arbeit, die durch die
                 Bildkr{\"a}fte bei der Entfernung eines Elektrons aus
                 dem Metall geleistet wird, so erh{\"a}lt man Werte von
                 $ \chi $, die in einer befriedigenden
                 {\"U}bereinstimmung mit der Erfahrung stehen.",
  abstract-en =  "If one disregards the atomistic structure of the
                 metals and if one uses the Hartree--Fock method of the
                 ''selfconsisted field'', one arrives at first
                 approximation at the calculation of the work function $
                 \chi $ at the same result as after the Fermi--Thomas
                 method, namely that the potential barrier at the metal
                 surface is equal to the zero-point energy of the
                 electrons and that $ \chi $ is therefore zero. On the
                 other hand, if one calculates the work done by the
                 image forces in removing an electron from the metal
                 using the same method, one obtains values of $ \chi $
                 that are in satisfactory agreement with experience.",
  acknowledgement = ack-nhfb,
  author-dates = "Igor Yevgenyevich Tamm (8 July 1895--12 April 1971)",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  onlinedate =   "German",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Cornish:1933:FWT,
  author =       "R. J. Cornish",
  title =        "Flow of water through fine clearances with relative
                 motion of the boundaries",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS,
  volume =       "140",
  number =       "840",
  pages =        "227--240",
  month =        apr,
  year =         "1933",
  DOI =          "https://doi.org/10.1098/rspa.1933.0065",
  ISSN =         "0950-1207 (print), 2053-9150 (electronic)",
  ISSN-L =       "0950-1207",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Containing Papers of a Mathematical and Physical
                 Character",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Anonymous:1934:CMS,
  author =       "Anonymous",
  title =        "Calculating Machine for Simultaneous Equations",
  journal =      j-NATURE,
  volume =       "134",
  number =       "3397",
  pages =        "877--877",
  day =          "8",
  month =        dec,
  year =         "1934",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/134877c0",
  DOI =          "https://www.nature.com/articles/134877c0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Tue Sep 5 14:05:24 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "Brief (1/4 column) discussion of the Bush (MIT) and
                 Hartree (Manchester) differential analyzers. The
                 article reports: ``A larger model, containing nearly
                 1,000 pulleys and more than 500 feet of steel tape, has
                 been designed, but is not yet constructed. This will
                 deal with ten variables connected by ten equations,
                 \ldots{}.''",
}

@Article{Anonymous:1935:DAU,
  author =       "Anonymous",
  title =        "Differential Analyser for the {University of
                 Manchester}",
  journal =      j-NATURE,
  volume =       "135",
  number =       "3414",
  pages =        "535--535",
  day =          "6",
  month =        apr,
  year =         "1935",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/135535b0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Tue Sep 5 11:47:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Bethe:1935:QTD,
  author =       "H. Bethe and R. Peierls",
  title =        "Quantum theory of the diplon",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "148",
  number =       "863",
  pages =        "146--156",
  month =        jan,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0010",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Bethe:1935:SNP,
  author =       "Hans Albrecht Bethe and R. Peierls",
  title =        "The scattering of neutrons by protons",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "149",
  number =       "866",
  pages =        "176--183",
  month =        mar,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0055",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Jackson:1935:EEB,
  author =       "J. M. Jackson and A. Howarth",
  title =        "Exchange of energy between diatomic gas molecules and
                 a solid surface",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "152",
  number =       "877",
  pages =        "515--529",
  month =        nov,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0206",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Swirles:1935:RSC,
  author =       "Bertha Swirles",
  title =        "The relativistic self-consistent field",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "152",
  number =       "877",
  pages =        "625--649",
  month =        nov,
  year =         "1935",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1935.0211",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See \cite[p. 143]{Hartree:1947:CAS} for corrections
                 and additions.",
  acknowledgement = ack-nhfb,
  author-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  remark-1 =     "This paper has been credited with being the first work
                 on relativistic effects in self-consistent field
                 computations. However, \cite[p. 528]{Simoes:2000:QCG}
                 says that in a 17 March 1939 from Douglas Hartree to
                 Robert Bruce Lindsay, Hartree felt that such credit
                 should instead go to a Lindsay student surnamed
                 Williams. However, no reference to that work is
                 supplied, and the paper, or papers, describing that
                 work are yet to be identified. Page 129 of entry
                 Lindsay:1985:IARb identifies the student as Arthur O.
                 Williams, Jr., with work on the copper atoms, and says
                 that Williams' work was the second on the relativistic
                 SCF, and described it in a Ph.D. thesis written under
                 Lindsay's direction. See entries Williams:1937:RSC,
                 Williams:1940:RSC, and Grant:1961:RSC.",
  remark-2 =     "Entry SwirlesJeffreys:1987:DRH reports that certain
                 coefficients laboriously derived in this paper had
                 already been worked out in Inglis:1931:ERC, but that
                 work was then unknown to her.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Bush:1936:IA,
  author =       "Vannevar Bush",
  title =        "Instrumental analysis",
  journal =      j-BULL-AMS,
  volume =       "42",
  number =       "10",
  pages =        "649--669",
  month =        oct,
  year =         "1936",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0002-9904-1936-06390-1",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Thu Nov 02 05:29:36 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.ams.org/journals/bull/1936-42-10/S0002-9904-1936-06390-1/",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  keywords =     "differential analyzer",
  remark =       "This is the twelfth Josiah Willard Gibbs Lecture,
                 delivered at St. Louis, January 2, 1936, under the
                 auspices of the American Mathematical Society. It does
                 not mention Douglas Hartree.",
}

@Article{Massey:1936:ILN,
  author =       "H. S. W. Massey and C. B. O. Mohr",
  title =        "The interaction of light nuclei {III} --- The binding
                 energies of {He$^4$}, {He$^5$}, {Li$^6$}, and of nuclei
                 of type $ 4 n $",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "156",
  number =       "889",
  pages =        "634--654",
  month =        sep,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0172",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Massey:1936:NAI,
  author =       "H. S. W. Massey and Robert Allan Smith",
  title =        "Negative atomic ions",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "155",
  number =       "886",
  pages =        "472--489",
  month =        jul,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0113",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Porter:1936:DAS,
  author =       "Arthur Porter",
  title =        "The Differential Analyser and Some Applications",
  type =         "{Ph.D.} thesis",
  school =       "The Victoria University of Manchester",
  address =      "Manchester, UK",
  pages =        "vii + 364",
  month =        oct,
  year =         "1936",
  bibdate =      "Tue Sep 05 11:37:53 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301194398/",
  abstract =     "In this thesis an account is given of the work done in
                 connection with a machine, called the differential
                 analyser, which is applied to solve differential
                 equations. The plan of presentation is as follows.
                 Firstly, an account of the model machine is given in
                 the form of a published paper. Part I gives a
                 descriptive account of (i) the extension and
                 modification of the model, and (ii) the main points in
                 the construct ion and adjustment of the full-size
                 machine. Part II deals with a study of an automatic
                 control problem. Part III gives details of the
                 applications of the machine to other problems.",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  remark =       "An appendix includes a copy of
                 \cite{Hartree:1935:COM}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Swirles:1936:RIT,
  author =       "Bertha Swirles",
  title =        "The relativistic interaction of two electrons in the
                 self-consistent field method",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "157",
  number =       "892",
  pages =        "680--696",
  month =        dec,
  year =         "1936",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1936.0224",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Bethe:1937:KEN,
  author =       "H. A. Bethe and M. E. Rose",
  title =        "Kinetic Energy of Nuclei in the {Hartree} Model",
  journal =      j-PHYS-REV,
  volume =       "51",
  number =       "4",
  pages =        "283--285",
  day =          "15",
  month =        feb,
  year =         "1937",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.51.283",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sat Jun 16 15:06:17 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://prola.aps.org/abstract/PR/v51/i4/p283_1",
  ZMnumber =     "0016.09303",
  acknowledgement = ack-nhfb,
  author-dates = "Hans Albrecht Bethe (1906--2005)",
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  subjects =     "Quantum theory",
}

@Article{Rose:1937:ENS,
  author =       "M. E. Rose and H. A. Bethe",
  title =        "Erratum: {Nuclear Spins and Magnetic Moments in the
                 Hartree Model (Phys. Rev. {\bf 51}, 2051937)}",
  journal =      j-PHYS-REV,
  volume =       "51",
  number =       "11",
  pages =        "993--993",
  day =          "1",
  month =        jun,
  year =         "1937",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.51.993.2",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sat Jun 16 15:06:17 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See \cite{Rose:1937:NSM}.",
  URL =          "http://prola.aps.org/abstract/PR/v51/i11/p993_2",
  acknowledgement = ack-nhfb,
  author-dates = "Hans Albrecht Bethe (1906--2005)",
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Rose:1937:NSM,
  author =       "M. E. Rose and H. A. Bethe",
  title =        "Nuclear Spins and Magnetic Moments in the {Hartree}
                 Model",
  journal =      j-PHYS-REV,
  volume =       "51",
  number =       "3",
  pages =        "205--213",
  day =          "1",
  month =        feb,
  year =         "1937",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.51.205",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sat Jun 16 15:06:17 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See erratum \cite{Rose:1937:ENS}.",
  URL =          "http://prola.aps.org/abstract/PR/v51/i3/p205_1",
  ZMnumber =     "0016.14203",
  acknowledgement = ack-nhfb,
  author-dates = "Hans Albrecht Bethe (1906--2005)",
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  subjects =     "Quantum theory",
}

@Article{Rosseland:1937:ODN,
  author =       "Svein Rosseland",
  title =        "Om Differensialanalysatoren. ({Norwegian}) [{On} the
                 Differential Analyzer]",
  journal =      j-NORSK-MAT-TIDSSKR,
  volume =       "19",
  number =       "1--4",
  pages =        "134--138",
  month =        "????",
  year =         "1937",
  ISSN =         "2387-2187",
  ISSN-L =       "2387-2187",
  bibdate =      "Thu Aug 17 08:13:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://articles.adsabs.harvard.edu/full/seri/QJRAS/0027/0000512.000.html",
  acknowledgement = ack-nhfb,
  author-dates = "31 March 1894--19 January 1985",
  fjournal =     "Norsk Matematisk Tidsskrift",
  language =     "Norwegian",
  remark =       "No online archive of this journal has been found.
                 Google Books has snippets from a few volumes, but not
                 volume 19.",
}

@Article{Stevenson:1937:GES,
  author =       "A. F. Stevenson",
  title =        "A generalization of the equations of the
                 self-consistent field for two-electron configurations",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "160",
  number =       "903",
  pages =        "588--604",
  day =          "15",
  month =        jun,
  year =         "1937",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1937.0128",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "13 February 1937 [communicated by D. R. Hartree,
                 FRS]",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Williams:1937:RSC,
  author =       "Arthur Olney {Williams, Jr.}",
  title =        "A Relativistic Self-Consistent Field for Copper",
  type =         "{Ph.D.} thesis",
  school =       "Brown University",
  address =      "Providence, RI, USA",
  pages =        "vi + 86",
  month =        oct,
  year =         "1937",
  bibdate =      "Wed Aug 16 16:46:21 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See also \cite{Williams:1940:RSC}.",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301791656",
  acknowledgement = ack-nhfb,
  advisor =      "Robert Bruce Lindsay",
  author-dates = "1913--????",
  remark =       "Thesis not available online. Proquest says degree year
                 is 1938, but Brown University Library catalog says
                 October 1937.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@MastersThesis{Buneman:1938:LSO,
  author =       "Oscar Buneman",
  title =        "Linear Second Order Differential Equations Having Four
                 Regular Singularities",
  type =         "{M.Sc.} thesis",
  school =       "Victoria University of Manchester",
  address =      "Manchester, UK",
  pages =        "????",
  year =         "1938",
  bibdate =      "Thu Sep 07 06:00:39 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  advisor =      "Louis Mordell, Patrick M. S. Blackett, and Douglas
                 Rayner Hartree",
  author-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
  remark =       "Cited in \cite[pp. 8, 20]{Meyer-Spasche:2016:PPO}.",
}

@MastersThesis{Crank:1938:TBL,
  author =       "John Crank",
  title =        "The treatment of a boundary layer and two valve
                 problems by the differential analyser",
  type =         "{M.Sc.} thesis",
  school =       "Victoria University of Manchester",
  address =      "Manchester, UK",
  pages =        "????",
  year =         "1938",
  bibdate =      "Tue Sep 05 14:39:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://mathshistory.st-andrews.ac.uk/Biographies/Crank/;
                 https://www.proquest.com/pqdtglobal/docview/301230033/",
  acknowledgement = ack-nhfb,
  advisor =      "William Lawrence Bragg and Douglas Rayner Hartree",
  author-dates = "John Crank (6 February 1916--3 October 2006)",
  remark =       "ProQuest and Mathematics Genealogy site say M.Sc., not
                 Ph.D. Library Hub Discover, Manchester University and
                 ProQuest catalogs lack degree, page count, and precise
                 date. No electronic copy available. Victoria University
                 of Manchester awarded him an honorary D.Sc. in 1953.",
}

@Article{Massey:1938:SSD,
  author =       "H. S. W. Massey and J. Wylie and R. A. Buckingham and
                 R. Sullivan",
  title =        "A Small Scale Differential Analyser: Its Construction
                 and Operation",
  journal =      j-PROC-R-IR-ACAD-SECT-A,
  volume =       "45",
  pages =        "1--21",
  day =          "4",
  month =        oct,
  year =         "1938",
  CODEN =        "PRIAAK",
  ISSN =         "0035-8975",
  bibdate =      "Thu Aug 17 07:50:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.jstor.org/stable/20490736",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Irish Academy, Section A:
                 Mathematical and Physical Sciences",
  read =         "11 April 1938",
  remark =       "From page 1: ``To this end a model machine has been
                 constructed which, while robust and capable of giving
                 results to an average accuracy of 1--2 per cent., is
                 comparatively inexpensive, the total cost of the
                 materials employed in its construction being less than
                 \pounds 50.''",
}

@Article{Anonymous:1939:DAE,
  author =       "Anonymous",
  title =        "The Differential Analyser in Electrical Engineering",
  journal =      j-NATURE,
  volume =       "143",
  number =       "3610",
  pages =        "36--36",
  day =          "7",
  month =        jan,
  year =         "1939",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/143036a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Mon Aug 14 10:19:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Comments on
                 \cite{Hartree:1938:DAA,Hartree:1938:ADA}.",
  URL =          "https://www.nature.com/articles/143036a0",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Jucys:1939:SCF,
  author =       "A. Jucys",
  title =        "Self-consistent field with exchange for carbon",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "173",
  number =       "952",
  pages =        "59--67",
  month =        nov,
  year =         "1939",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1939.0128",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Lewis:1939:CCS,
  author =       "Clayton Roy Lewis",
  title =        "Collision Cross-sections of Some Singly-excited States
                 of Helium Using {Hartree} Wave Functions",
  type =         "{Ph.D.} thesis",
  school =       "Brown University",
  address =      "Providence, RI, USA",
  pages =        "ix + 90",
  year =         "1939",
  bibdate =      "Wed Sep 06 16:07:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301807268/",
  acknowledgement = ack-nhfb,
  remark =       "Neither publication metadata, nor an electronic form,
                 are available at ProQuest. WorldCat data from Brown
                 University catalog supplied page data.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Stevenson:1939:MIC,
  author =       "A. F. Stevenson",
  title =        "A Method for Improved Calculation of Energies of
                 Two-Electron Configurations from {Hartree} Functions
                 Application to $ 2 p^2 $ in {O III}",
  journal =      j-PHYS-REV,
  volume =       "56",
  number =       "6",
  pages =        "586--593",
  month =        sep,
  year =         "1939",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/physrev.56.586",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Aug 16 17:27:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.56.586",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Thatcher:1939:CWF,
  author =       "W. A. Thatcher",
  title =        "Calculated wave functions and energy values for
                 X-{ray} terms of potassium",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "172",
  number =       "949",
  pages =        "242--263",
  month =        aug,
  year =         "1939",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1939.0102",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Buneman:1940:LSO,
  author =       "Oscar Buneman",
  title =        "The Solutions of the Spheroidal Wave Equation",
  type =         "{Ph.D.} thesis",
  school =       "Victoria University of Manchester",
  address =      "Manchester, UK",
  year =         "1940",
  bibdate =      "Tue Sep 05 14:49:23 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Oscar_Buneman;
                 https://www.proquest.com/pqdtglobal/docview/301225455",
  accepted =     "3 Mary 1940",
  acknowledgement = ack-nhfb,
  advisor =      "Herbert Brian Squire and Douglas Rayner Hartree",
  advisor-dates = "Herbert Brian Squire (1909--1961); Douglas Rayner
                 Hartree (27 March 1897--12 February 1958)",
  author-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
  remark =       "Listed in Mathematics Genealogy Web site, but not
                 present in ProQuest. Library Hub Discover, or
                 University of Manchester library catalog. Born in
                 Milan, Italy as Oscar B{\"u}nemann, and educated in
                 Hamburg, Germany, he Anglicized his surname to Buneman
                 after fleeing the Nazis in the 1930s and moving to
                 England. The thesis title and dates are from \cite[p.
                 9]{Meyer-Spasche:2016:PPO}. That title is not found in
                 the Library Hub Discover or Manchester University
                 library catalogs. ProQuest says degree date is 1942,
                 but entry \cite{Bracewell:1993:OB} also says 1940. No
                 electronic copy is available. The year disagreement is
                 explained in \cite[pp. 9--10]{Meyer-Spasche:2016:PPO}:
                 ``OB submitted his thesis in April 1940, and on May 3,
                 the committee accepted an application to examine his
                 thesis `Solutions of the Spheroidal Wave Equation'
                 (Buneman 1940). The internal examiner was to be Dr
                 Squire [\cite{Gates:1962:HBS}]. \ldots{} As things
                 developed, his applications for a teaching post were
                 thwarted, because on June 3, 1940, Oscar Bunemann was
                 interned as an enemy alien. When the committee met for
                 his oral PhD examination on June 8 [1940], it noted
                 that Buneman had been interned and queried whether an
                 examiner could be sent to hold the oral at `the place
                 of internment' as it had been indicated that he would
                 not be released to attend the oral. The official
                 document for his doctoral degree is dated May 1, 1942.
                 In practice, though, the degree was granted to him in
                 absentia in the summer of 1940.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  submitted =    "April 1940",
  xxpages =      "39",
  xxtitle =      "Linear Second Order Differential Equations Having Four
                 Regular Singularities",
}

@Article{Williams:1940:RSC,
  author =       "A. O. (Arthur Olney) {Williams, Jr.}",
  title =        "A Relativistic Self-Consistent Field for {Cu$^+$}",
  journal =      j-PHYS-REV,
  volume =       "58",
  number =       "8",
  pages =        "723--726",
  month =        oct,
  year =         "1940",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/physrev.58.723",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Aug 16 17:06:09 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See also thesis \cite{Williams:1937:RSC}.",
  URL =          "https://journals.aps.org/pr/abstract/10.1103/PhysRev.58.723",
  abstract =     "An improvement can be made in the Hartree
                 self-consistent field solution of the many-electron
                 atom by substituting the Dirac relativistic
                 one-electron equation for the Schr{\"o}dinger
                 one-electron equation. It has been shown earlier that
                 in the solution without exchange the necessary
                 potential function can be found just as in the
                 nonrelativistic case. The numerical solution for the
                 inner shells of Cu$^+$ is outlined, and tables of the
                 resulting energy parameters and charge density
                 distribution are given. The corrections introduced into
                 the charge density distribution are small, except near
                 the nucleus, for this comparatively light ion. The
                 energy parameters are noticeably affected, and the
                 known splitting of the $ (p)$ and $ (d)$ energy
                 parameters is shown. Approximate calculations of the
                 magnetic interaction energies between two electrons
                 show the results to be negligible, to the order of
                 accuracy of the main calculations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  received =     "8 July 1940",
  remark =       "The footnote to the title in this paper says:
                 ``Abstract of a thesis submitted to the Graduate School
                 of Brown University in partial fulfillment of the
                 requirements for the degree of Doctor of
                 Philosophy.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Shannon:1941:MTD,
  author =       "Claude E. Shannon",
  title =        "Mathematical theory of the differential analyzer",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "20",
  number =       "1--4",
  pages =        "337--354",
  month =        apr,
  year =         "1941",
  CODEN =        "JMPHA9",
  DOI =          "https://doi.org/10.1002/sapm1941201337",
  ISSN =         "0097-1421",
  ISSN-L =       "0097-1421",
  MRclass =      "65.0X",
  MRnumber =     "0006251 (3,279a)",
  MRreviewer =   "H. L. Hazen",
  bibdate =      "Sat Nov 20 10:08:20 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/shannon-claude-elwood.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Phys. Mass. Inst. Tech.",
  attnote =      "Included in Part B.",
  author-dates = "Claude Elwood Shannon (April 30, 1916--February 24,
                 2001)",
  fjournal =     "Journal of Mathematics and Physics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
  remark =       "The last of three references is
                 \cite{Hartree:1938:MID}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hill:1943:OMW,
  author =       "A. V. Hill",
  title =        "Obituaries: {Mr. William Hartree, O.B.E.}",
  journal =      j-NATURE,
  volume =       "152",
  number =       "3849",
  pages =        "154--156",
  day =          "7",
  month =        aug,
  year =         "1943",
  CODEN =        "NATUAS",
  DOI =          "https://doi.org/10.1038/152154a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Wed Aug 16 07:16:32 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.nature.com/articles/152154a0#citeas",
  abstract =     "A remarkable fact about William Hartree, who died on
                 April 27, 1943, was that his first scientific paper
                 appeared (in 1920) when he was fifty, his last (in
                 1941) when he was seventy-one. In those twenty-one
                 years he published ten papers alone and thirty-six in
                 collaboration (in J. Physiol., Proc. Roy. Soc. A and B,
                 Phil. Trans. A and B, Phys. Rev., J. Sci. Instruments,
                 Proc. Camb. Phil. Soc., and Biochem. J.).",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark-1 =     "William Hartree is the father of Douglas Rayner
                 Hartree.",
  remark-2 =     "From the article: ``I had to stop him then from trying
                 to get into the army at forty-seven --- because he was
                 enjoying that work too much! Later, at Cambridge, when
                 I pressed him once to take a holiday, he wrote me next
                 day `I have taken a holiday to-day --- made a new kind
                 of experiment' the only kind of holiday he liked.''",
  remark-3 =     "From the article: ``In his work with me on the
                 physiology of muscle he reckoned that he had written
                 down between $10^7$ and $10^8$ figures, and we very
                 seldom discovered a mistake''",
  remark-4 =     "From the article: ``As D. R. Hartree wrote me, `I
                 regard his work for Cu as a considerable technical
                 feat; one aspect of it is that it forms the solution of
                 a system of 34 simultaneous non-linear differential
                 equations!'\,''.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); William Hartree (8 April 1870--27 April 1943)",
}

@Article{Milne:1944:RHF,
  author =       "E. A. Milne",
  title =        "{Ralph Howard Fowler}",
  journal =      j-J-LOND-MATH-SOC,
  volume =       "19",
  number =       "76 (Part 4)",
  pages =        "244--256",
  month =        oct,
  year =         "1944",
  CODEN =        "JLMSAK",
  DOI =          "https://doi.org/10.1112/jlms/19.76_part_4.244",
  ISSN =         "0024-6107 (print), 1469-7750 (electronic)",
  ISSN-L =       "0024-6107",
  bibdate =      "Mon Aug 14 06:12:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reprinted, with minor changes, in
                 \cite{Milne:1944:RHF}. See also extended version with
                 publication list in \cite{Milne:1945:ONR}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the London Mathematical Society",
  journal-URL =  "http://jlms.oxfordjournals.org/content/by/year",
  subject-dates = "Ralph Howard Fowler (17 January 1889--28 July 1944)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Milne:1945:ONR,
  author =       "E. A. Milne",
  title =        "Obituary Notices: {Ralph Howard Fowler} [{17 January
                 1889--28 July 1944}]",
  journal =      j-MONTHLY-NOT-ROY-ASTRON-SOC,
  volume =       "105",
  number =       "2",
  pages =        "80--87",
  month =        apr,
  year =         "1945",
  CODEN =        "MNRAA4",
  DOI =          "https://doi.org/10.1093/mnras/105.2.80",
  ISSN =         "0035-8711 (print), 1365-2966 (electronic)",
  ISSN-L =       "0035-8711",
  bibdate =      "Sat Aug 12 15:24:32 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See also abbreviated versions
                 \cite{Milne:1944:RHF,Milne:1945:RHF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Monthly Notices of the Royal Astronomical Society",
  journal-URL =  "https://academic.oup.com/mnras",
  remark =       "According to the Mathematics Genealogy Web site in
                 August 2023, Ralph Fowler has 19 students and 3229
                 descendants. Although Douglas Hartree was in Fowler's
                 research group at the University of Cambridge, he is
                 not listed in that Web sites as Fowler's student;
                 instead, Hartree is listed as Ernest Rutherford's
                 student. There is no mention of Hartree in this
                 article.",
  subject-dates = "Ralph Howard Fowler (17 January 1889--28 July 1944)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Milne:1945:RHF,
  author =       "Edward Arthur Milne",
  title =        "{Ralph Howard Fowler, 1889--1944}",
  journal =      j-OBIT-NOTICES-FELLOWS-ROY-SOC,
  volume =       "5",
  number =       "14",
  pages =        "60--78",
  month =        nov,
  year =         "1945",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1098/rsbm.1945.0005",
  ISSN =         "1479-571X (print), 2053-9118 (electronic)",
  ISSN-L =       "1479-571X",
  bibdate =      "Sat Aug 12 15:35:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/obit-notices-fellows-roy-soc.bib",
  note =         "Minor changes from \cite{Milne:1944:RHF}. See also
                 extended version with publication list in
                 \cite{Milne:1945:ONR}. See also extended version with
                 publication list in \cite{Milne:1945:ONR}.",
  URL =          "http://www.jstor.org/stable/769110",
  acknowledgement = ack-nhfb,
  ajournal =     "Obit. Notices Roy. Soc. London",
  fjournal =     "Obituary Notices of Fellows of the Royal Society",
  published =    "01 November 1945",
  journal-URL =  "https://royalsocietypublishing.org/journal/rsbm;
                 https://www.jstor.org/journal/obitnotifellroya",
  remark =       "According to the Mathematics Genealogy Web site in
                 August 2023, Ralph Fowler has 19 students and 3229
                 descendants. Although Douglas Hartree was in Fowler's
                 research group at Cambridge University, he is not
                 listed in that Web sites as Fowler's student; instead,
                 Hartree is listed as Ernest Rutherford's student. There
                 are only brief mentions of Hartree in this article,
                 including a reference to their only joint paper
                 \cite{Fowler:1926:ISI}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Ralph Howard Fowler (17 January 1889--28 July
                 1944)",
}

@Article{Scott:1945:IPR,
  author =       "R. A. Scott",
  title =        "An investigation of the performance of the {Rayleigh}
                 disk",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "183",
  number =       "994",
  pages =        "296--316",
  month =        feb,
  year =         "1945",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1945.0004",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Anonymous:1946:IDH,
  author =       "Anonymous",
  title =        "Interview with {Douglas Hartree}",
  howpublished = "Science Survey, BBC Home Service (radio)",
  day =          "11",
  month =        dec,
  year =         "1946",
  bibdate =      "Fri May 24 15:25:03 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  remark =       "Cited in \cite[p. 328]{Sumner:2014:DCV}. Held in
                 University of Manchester archives.",
}

@Article{Anonymous:1946:REE,
  author =       "Anonymous",
  title =        "Review of {{\booktitle{The ENIAC, an Electronic
                 Calculating Machine}}, by D. R. Hartree}",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "2",
  number =       "16",
  pages =        "185--185",
  month =        oct,
  year =         "1946",
  CODEN =        "MTTCAS",
  DOI =          "https://doi.org/10.2307/2002581",
  ISSN =         "0891-6837 (print), 2326-4853 (electronic)",
  ISSN-L =       "0891-6837",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/2002581",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Book{Jeffreys:1946:MMP,
  author =       "Harold Jeffreys and Bertha {Swirles Jeffreys}",
  title =        "Methods of Mathematical Physics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "vii + 1 + 679",
  year =         "1946",
  LCCN =         "QA401 .J4",
  bibdate =      "Thu Aug 17 10:48:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Bertha_Swirles;
                 https://en.wikipedia.org/wiki/Harold_Jeffreys",
  acknowledgement = ack-nhfb,
  author-dates = "Sir Harold Jeffreys (22 April 1891--18 March 1989);
                 Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Nicolson:1946:TPT,
  author =       "Phyllis (n{\'e}e Lockett) Nicolson",
  title =        "Three Problems in Theoretical Physics",
  type =         "{Ph.D.} thesis",
  school =       "Victoria University of Manchester",
  address =      "Manchester, UK",
  pages =        "192 (some unnumbered figures)",
  year =         "1946",
  bibdate =      "Wed Sep 06 06:38:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://dbpedia.org/page/Phyllis_Nicolson;
                 https://en.wikipedia.org/wiki/Phyllis_Nicolson;
                 https://mathshistory.st-andrews.ac.uk/Biographies/Nicolson/;
                 https://www.proquest.com/pqdtglobal/docview/2277490510",
  abstract =     "The thesis is divided into three sections each of
                 which gives an account of a distinct piece of work. The
                 first section is concerned with Cosmic Radiation and
                 was done under the supervision of Dr L. J{\'a}nossy
                 during 1939 and 1940. In 1940 cosmic ray work was
                 interrupted by the war and the other two sections deal
                 with problems arising from the war effort which were
                 investigated under the direction of Professor D.
                 Hartree while in the employ of the Ministry of
                 Supply.",
  acknowledgement = ack-nhfb,
  advisor =      "Lajos J{\'a}nossy and Douglas Rayner Hartree",
  author-dates = "Phyllis Nicolson (1 September 1917--6 October 1968)",
  remark-1 =     "From the Preface on page 9: ``In 1939 cosmic ray work
                 was started under the direction of Dr L. J{\'a}nossy
                 and would normally have formed the basis of a Ph.D.
                 thesis presented in 1941. In 1940 however this work was
                 interrupted by the war and the writer joined a Ministry
                 of Supply group under the direction of Professor D. R.
                 Hartree F.R.S, As a result this thesis is composed of
                 three unrelated sections each giving an account of a
                 separate piece of work. The first part deals with the
                 cosmic ray work carried out in 1939 and 1940; the
                 remainder is concerned with two of the problems which
                 were investigated during the period 1940-43 while in
                 the employ of the Ministry of Supply.\par

                 \ldots{} \par

                 My thanks are also due to Mr J. Crank who collaborated
                 in the work described in Part III; to Messrs E. Lloyd
                 and H. Parsons who mainly carried out the Differential
                 Analyser work involved in Part III; to Dr. 0. Bunemann
                 and Mr D. T. Copley, who were also members of Professor
                 Hartree's Magnetron Group, for many helpful discussions
                 in the course of the magnetron work.''",
  remark-2 =     "The author was Phyllis Lockett until her marriage in
                 1942 to physicist M. M. (Malcolm Macleod) Nicolson
                 (1919--1951), another student of Douglas Hartree.
                 Malcolm died in a train accident, crossing rail lines
                 in fog, in Leeds on 21 December 1951. On 1 August 1955,
                 Phyllis married physicist Malcolm McCaig (1911--1978).
                 I have been unable to locate degree information for
                 Malcolm Macleod Nicolson in the Cambridge iDiscover,
                 Library Hub Discover, and Manchester University library
                 catalogs, or in ProQuest.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Part I: Cosmic Radiation \\
                 Meson Formation and the East--West Asymmetry and
                 Latitude effect at Sea Level \\
                 Part II: Magnetrons \\
                 Transient behaviour in the single anode magnetron \\
                 Part III: Head Conduction \\
                 The Solution of the partial differential equations
                 describing the flow of heat in a medium in which
                 internal evolution of heat occurs as a result of
                 chemical processes",
}

@Article{Brown:1947:RCM,
  author =       "B. M. Brown",
  title =        "Review of {{\booktitle{Calculating Machines. Recent
                 Work and Prospective Developments}}, by D. R.
                 Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "31",
  number =       "295",
  pages =        "176--176",
  month =        jul,
  year =         "1947",
  CODEN =        "MAGAAS",
  ISSN =         "00255572",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3610519",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Book{Crank:1947:DA,
  author =       "John Crank",
  title =        "The differential analyser",
  publisher =    "Longmans",
  address =      "London, UK",
  pages =        "137 + 4",
  year =         "1947",
  bibdate =      "Tue Sep 05 14:32:23 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "John Crank (6 February 1916--3 October 2006)",
  remark =       "John Crank (Ph.D. 1938) is Douglas Hartree's doctoral
                 student.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Crank:1947:PMN,
  author =       "John Crank and Phyllis Nicolson",
  title =        "A Practical Method for Numerical Evaluation of
                 Solutions of Partial Differential Equations of the
                 Heat-Conduction Type",
  journal =      j-MATH-PROC-CAMB-PHILOS-SOC,
  volume =       "43",
  number =       "1",
  pages =        "50--67",
  month =        jan,
  year =         "1947",
  CODEN =        "MPCPCO",
  DOI =          "https://doi.org/10.1017/s0305004100023197",
  ISSN =         "0305-0041 (print), 1469-8064 (electronic)",
  ISSN-L =       "0305-0041",
  bibdate =      "Wed Sep 6 18:34:37 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Crank%E2%80%93Nicolson_method",
  acknowledgement = ack-nhfb,
  author-dates = "John Crank (6 February 1916--3 October 2006); Phyllis
                 Nicolson (21 September 1917--6 October 1968)",
  fjournal =     "Mathematical Proceedings of the Cambridge
                 Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  keywords =     "Crank--Nicolson method for finite differences",
  received =     "20 March 1946",
  remark =       "From the last paragraph: ``The authors are grateful to
                 Prof. D. R. Hartree for many helpful suggestions. In
                 operating the differential analyser, the authors were
                 assisted by Messrs E. C. Lloyd, H. W. Parsons and W. W.
                 J. Cairns.'' John Crank was at the Mathematical
                 Laboratory, Cambridge, and Phyllis Nicolson was at
                 Girton College, Cambridge. There are several mentions
                 of advice from Douglas R. Hartree and John von Neumann
                 that led to what has since been called the
                 ``Crank--Nicolson method for finite differences'' for
                 solving partial differential equations.",
}

@Article{K:1947:RCM,
  author =       "R. S. K.",
  title =        "Review of {{\booktitle{Calculating Machines}}, by D.
                 R. Hartree}",
  journal =      j-CURR-SCI,
  volume =       "16",
  number =       "5",
  pages =        "161--162",
  year =         "1947",
  CODEN =        "CUSCAM",
  ISSN =         "0011-3891",
  ISSN-L =       "0011-3891",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/24210748",
  acknowledgement = ack-nhfb,
  fjournal =     "Current Science",
  journal-URL =  "https://www.jstor.org/journal/currentscience",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{L:1947:RCM,
  author =       "D. H. L.",
  title =        "Review of {{\booktitle{Calculating Machines, Recent
                 and Prospective Developments and their Impact on
                 Mathematical Physics}}, by D. R. Hartree}",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "2",
  number =       "19",
  pages =        "316--317",
  month =        jul,
  year =         "1947",
  CODEN =        "MTTCAS",
  ISSN =         "08916837",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/2002592",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Anonymous:1948:MAM,
  author =       "Anonymous",
  title =        "Most Amazing Machines Still Depend on Man",
  journal =      "Los Angeles Times",
  volume =       "??",
  number =       "??",
  pages =        "A8--A8",
  day =          "1",
  month =        aug,
  year =         "1948",
  ISSN =         "0458-3035",
  ISSN-L =       "0458-3035",
  bibdate =      "Mon Aug 07 11:37:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/hnplatimes/docview/165831266",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.latimes.com/archives",
  remark =       "Contains comment by Douglas Hartree [British
                 mathematician on leave from the University of Cambridge
                 to serve as acting director of the UCLA Institute for
                 Numerical Analysis]: ``A machine might go haywire, he
                 said, and some of its intricate working parts might go
                 on trying to divide by zero for an eternity.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Arnold:1948:RCM,
  author =       "K. J. Arnold",
  title =        "Review of {{\booktitle{Calculating Machines}}, by D.
                 R. Hartree}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "55",
  number =       "2",
  pages =        "109--109",
  month =        feb,
  year =         "1948",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:48 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Harish-Chandra:1948:REE,
  author =       "Harish-chandra Harish-Chandra",
  title =        "Relativistic equations for elementary particles",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "192",
  number =       "1029",
  pages =        "195--218",
  month =        feb,
  year =         "1948",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1948.0005",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Anonymous:1949:MDA,
  author =       "Anonymous",
  title =        "{Meccano} differential analyser, 1947",
  howpublished = "Open Science Museum Group Web site",
  year =         "1949",
  bibdate =      "Mon Sep 11 11:38:05 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "This site contains photographs of the model
                 differential analyser built by Douglas R. Hartree and
                 Arthur Porter in 1934, and then reconstructed by
                 Hartree in 1947. It was contributed by Hartree's son,
                 Richard Hartree.",
  URL =          "https://www.jstor.org/stable/community.26290058",
  acknowledgement = ack-nhfb,
}

@Article{Clemmow:1949:TFP,
  author =       "P. C. Clemmow and Cara M. Munford",
  title =        "A theory of the film phenomena of liquid helium {II}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "198",
  number =       "1054",
  pages =        "438--446",
  month =        aug,
  year =         "1949",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1949.0111",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Coulson:1949:XNM,
  author =       "Charles A. Coulson and Inga Fischer",
  title =        "{XXXIV}. {Notes} on the molecular orbital treatment of
                 the hydrogen molecule",
  journal =      j-PHILOS-MAG,
  volume =       "40",
  number =       "303",
  pages =        "386--393",
  month =        apr,
  year =         "1949",
  CODEN =        "PHMAA4",
  DOI =          "https://doi.org/10.1080/14786444908521726",
  ISSN =         "0031-8086",
  bibdate =      "Mon Aug 14 09:50:12 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Charles_Coulson;
                 https://en.wikipedia.org/wiki/Inga_Fischer-Hjalmars;
                 https://www.tandfonline.com/doi/abs/10.1080/14786444908521726",
  acknowledgement = ack-nhfb,
  author-dates = "Charles Alfred Coulson (13 December 1910--7 January
                 1974); Inga Fischer-Hjalmars (16 January 1918--17
                 September 2008)",
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
  keywords =     "multi-configurational self-consistent field (MC-SCF)
                 methods; unrestricted Hartree--Fock method",
  remark =       "According to \cite[p. 244]{Roos:1994:IIF}, ``This
                 landmark paper, which is still used as a reference,
                 pointed forward to the development of the unrestricted
                 Hartree--Fock method and multi-configurational
                 self-consistent field methods for the description of
                 the dissociation of the chemical bond.'' See also
                 \cite{Altmann:1974:CAC,Johansson:2012:IFH} for memoirs
                 of the authors.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Domb:1949:ODSa,
  author =       "Cyril Domb",
  title =        "Order--disorder statistics. {I}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "196",
  number =       "1044",
  pages =        "36--50",
  month =        feb,
  year =         "1949",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1949.0012",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Domb:1949:ODSb,
  author =       "C. Domb",
  title =        "Order--disorder statistics. {II}. A two-dimensional
                 model",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "199",
  number =       "1057",
  pages =        "199--221",
  month =        oct,
  year =         "1949",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1949.0134",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Stewartson:1949:CIC,
  author =       "K. Stewartson",
  title =        "Correlated incompressible and compressible boundary
                 layers",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "200",
  number =       "1060",
  pages =        "84--100",
  month =        dec,
  year =         "1949",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1949.0160",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Temperley:1949:SMP,
  author =       "H. N. V. Temperley",
  title =        "Statistical mechanics and the partition of numbers
                 {I}. {The} transition of liquid helium",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "199",
  number =       "1058",
  pages =        "361--375",
  month =        nov,
  year =         "1949",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1949.0143",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Allport:1950:RCI,
  author =       "Gordon W. Allport",
  title =        "Review of {{\booktitle{Calculating Instruments and
                 Machines}}, by Douglas R. Hartree}",
  journal =      j-SCI-AMER,
  volume =       "182",
  number =       "6",
  pages =        "59--59",
  month =        jun,
  year =         "1950",
  CODEN =        "SCAMAC",
  DOI =          "https://doi.org/10.1038/scientificamerican0650-56",
  ISSN =         "0036-8733 (print), 1946-7087 (electronic)",
  ISSN-L =       "0036-8733",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/24967482;
                 http://www.nature.com/scientificamerican/journal/v182/n6/pdf/scientificamerican0650-56.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Scientific American",
  journal-URL =  "http://www.nature.com/scientificamerican",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Boys:1950:EWF,
  author =       "S. F. (Samuel Francis) Boys",
  title =        "Electronic wave functions --- {I}. {A} general method
                 of calculation for the stationary states of any
                 molecular system",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "200",
  number =       "1063",
  pages =        "542--554",
  month =        feb,
  year =         "1950",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1950.0036",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Sat Aug 12 07:00:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "This communication deals with the general theory of
                 obtaining numerical electronic wave functions for the
                 stationary states of atoms and molecules. It is shown
                 that by taking Gaussian functions, and functions
                 derived from these by differentiation with respect to
                 the parameters, complete systems of functions can be
                 constructed appropriate to any molecular problem, and
                 that all the necessary integrals can be explicitly
                 evaluated. These can be used in connexion with the
                 molecular orbital method, or localized bond method, or
                 the general method of treating linear combinations of
                 many Slater determinants by the variational procedure.
                 This general method of obtaining a sequence of
                 solutions converging to the accurate solution is
                 examined. It is shown that the only obstacle to the
                 evaluation of wave functions of any required degree of
                 accuracy is the labour of computation. A modification
                 of the general method applicable to atoms is discussed
                 and considered to be extremely practicable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "31 August 1949",
  remark =       "This paper introduces Gaussian-Type Orbitals (GTOs),
                 as a replacement for Slater-Type Orbitals (STOs), in
                 molecular calculations to reduce the difficult 1-, 2-,
                 3-, and 4-center integrals to at most 2-center
                 integrals, for each of which there is a simple exact
                 analytical formula that is easy to evaluate.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Mathew:1950:RCM,
  author =       "N. T. Mathew",
  title =        "Review of {{\booktitle{Calculating Machines, Recent
                 and Prospective Developments}}, by D. R. Hartree}",
  journal =      j-SANKHYA,
  volume =       "10",
  number =       "1--2",
  pages =        "166--166",
  month =        mar,
  year =         "1950",
  CODEN =        "SNKYA5",
  ISSN =         "0036-4452",
  ISSN-L =       "0036-4452",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/25048021",
  acknowledgement = ack-nhfb,
  fjournal =     "Sankhy{\=a} (Indian Journal of Statistics)",
  journal-URL =  "https://www.jstor.org/journal/sankhya",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Temperley:1950:SMT,
  author =       "H. N. V. Temperley",
  title =        "Statistical mechanics of the two-dimensional
                 assembly",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "202",
  number =       "1069",
  pages =        "202--207",
  month =        jul,
  year =         "1950",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1950.0094",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Wheeler:1950:POI,
  author =       "David John Wheeler",
  title =        "Programme organization and initial orders for the
                 {EDSAC}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "202",
  number =       "1071",
  pages =        "573--589",
  month =        aug,
  year =         "1950",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1950.0121",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Anonymous:1951:RCI,
  author =       "Anonymous",
  title =        "Review of {{\booktitle{Calculating Instruments and
                 Machines I Eng. Edn.}}, by D. R. Hartree. (1951)}",
  journal =      j-CURR-SCI,
  volume =       "20",
  number =       "5",
  pages =        "142--143",
  year =         "1951",
  CODEN =        "CUSCAM",
  ISSN =         "00113891",
  bibdate =      "Mon Sep 11 12:08:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/24212850",
  acknowledgement = ack-nhfb,
  fjournal =     "Current Science",
  journal-URL =  "https://www.jstor.org/journal/currentscience",
  reviewed-author = "D. R. Hartree",
  urldate =      "2023-09-11",
}

@Article{Clemmow:1951:MES,
  author =       "P. C. Clemmow",
  title =        "A method for the exact solution of a class of
                 two-dimensional diffraction problems",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "205",
  number =       "1081",
  pages =        "286--308",
  month =        feb,
  year =         "1951",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1951.0030",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Gill:1951:DMP,
  author =       "S. Gill",
  title =        "The diagnosis of mistakes in programmes on the
                 {EDSAC}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "206",
  number =       "1087",
  pages =        "538--554",
  month =        may,
  year =         "1951",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1951.0087",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Good:1951:BRC,
  author =       "I. J. Good",
  title =        "Book Review: {{\booktitle{Calculating Instruments and
                 Machines}}, by D. R. Hartree}",
  journal =      j-J-R-STAT-SOC-SER-A-GENERAL,
  volume =       "114",
  number =       "1",
  pages =        "106--107",
  month =        "????",
  year =         "1951",
  CODEN =        "JSSAEF",
  DOI =          "https://doi.org/10.2307/2980914",
  ISSN =         "0035-9238",
  ISSN-L =       "0035-9238",
  bibdate =      "Sat Jan 24 11:18:10 MST 2015",
  bibsource =    "http://www.jstor.org/stable/i349570;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jrss-a-1950.bib",
  URL =          "http://www.jstor.org/stable/2980914",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Royal Statistical Society. Series A
                 (General)",
  journal-URL =  "http://www.jstor.org/journals/00359238.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartley:1951:RCI,
  author =       "H. O. Hartley",
  title =        "Review of {{\booktitle{Calculating Instruments and
                 Machines}}, by D. R. Hartree}",
  journal =      j-SCI-PROG-RUSHDEN-UK,
  volume =       "39",
  number =       "156",
  pages =        "721--722",
  month =        oct,
  year =         "1951",
  CODEN =        "SCPRAY",
  ISSN =         "0036-8504 (print), 2047-7163 (electronic)",
  ISSN-L =       "0036-8504",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/43422940",
  acknowledgement = ack-nhfb,
  fjournal =     "Science Progress (1933--)",
  journal-URL =  "http://www.jstor.org/journal/scienceprogress",
  reviewed-author = "Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Slater:1951:MEH,
  author =       "J. C. Slater",
  title =        "Magnetic Effects and the {Hartree--Fock} Equation",
  journal =      j-PHYS-REV-2,
  volume =       "82",
  number =       "4",
  pages =        "538--541",
  day =          "15",
  month =        may,
  year =         "1951",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.82.538",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sun Jul 1 11:06:16 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  URL =          "http://prola.aps.org/abstract/PR/v82/i4/p538_1",
  acknowledgement = ack-nhfb,
  author-dates = "John Clarke Slater (1900--1976)",
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Slater:1951:SHF,
  author =       "J. C. Slater",
  title =        "A Simplification of the {Hartree--Fock} Method",
  journal =      j-PHYS-REV-2,
  volume =       "81",
  number =       "3",
  pages =        "385--390",
  day =          "1",
  month =        feb,
  year =         "1951",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.81.385",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Sun Jul 1 11:06:16 MDT 2012",
  bibsource =    "http://publish.aps.org/search;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib",
  URL =          "http://prola.aps.org/abstract/PR/v81/i3/p385_1",
  acknowledgement = ack-nhfb,
  author-dates = "John Clarke Slater (1900--1976)",
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  remark =       "This is the paper in which Slater introduces the X-$
                 \alpha $ method, an approximate method for solving the
                 Hartree--Fock equations where the complicated
                 two-electron Coulomb and exchange integral terms are
                 replaced by much simpler integrals involving a
                 one-particle scaled pseudopotential, with $ \alpha $
                 being the scale factor. Slater used $ \alpha = 1 $, but
                 later independent derivations of Slater's method found
                 $ \alpha = 2 / 3 $ (see
                 \cite{Gaspar:1954:AHF,Herman:1963:ASC,Kohn:1965:SCE,Slater:1972:SEC,Connolly:1977:XM}).
                 The method required computer solutions, and did not
                 become practical until the mid 1960s, but already in
                 1952, Pratt \cite{Pratt:1952:WFE} succeeded in using it
                 for a computation on the copper ion. According to Morse
                 \cite{Morse:1982:JCS}, it was made self-consistent
                 about 1965 (reference?? --- perhaps
                 \cite{Herman:1963:ASC}). However, it was considerably
                 faster than ab initio computations that handled all of
                 the difficult integrals properly, and allowed
                 computations on transition metal complexes that were
                 completely intractable in 1970 with the ab initio
                 approach. Keith Johnson at MIT, Frank Smith and Don
                 Ellis at Florida, and dozens of doctoral students at
                 Florida, MIT, Northwestern, and many other
                 universities, wrote hundreds of papers and
                 dissertations on computations with pseudopotential
                 methods, density functional methods, and discrete
                 variational methods, all of whose roots are in this
                 paper.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Vajda:1951:RCI,
  author =       "S. Vajda",
  title =        "Review of {{\booktitle{Calculating Instruments and
                 Machines}}, by D. R. Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "35",
  number =       "311",
  pages =        "71--72",
  month =        feb,
  year =         "1951",
  CODEN =        "MAGAAS",
  ISSN =         "00255572",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3610576",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Anonymous:1952:MND,
  author =       "Anonymous",
  title =        "Members of Note: {Douglas Rayner Hartree, M.A., Ph.D.,
                 F.R.S.}",
  journal =      j-PHYS-BULL,
  volume =       "3",
  number =       "32",
  pages =        "57--57",
  month =        aug,
  year =         "1952",
  CODEN =        "PHSBB4",
  DOI =          "https://doi.org/10.1088/0031-9112/3/32/006",
  ISSN =         "0031-9112",
  bibdate =      "Mon Sep 11 11:06:06 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Bulletin",
  journal-URL =  "http://iopscience.iop.org/0031-9112",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Clemmow:1952:TCV,
  author =       "P. C. Clemmow and Cara M. Munford",
  title =        "A Table of $ \sqrt {(1 / 2) \pi }e^{(1 / 2) \pi
                 \rho^2} \int_\rho^\infty e^{-(1 / 2) i \pi \lambda^2}
                 \, d \lambda $ for Complex Values of $ \rho $",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "245",
  number =       "895",
  pages =        "189--211",
  month =        sep,
  year =         "1952",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1952.0022",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Dingle:1952:MPM,
  author =       "Robert Balson Dingle",
  title =        "The Magnetic Properties of Metals",
  type =         "{Ph.D.} thesis",
  school =       "Faculty of Physics and Chemistry, Cambridge
                 University",
  address =      "Cambridge, UK",
  pages =        "????",
  day =          "24",
  month =        jan,
  year =         "1952",
  bibdate =      "Tue Sep 05 15:03:23 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Robert_Balson_Dingle;
                 https://www.proquest.com/pqdtglobal/docview/302092416/",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  author-dates = "26 March 1926--2 March 2010",
  remark =       "Listed in Mathematics Genealogy Web site. Not in
                 Proquest, and no electronic copy is available. Found in
                 Library Hub Discover (but no page count):
                 https://discover.libraryhub.jisc.ac.uk/search?q=Robert%20Dingle%201952&rn=3.
                 See also subsequent journal articles that likely arose
                 from Dingle's thesis work:
                 \cite{Dingle:1952:SMPa,Dingle:1952:SMPb,Dingle:1952:SMPc,Dingle:1952:SMPd,Dingle:1953:SMP}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1952:SMPa,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals. {I}. {General}
                 introduction, and properties of large systems of
                 electrons",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "211",
  number =       "1107",
  pages =        "500--516",
  month =        mar,
  year =         "1952",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1952.0055",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Wed Sep 6 14:08:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "23 July 1951",
  revised =      "15 November 1951",
}

@Article{Dingle:1952:SMPb,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals {II}. {The}
                 influence of collisions on the magnetic behaviour of
                 large systems",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "211",
  number =       "1107",
  pages =        "517--525",
  month =        mar,
  year =         "1952",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1952.0056",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Wed Sep 6 14:18:28 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "23 July 1951",
  revised =      "15 November 1951",
}

@Article{Dingle:1952:SMPc,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals --- {III}.
                 {Diamagnetic} resonance",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "212",
  number =       "1108",
  pages =        "38--47",
  month =        apr,
  year =         "1952",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1952.0064",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Wed Sep 6 14:21:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://doi.org/10.1098/rspa.1952.0064",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "23 July 1951",
  revised =      "15 November 1951",
}

@Article{Dingle:1952:SMPd,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals --- {IV}.
                 {Properties} of small systems of electrons",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "212",
  number =       "1108",
  pages =        "47--65",
  month =        apr,
  year =         "1952",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1952.0065",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Wed Sep 6 14:21:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "23 July 1951",
  revised =      "15 November 1951",
}

@Article{Heading:1952:ORL,
  author =       "J. Heading and R. T. P. Whipple",
  title =        "The oblique reflexion of long wireless waves from the
                 ionosphere at the places where the {Earth}'s magnetic
                 field is regarded as vertical",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "887",
  pages =        "469--503",
  month =        apr,
  year =         "1952",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1952.0012",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Pratt:1952:WFE,
  author =       "George W. {Pratt, Jr.}",
  title =        "Wave Functions and Energy Levels for {Cu$^+$} as Found
                 by the {Slater} Approximation to the {Hartree--Fock}
                 Equations",
  journal =      j-PHYS-REV-2,
  volume =       "88",
  number =       "6",
  pages =        "1217--1224",
  day =          "15",
  month =        dec,
  year =         "1952",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.88.1217",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Tue Jul 03 08:49:51 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  URL =          "http://prola.aps.org/abstract/PR/v88/i6/p1217_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  received =     "25 August 1952",
  remark =       "According to \cite{Morse:1982:JCS}, this may be the
                 first application of Slater's X-$ \alpha $ method
                 \cite{Slater:1951:SHF}. Calculations were done using an
                 IBM 602-A calculating punch `computer'.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Senior:1952:DSI,
  author =       "T. B. A. Senior",
  title =        "Diffraction by a semi-infinite metallic sheet",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "213",
  number =       "1115",
  pages =        "436--458",
  month =        jul,
  year =         "1952",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1952.0137",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{B:1953:RNA,
  author =       "R. E. B.",
  title =        "Review of {{\booktitle{Numerical Analysis}}, by D. R.
                 Hartree}",
  journal =      "Journal of the Institute of Actuaries (1886--1994)",
  volume =       "79",
  number =       "1",
  pages =        "123--124",
  month =        jun,
  year =         "1953",
  ISSN =         "0020-2681 (print), 2058-1009 (electronic)",
  ISSN-L =       "0020-2681",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/41139046",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.jstor.org/journal/jinstactuaries",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Church:1953:RCI,
  author =       "Alonzo Church",
  title =        "Review of {{\booktitle{Calculating Instruments and
                 Machines}}, by D. R. Hartree}",
  journal =      j-J-SYMBOLIC-LOGIC,
  volume =       "18",
  number =       "4",
  pages =        "347--347",
  month =        dec,
  year =         "1953",
  CODEN =        "JSYLA6",
  ISSN =         "0022-4812 (print), 1943-5886 (electronic)",
  ISSN-L =       "0022-4812",
  bibdate =      "Fri Aug 4 17:46:37 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/2266600",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Logic",
  journal-URL =  "http://projecteuclid.org/euclid.jsl;
                 http://www.jstor.org/journal/jsymboliclogic",
  reviewed-author = "Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Clemmow:1953:RPF,
  author =       "P. C. Clemmow",
  title =        "Radio propagation over a flat {Earth} across a
                 boundary separating two different media",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "246",
  number =       "905",
  pages =        "1--55",
  month =        jun,
  year =         "1953",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1953.0008",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1953:SMP,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals. {V}. {Magnetic}
                 behaviour of a cylindrical system of electrons for all
                 magnetic fields",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "216",
  number =       "1124",
  pages =        "118--142",
  month =        jan,
  year =         "1953",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1953.0011",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Wed Sep 6 14:23:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "25 August 1952",
}

@Article{Dingle:1953:SMPa,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals. {V}. {Magnetic}
                 behaviour of a cylindrical system of electrons for all
                 magnetic fields",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "216",
  number =       "1124",
  pages =        "118--142",
  month =        jan,
  year =         "1953",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1953.0011",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1953:SMPb,
  author =       "R. B. Dingle",
  title =        "Some magnetic properties of metals {VI}. Surface
                 corrections to the {Landau} diamagnetism and the {de
                 Haas--van Alphen} effect",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "219",
  number =       "1139",
  pages =        "463--477",
  month =        oct,
  year =         "1953",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1953.0160",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Hartley:1953:BRN,
  author =       "H. O. Hartley",
  title =        "Book Review: {{\booktitle{Numerical Analysis}}, by D.
                 R. Hartree}",
  journal =      j-J-R-STAT-SOC-SER-A-GENERAL,
  volume =       "116",
  number =       "1",
  pages =        "92--92",
  month =        "????",
  year =         "1953",
  CODEN =        "JSSAEF",
  DOI =          "https://doi.org/10.2307/2980959",
  ISSN =         "0035-9238",
  ISSN-L =       "0035-9238",
  bibdate =      "Sat Jan 24 11:18:10 MST 2015",
  bibsource =    "http://www.jstor.org/stable/i349578;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jrss-a-1950.bib",
  URL =          "http://www.jstor.org/stable/2980959",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Royal Statistical Society. Series A
                 (General)",
  journal-URL =  "http://www.jstor.org/journals/00359238.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Jones:1953:RNA,
  author =       "C. W. Jones",
  title =        "Review of {{\booktitle{Numerical Analysis}}, by D. R.
                 Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "37",
  number =       "322",
  pages =        "309--310",
  month =        dec,
  year =         "1953",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3610092",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@PhdThesis{Klug:1953:KPC,
  author =       "Aaron Klug",
  title =        "The Kinetics of Phase Changes in Solids",
  type =         "{Ph.D.} thesis",
  school =       "University of Cambridge, Trinity College",
  address =      "Cambridge, UK",
  day =          "21",
  month =        mar,
  year =         "1953",
  bibdate =      "Wed Sep 06 09:03:05 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Aaron_Klug;
                 https://www.nobelprize.org/prizes/chemistry/1982/summary/;
                 https://www.proquest.com/pqdtglobal/docview/301283484",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  author-dates = "Sir Aaron Klug (11 August 1926--20 November 2018)",
  remark =       "No electronic copy found online, and no page count
                 recorded. The author received the 1982 Nobel Prize in
                 Chemistry for ``for his development of crystallographic
                 electron microscopy and his structural elucidation of
                 biologically important nucleic acid-protein
                 complexes''. He was knighted in 1998.",
}

@Article{Williams:1953:TES,
  author =       "A. O. (Arthur Olney) {Williams, Jr.}",
  title =        "Two-Electron Self-Consistent Field",
  journal =      j-PHYS-REV,
  volume =       "90",
  number =       "5",
  pages =        "803--807",
  month =        jun,
  year =         "1953",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/physrev.90.803",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Aug 16 17:13:28 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "Stevenson's extension of the Hartree self-consistent
                 field (s.c.f.) method, to take some account of
                 polarization interaction between two outer electrons,
                 is worked out numerically, up to a point, for H$^-$.
                 The two-electron wave function is a product of two
                 one-electron radial functions and a function X of the
                 angle between the two radii. Several integrals must be
                 calculated and a boundary value problem for X must be
                 solved prior to the stage of ordinary Hartree
                 calculations. These fundamental computations are made
                 here, but the routine solution of the radial Hartree
                 equations has been omitted; instead the Stevenson
                 corrections to the total energy are estimated by
                 perturbation methods. These corrections seem just about
                 large enough to yield an electron affinity for H$^-$
                 (something not achieved by s.c.f. or variation methods
                 without polarization). However, a good deal of labor is
                 involved beyond that required for s.c.f. solutions, and
                 it is not certain that this particular method of
                 including polarization effects is to be preferred to a
                 combination of variation and s.c.f. calculations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  remark =       "From the first paragraph: ``About 15 years ago
                 Stevenson published an extension of the Hartree
                 self-consistent field (s.c.f.) equations, designed to
                 handle cases. of two electrons outside closed shells,
                 including allowance for spatial symmetry properties and
                 mutual polarization energy
                 [\cite{Stevenson:1937:GES,Stevenson:1939:MIC}]. So far
                 as the present author knows, no calculations have been
                 carried out by this method, save for some approximate
                 ones reported by Stevenson himself in a later
                 paper.'''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Boys:1954:EWFa,
  author =       "Samuel Francis Boys and V. E. Price",
  title =        "Electronic wave functions --- a calculation of eight
                 variational wave functions for {Cl}, {Cl$^-$}, {S}, and
                 {S$^-$}",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "246",
  number =       "917",
  pages =        "451--462",
  month =        jun,
  year =         "1954",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1954.0004",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Boys:1954:EWFb,
  author =       "Samuel Francis Boys and R. C. Sahni",
  title =        "Electronic wave functions --- The evaluation of the
                 general vector-coupling coefficients by automatic
                 computation",
  journal =      j-PHILOS-TRANS-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "246",
  number =       "917",
  pages =        "463--479",
  month =        jun,
  year =         "1954",
  CODEN =        "PTRMAD",
  DOI =          "https://doi.org/10.1098/rsta.1954.0005",
  ISSN =         "0080-4614 (print), 2054-0272 (electronic)",
  ISSN-L =       "0080-4614",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Transactions of the Royal Society of
                 London. Series A, Mathematical and Physical Sciences",
  journal-URL =  "http://www.jstor.org/journals/00804614.html",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Gaspar:1954:AHF,
  author =       "R. G{\'a}sp{\'a}r",
  title =        "{{\"U}ber eine Approximation des Hartree--Fockschen
                 Potentials Durch eine Universelle Potentialfunktion}.
                 ({German}) [{On} an approximation of the
                 {Hartree--Fock} potential by a universal potential
                 function]",
  journal =      j-ACTA-PHYS-ACAD-SCI-HUNG,
  volume =       "3",
  number =       "3--4",
  pages =        "263--286",
  month =        apr,
  year =         "1954",
  CODEN =        "APAHAQ",
  DOI =          "https://doi.org/10.1007/BF03156228",
  ISSN =         "0001-6705 (print), 2064-3047 (electronic)",
  ISSN-L =       "0001-6705",
  bibdate =      "Fri Jul 06 15:44:56 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib",
  note =         "In this paper, the Hartree--Fock--Slater X-$ \alpha $
                 equations \cite{Slater:1951:SHF,Slater:1972:SEC} are
                 rederived by an independent method, with the prediction
                 of a value $ \alpha = 2 / 3 $, instead of Slater's
                 original $ \alpha = 1 $. The same factor was later
                 rediscovered in independent work
                 \cite{Kohn:1965:SCE}.",
  URL =          "http://www.springerlink.com/content/w24337x7040846x5/",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta physica Academiae Scientiarum Hungaricae",
  journal-URL =  "http://link.springer.com/journal/12658",
  language =     "German",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Leigh:1954:NSD,
  author =       "Donald C. Leigh",
  title =        "Numerical Solution of a Differential Equation from
                 Fluid Dynamics",
  type =         "{Ph.D.} thesis",
  school =       "University of Cambridge",
  address =      "Cambridge, UK",
  year =         "1954",
  bibdate =      "Wed Sep 06 09:13:19 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://genealogy.math.ndsu.nodak.edu/id.php?id=140773",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  remark =       "Not found in Cambridge iDiscover or Library Hub
                 Discover catalogs, or in Proquest. No electronic copy
                 or metadata available.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Cochran:1955:UHS,
  author =       "William Cochran and A. S. Douglas",
  title =        "The use of a high-speed digital computer for the
                 direct determination of crystal structures. {I}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "227",
  number =       "1171",
  pages =        "486--500",
  month =        feb,
  year =         "1955",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1955.0025",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dwyer:1955:RNA,
  author =       "P. S. Dwyer",
  title =        "Review of {{\booktitle{Numerical Analysis}}, by D. R.
                 Hartree}",
  journal =      j-ECONOMETRICA,
  volume =       "23",
  number =       "1",
  pages =        "104--105",
  month =        jan,
  year =         "1955",
  CODEN =        "ECMTA7",
  ISSN =         "0012-9682",
  ISSN-L =       "0012-9682",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/1905587",
  acknowledgement = ack-nhfb,
  fjournal =     "Econometrica",
  journal-URL =  "http://www.jstor.org/journal/econometrica",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
  xxISSN =       "0012-9682, 1468-0262",
}

@InProceedings{Lowdin:1955:EHF,
  author =       "Per-Olov L{\"o}wdin",
  booktitle =    "Les Electrons dans les M{\'e}taux. Dixi{\`e}me
                 Conference Solvay, Bruxelles 1954",
  title =        "An Extension of the {Hartree--Fock} Method to Include
                 Correlation Effects",
  publisher =    "????",
  address =      "????",
  pages =        "71--88",
  year =         "1955",
  LCCN =         "????",
  bibdate =      "Fri Nov 17 08:25:54 2000",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lowdin:1955:QTMa,
  author =       "Per-Olov L{\"o}wdin",
  title =        "Quantum theory of many-particle systems. {I}.
                 {Physical} interpretations by means of density
                 matrices, natural spin-orbitals, and convergence
                 problems in the method of configurational interaction",
  journal =      j-PHYS-REV,
  volume =       "97",
  number =       "6",
  pages =        "1474--1489",
  day =          "15",
  month =        mar,
  year =         "1955",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.97.1474",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "81.0X",
  MRnumber =     "16,983e",
  MRreviewer =   "L. Van Hove",
  bibdate =      "Tue Dec 26 12:07:48 2000",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 MathSciNet database; nhfb-allref.bib; Zentralblatt Math
                 database",
  URL =          "http://prola.aps.org/abstract/PR/v97/i6/p1490_1",
  ZMnumber =     "065.44907",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  keywords =     "natural spin-orbitals (NSO); structure of matter",
  remark =       "See historical perspective \cite{Roos:2000:PQT}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lowdin:1955:QTMb,
  author =       "Per-Olov L{\"o}wdin",
  title =        "Quantum theory of many-particle systems. {II}. {Study}
                 of the ordinary {Hartree--Fock} approximation",
  journal =      j-PHYS-REV,
  volume =       "97",
  number =       "6",
  pages =        "1490--1508",
  day =          "15",
  month =        mar,
  year =         "1955",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.97.1490",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "81.0X",
  MRnumber =     "16,983f",
  MRreviewer =   "L. Van Hove",
  bibdate =      "Tue Dec 26 12:07:47 2000",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 MathSciNet database; nhfb-allref.bib; Zentralblatt Math
                 database",
  URL =          "http://prola.aps.org/abstract/PR/v97/i6/p1490_1",
  ZMnumber =     "065.44907",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  keywords =     "structure of matter",
  remark =       "See historical perspective \cite{Roos:2000:PQT}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lowdin:1955:QTMc,
  author =       "Per-Olov L{\"o}wdin",
  title =        "Quantum theory of many-particle systems. {III}.
                 {Extension} of the {Hartree--Fock} scheme to include
                 degenerate systems and correlation effects",
  journal =      j-PHYS-REV,
  volume =       "97",
  number =       "6",
  pages =        "1509--1520",
  day =          "15",
  month =        mar,
  year =         "1955",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.97.1509",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "81.0X",
  MRnumber =     "16,983g",
  MRreviewer =   "L. Van Hove",
  bibdate =      "Tue Dec 26 12:07:45 2000",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 MathSciNet database; nhfb-allref.bib; Zentralblatt Math
                 database",
  URL =          "http://prola.aps.org/abstract/PR/v97/i6/p1509_1",
  ZMnumber =     "065.44907",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
  keywords =     "structure of matter",
  remark =       "See historical perspective \cite{Roos:2000:PQT}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Nesbet:1955:CIO,
  author =       "R. K. Nesbet",
  title =        "Configuration interaction in orbital theories",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "230",
  number =       "1182",
  pages =        "312--321",
  month =        jun,
  year =         "1955",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1955.0134",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Nesbet:1955:EES,
  author =       "R. K. Nesbet",
  title =        "Excited electronic states of 1, 3-butadiene",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "230",
  number =       "1182",
  pages =        "322--330",
  month =        jun,
  year =         "1955",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1955.0135",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Jeffreys:1956:MMP,
  author =       "Harold Jeffreys and Bertha {Swirles Jeffreys}",
  title =        "Methods of Mathematical Physics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Third",
  pages =        "714",
  year =         "1956",
  LCCN =         "QA401 .J4 1956",
  bibdate =      "Thu Aug 17 10:48:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://en.wikipedia.org/wiki/Bertha_Swirles;
                 https://en.wikipedia.org/wiki/Harold_Jeffreys",
  acknowledgement = ack-nhfb,
  author-dates = "Sir Harold Jeffreys (22 April 1891--18 March 1989);
                 Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  remark =       "References to Douglas Hartree in",
  remark-1 =     "First edition 1946, second edition 1950, third edition
                 1956, first paperback edition 1972, reprinted 1978,
                 1980, 1988, 1992, 1999, 2001. Third edition preface is
                 dated April 1953. Second edition preface is dated 15
                 November 1948. First edition preface is dated 1946.
                 Reprinted in \cite{Jeffreys:1999:MMP}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Preface \\
                 Authors' Notes \\
                 1: The Real Variable \\
                 2: Scalars and Vectors \\
                 3: Tensors \\
                 4: Matrices \\
                 5: Multiple Integrals \\
                 6: Potential Theory \\
                 7: Operational Methods \\
                 8: Physical Applications of the Operational Method \\
                 9: Numerical Methods \\
                 10: Calculus of Variations \\
                 11: Functions of a Complex Variable \\
                 12: Contour Integration and Bromwich's Integral \\
                 13: Conformal Representation \\
                 14: Fourier's Theorem \\
                 15: The Factorial and Related Functions \\
                 16: Solution of Linear Differential Equation \\
                 17: Asymptotic Expansions \\
                 18: The Equations of Potential, Waves, and Heat
                 Conduction \\
                 19: Waves in One Dimension and Waves With Spherical
                 Symmetry \\
                 20: Conduction of Heat in One and Three Dimensions \\
                 21: Bessel Functions \\
                 22: Applications of Bessel Functions \\
                 23: The Confluent Hypergeometric Function \\
                 24: Legendre Functions and Associated Functions \\
                 25: Elliptic Functions \\
                 Notes \\
                 Appendix on Notation \\
                 Index",
}

@PhdThesis{Ridley:1956:SSA,
  author =       "E. Cecily Ridley",
  title =        "Some Studies in Atomic Structure",
  type =         "{Ph.D.} thesis",
  school =       "University of Cambridge, Newnham College",
  address =      "Cambridge, UK",
  pages =        "????",
  year =         "1956",
  bibdate =      "Wed Sep 06 06:54:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301279118",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  remark =       "No metadata or electronic copy available via ProQuest
                 or Library Hub Discover.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Cochran:1957:UHS,
  author =       "William Cochran and A. S. Douglas",
  title =        "The use of a high-speed digital computer for the
                 direct determination of crystal structures. {II}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "243",
  number =       "1233",
  pages =        "281--288",
  month =        dec,
  year =         "1957",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1957.0221",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Froese:1957:LBA,
  author =       "Charlotte Froese",
  title =        "The limiting behaviour of atomic wave functions for
                 large atomic number",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "239",
  number =       "1218",
  pages =        "311--319",
  month =        mar,
  year =         "1957",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1957.0041",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Froese:1957:SCFa,
  author =       "Charlotte Froese",
  title =        "The self-consistent field with exchange for some 10
                 and 12 electron systems",
  journal =      j-MATH-PROC-CAMB-PHILOS-SOC,
  volume =       "53",
  number =       "1",
  pages =        "206--213",
  month =        jan,
  year =         "1957",
  CODEN =        "MPCPCO",
  DOI =          "https://doi.org/10.1017/s0305004100032138",
  ISSN =         "0305-0041 (print), 1469-8064 (electronic)",
  ISSN-L =       "0305-0041",
  bibdate =      "Wed Sep 6 16:54:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Proceedings of the Cambridge
                 Philosophical Society",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PSP",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Froese:1957:SCFb,
  author =       "Charlotte Froese",
  title =        "The self-consistent field with exchange for the ground
                 state and first excited state of {Fe$^{+13}$}",
  journal =      j-MONTHLY-NOT-ROY-ASTRON-SOC,
  volume =       "117",
  number =       "6",
  pages =        "615--621",
  month =        dec,
  year =         "1957",
  CODEN =        "MNRAA4",
  DOI =          "https://doi.org/10.1093/mnras/117.6.615",
  ISSN =         "0035-8711 (print), 1365-2966 (electronic)",
  ISSN-L =       "0035-8711",
  bibdate =      "Wed Sep 06 16:58:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://academic.oup.com/mnras/article/117/6/615/2602166;
                 https://adsabs.harvard.edu/full/1957MNRAS.117..615F",
  acknowledgement = ack-nhfb,
  fjournal =     "Monthly Notices of the Royal Astronomical Society",
  journal-URL =  "https://academic.oup.com/mnras",
  received =     "29 July 1957",
}

@PhdThesis{Froese:1957:SCFc,
  author =       "Charlotte Froese",
  title =        "Self-consistent Field Calculations with Exchange",
  type =         "{Ph.D.} thesis",
  school =       "Faculty of Mathematics, University of Cambridge",
  address =      "Cambridge, UK",
  pages =        "????",
  day =          "19",
  month =        nov,
  year =         "1957",
  bibdate =      "Tue Sep 05 14:23:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Charlotte_Froese_Fischer;
                 https://en.wikipedia.org/wiki/Michael_J._Fischer;
                 https://en.wikipedia.org/wiki/Patrick_C._Fischer;
                 https://www.proquest.com/pqdtglobal/docview/301289544/",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  remark =       "ProQuest says 1958, but Cambridge iDiscover catalog
                 and Library Hub Discover say 1957. Electronic copy not
                 available online, and no page count metadata. In 1967,
                 Charlotte Froese married computer scientist Patrick C.
                 Fischer (3 December 1935--26 August 2011) and
                 henceforth used the unhyphenated family name Froese
                 Fischer in her scientific publications (source:
                 \cite[p. 1046]{FroeseFischer:2000:REC}). Her husband's
                 younger brother, Michael John Fischer (1942--), is also
                 a well-known computer scientist, who was the
                 Editor-in-Chief of the Journal of the ACM (1982--1986),
                 and is a Fellow of the ACM (1996--).",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Geltman:1957:BRC,
  author =       "Sydney Geltman",
  title =        "Book Review: {{\booktitle{The Calculation of Atomic
                 Structures}}, by Douglas R. Hartree. 181 pages, $ 6
                 \times 9 $ in. New York, John Wiley \& Sons, Inc.,
                 1957}",
  journal =      j-J-FRANKLIN-INST,
  volume =       "264",
  number =       "1",
  pages =        "69--69",
  month =        jul,
  year =         "1957",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/0016-0032(57)90859-1",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  bibdate =      "Mon Aug 14 07:49:30 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.sciencedirect.com/science/article/abs/pii/0016003257908591",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of {The Franklin Institute}",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Mayers:1957:RSC,
  author =       "D. F. Mayers",
  title =        "Relativistic self-consistent field calculation for
                 mercury",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "241",
  number =       "1224",
  pages =        "93--109",
  month =        jul,
  year =         "1957",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1957.0115",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Mulliken:1957:RCA,
  author =       "Robert S. Mulliken",
  title =        "Review of {{\booktitle{The Calculation of Atomic
                 Structures. Based on Lectures Given Under the Auspices
                 of the William Pyle Fund of Haverford College, 1955}},
                 by D. R. Hartree}",
  journal =      j-SCIENCE,
  volume =       "126",
  number =       "3275",
  pages =        "656--657",
  day =          "4",
  month =        oct,
  year =         "1957",
  CODEN =        "SCIEAS",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/1753033",
  acknowledgement = ack-nhfb,
  fjournal =     "Science",
  journal-URL =  "http://www.sciencemag.org/archive/",
  reviewed-author = "Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Wood:1957:WFE,
  author =       "J. H. Wood and G. W. Pratt",
  title =        "Wave Functions and Energy Levels for {Fe} as Found by
                 the {Unrestricted Hartree--Fock} Method",
  journal =      j-PHYS-REV-2,
  volume =       "107",
  number =       "4",
  pages =        "995--1001",
  month =        aug,
  year =         "1957",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.107.995",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Fri Jul 6 16:37:54 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.107.995",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  remark =       "This is one of the earlier calculations with the
                 Hartree--Fock--Slater method; see
                 \cite{Slater:1951:SHF,Pratt:1952:WFE}.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Blatt:1958:BRC,
  author =       "Frank J. Blatt",
  title =        "Book Review: {{\booktitle{The Calculation of Atomic
                 Structure}}, by D. R. Hartree}",
  journal =      j-AMER-J-PHYSICS,
  volume =       "26",
  number =       "2",
  pages =        "135--136",
  month =        feb,
  year =         "1958",
  CODEN =        "AJPIAS",
  DOI =          "https://doi.org/10.1119/1.1996102",
  ISSN =         "0002-9505 (print), 1943-2909 (electronic)",
  ISSN-L =       "0002-9505",
  bibdate =      "Fri Aug 04 18:44:30 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ui.adsabs.harvard.edu/abs/1958AmJPh..26..135H",
  acknowledgement = ack-nhfb,
  fjournal =     "American Journal of Physics",
  journal-URL =  "http://scitation.aip.org/content/aapt/journal/ajp",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Coulson:1958:RCA,
  author =       "C. A. Coulson",
  title =        "Review of {{\booktitle{The Calculation of Atomic
                 Structures}}, by D. R. Hartree}",
  journal =      j-SCI-PROG-RUSHDEN-UK,
  volume =       "46",
  number =       "181",
  pages =        "164--165",
  month =        jan,
  year =         "1958",
  CODEN =        "SCPRAY",
  ISSN =         "0036-8504 (print), 2047-7163 (electronic)",
  ISSN-L =       "0036-8504",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/43424681",
  acknowledgement = ack-nhfb,
  fjournal =     "Science Progress (1933--)",
  journal-URL =  "http://www.jstor.org/journal/scienceprogress",
  reviewed-author = "Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Darwin:1958:DRH,
  author =       "Charles Galton Darwin",
  title =        "{Douglas Rayner Hartree}, 1897--1958",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "4",
  pages =        "102--116",
  month =        nov,
  year =         "1958",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1958.0010",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Thu Aug 3 09:02:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1958:AECa,
  author =       "R. B. Dingle",
  title =        "Asymptotic expansions and converging factors. {I}.
                 {General} theory and basic converging factors",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "1239",
  pages =        "456--475",
  month =        apr,
  year =         "1958",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1958.0054",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1958:AECb,
  author =       "R. B. Dingle",
  title =        "Asymptotic expansions and converging factors {II}.
                 {Error}, {Dawson}, {Fresnel}, exponential, sine and
                 cosine, and similar integrals",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "1239",
  pages =        "476--483",
  month =        apr,
  year =         "1958",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1958.0055",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Dingle:1958:AECc,
  author =       "R. B. Dingle",
  title =        "Asymptotic expansions and converging factors. {III}.
                 {Gamma}, psi and polygamma functions, and
                 {Fermi--Dirac} and {Bose--Einstein} integrals",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "1239",
  pages =        "484--490",
  month =        apr,
  year =         "1958",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1958.0056",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Froese:1958:LBA,
  author =       "Charlotte Froese",
  title =        "The limiting behaviour of atomic wave functions for
                 large atomic number. {II}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "1238",
  pages =        "390--397",
  month =        mar,
  year =         "1958",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1958.0049",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  ISSN-L =       "0080-4630",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{James:1958:LLB,
  author =       "R. W. James",
  title =        "{[Letter]} to {Lawrence Bragg}",
  howpublished = "UK National Archives papers",
  day =          "23",
  month =        feb,
  year =         "1958",
  bibdate =      "Wed Aug 09 13:32:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference W. L. Bragg/57A/91. Comments on his plan to
                 visit England to lecture in Cambridge and Leeds. They
                 are getting an electron microscope in the department.
                 Arrives in England on 4 April and returns on 19 June.
                 Plans to spend some days in London. Comments on his
                 family. Was sad to hear of [Douglas] Hartree's death.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/579cea9f-05a9-4e7d-8d3b-30deb19eea9f",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Kipping:1958:CCJ,
  author =       "F. B. Kipping and W. L. Bragg",
  title =        "Correspondence concerning the {John Humphrey Plummer
                 Professorship of Mathematical Physics}; {Bragg} was
                 member of the {Advisory Committee}",
  howpublished = "UK National Archives papers",
  day =          "30",
  month =        may,
  year =         "1958",
  bibdate =      "Wed Aug 09 13:28:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Reference W. L. Bragg/38A/133. [The] death of [D.R.]
                 Hartree has created [a] vacancy in the Plummer
                 Professorship. Probable that the Chair will be
                 advertised as in ``Experimental or Theoretical
                 Physics''. Asks if Bragg would serve on the Committee
                 to advise the Council on the election.",
  URL =          "https://discovery.nationalarchives.gov.uk/details/r/39385465-572a-4e8d-8978-eb7d6bd2a89c",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lowdin:1958:GHF,
  author =       "Per-Olov L{\"o}wdin",
  title =        "Generalizations of the {Hartree--Fock} scheme",
  journal =      j-ANN-ACAD-REGIAE-SCI-UPS,
  volume =       "2",
  number =       "??",
  pages =        "127--135",
  year =         "1958",
  CODEN =        "ARUPAS",
  ISSN =         "0504-0736",
  ISSN-L =       "0504-0736",
  MRclass =      "81.00",
  MRnumber =     "22 #1375",
  MRreviewer =   "A. C. Hurley",
  bibdate =      "Thu Nov 16 11:51:44 MST 2000",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 MathSciNet database",
  URL =          "https://www.bokorder.se/en/books-2514/kungl-vetenskapssamhallets-i-uppsala-arsbok-2",
  acknowledgement = ack-nhfb,
  fjournal =     "Annales Academiae regiae scientiarum upsaliensis",
  journalabr =   "Ann. Acad. Reg. Sci. Upsal.",
  remark =       "No archives found online, but copies are for sale at
                 the URL.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Buneman:1959:DCI,
  author =       "O. Buneman",
  title =        "Dissipation of Currents in Ionized Media",
  journal =      j-PHYS-REV,
  volume =       "115",
  number =       "3",
  pages =        "503--517",
  month =        aug,
  year =         "1959",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/physrev.115.503",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Fri Sep 8 16:33:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "The destruction of electron drifts by instabilities is
                 analyzed. The fastest stable drift is calculated (drift
                 energy 0.9kT) and the energy of a faster drift is found
                 to be dissipated into instabilities within, typically,
                 30 plasma periods. The growth of a local disturbance in
                 this process is shown to take place without effective
                 propagation. The `turbulent' flow pattern created,
                 eventually, under nonlinear conditions is calculated
                 numerically, demonstrating the tendency towards
                 randomization of the initial drift energy. The effect
                 stops `runaway' in about 100 plasma periods after which
                 there is `heating' by `collective collisions'
                 instead.",
  acknowledgement = ack-nhfb,
  author-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
  fjournal =     "Physical Review",
  journal-URL =  "http://journals.aps.org/pr/issues",
  received =     "6 February 1959",
  remark =       "This is the ``founding father'' paper in particle
                 simulation of plasmas \cite[p. 23]{Buneman:1994:TOB}.",
}

@Article{Davis:1959:RNA,
  author =       "Philip J. Davis",
  title =        "Review of {{\booktitle{Numerical Analysis}}, by D. R.
                 Hartree}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "66",
  number =       "7",
  pages =        "600--601",
  month =        aug # "\slash " # sep,
  year =         "1959",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:28 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Howlett:1959:RCA,
  author =       "Jack Howlett",
  title =        "Review of {{\booktitle{The Calculation of Atomic
                 Structures}}, by D. R. Hartree}",
  journal =      j-MATH-GAZ,
  volume =       "43",
  number =       "344",
  pages =        "152--152",
  month =        may,
  year =         "1959",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  ISSN-L =       "0025-5572",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3610241",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@PhdThesis{Mayers:1959:AAC,
  author =       "David Francis Mayers",
  title =        "The Application of Automatic Computing to the
                 Calculation of Atomic Structure",
  type =         "{Ph.D.} thesis",
  school =       "University of Cambridge",
  address =      "Cambridge, UK",
  pages =        "????",
  year =         "1959",
  bibdate =      "Wed Sep 06 09:31:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://genealogy.math.ndsu.nodak.edu/id.php?id=76337",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree",
  remark =       "No metadata or electronic copy available via ProQuest,
                 or Library Hub Discover and Cambridge iDiscover
                 catalogs.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Truell:1959:RCA,
  author =       "Rohn Truell",
  title =        "Review of {{\booktitle{The calculation of atomic
                 structures}}, by D. R. Hartree}",
  journal =      j-QUART-APPL-MATH,
  volume =       "17",
  number =       "2",
  pages =        "221--221",
  month =        jul,
  year =         "1959",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569X (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/43634937",
  acknowledgement = ack-nhfb,
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  reviewed-author = "Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Article{Bareiss:1960:RCA,
  author =       "Erwin Bareiss",
  title =        "Review of {{\booktitle{The Calculation of Atomic
                 Structures}}, by D. R. Hartree}",
  journal =      j-MATH-COMPUT,
  volume =       "14",
  number =       "71",
  pages =        "304--305",
  month =        jul,
  year =         "1960",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/2003198",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  reviewed-author = "D. R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@PhdThesis{Lomax:1960:TSS,
  author =       "Ronald James Lomax",
  title =        "Transient and Steady-State Space-Charge Flow",
  type =         "{Ph.D.} thesis",
  school =       "University of Cambridge",
  address =      "Cambridge, UK",
  pages =        "????",
  year =         "1960",
  bibdate =      "Wed Sep 06 09:21:23 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://genealogy.math.ndsu.nodak.edu/id.php?id=140771;
                 https://www.proquest.com/pqdtglobal/docview/301241949",
  acknowledgement = ack-nhfb,
  advisor =      "Douglas Rayner Hartree, Oscar Buneman, and K. F.
                 Sander",
  remark =       "Not found in Library Hub Discover or Cambridge
                 iDiscover catalogs. No metadata or electronic form
                 available.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Oscar Buneman (28 September 1913--24 January
                 1993)",
}

@Article{Lowdin:1960:ETT,
  author =       "Per-Olov L{\"o}wdin",
  title =        "Expansion Theorems for the Total Wave Function and
                 Extended {Hartree--Fock} Schemes",
  journal =      j-REV-MOD-PHYS,
  volume =       "32",
  number =       "2",
  pages =        "328--334",
  month =        apr,
  year =         "1960",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.32.328",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  MRclass =      "81.00",
  MRnumber =     "22 #3509",
  MRreviewer =   "A. C. Hurley",
  bibdate =      "Tue May 22 16:36:49 MDT 2012",
  bibsource =    "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html;
                 http://rmp.aps.org/toc/RMP/v32/i2;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 https://www.math.utah.edu/pub/tex/bib/revmodphys1960.bib;
                 MathSciNet database; nhfb-allref.bib; Zentralblatt Math
                 database",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.32.328;
                 http://rmp.aps.org/abstract/RMP/v32/i2/p328_1",
  ZMnumber =     "091.23704",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
  keywords =     "structure of matter",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Grant:1961:RSC,
  author =       "Ian Philip Grant",
  title =        "Relativistic self-consistent fields",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "262",
  number =       "1311",
  pages =        "555--576",
  day =          "8",
  month =        aug,
  year =         "1961",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1961.0139",
  ISSN =         "0080-4630 (print), 2053-9169 (electronic)",
  bibdate =      "Thu Aug 17 07:20:41 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://royalsocietypublishing.org/doi/10.1098/rspa.1961.0139",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  received =     "8 March 1961",
  remark =       "See
                 \cite{Swirles:1935:RSC,SwirlesJeffreys:1987:DRH}.",
}

@Article{Beutler:1962:RFT,
  author =       "Frederick J. Beutler",
  title =        "Review of {{\booktitle{Fundamentals and Techniques of
                 Mathematics for Scientists}}, by M. M. Nicolson, D. R.
                 Hartree, and D. G. Padfield}",
  journal =      j-AM-SCI,
  volume =       "50",
  number =       "3",
  pages =        "340A--342A",
  month =        sep,
  year =         "1962",
  CODEN =        "AMSCAC",
  ISSN =         "0003-0996 (print), 1545-2786 (electronic)",
  ISSN-L =       "0003-0996",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/27838503",
  acknowledgement = ack-nhfb,
  fjournal =     "American Scientist",
  journal-URL =  "http://www.americanscientist.org/issues/past.aspx",
  reviewed-author = "M. M. Nicolson and D. R. Hartree and D. G.
                 Padfield",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Malcolm Macleod Nicolson (6 July 1919--21
                 December 1951)",
  urldate =      "2023-08-04",
}

@Article{Broadbent:1962:BRM,
  author =       "T. A. A. Broadbent",
  title =        "Book Review: {{\booktitle{Mathematical Methods for
                 Technologists Fundamentals and Techniques of
                 Mathematics for Scientists}} by M. M. Nicolson, D. R.
                 Hartree, D. G. Padfield}",
  journal =      j-MATH-GAZ,
  volume =       "46",
  number =       "358",
  pages =        "334--335",
  month =        dec,
  year =         "1962",
  CODEN =        "MAGAAS",
  DOI =          "https://doi.org/10.2307/3611798",
  ISSN =         "00255572",
  bibdate =      "Fri Aug 4 17:34:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3611798",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  reviewed-author = "M. M. Nicolson and D. R. Hartree and D. G.
                 Padfield",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Malcolm Macleod Nicolson (6 July 1919--21
                 December 1951)",
  urldate =      "2023-08-04",
}

@Article{Gates:1962:HBS,
  author =       "Sidney Barrington Gates and Alec David Young",
  title =        "{Herbert Brian Squire, 1909--1961}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "8",
  pages =        "118--135",
  month =        nov,
  year =         "1962",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1962.0009",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Wed Aug 23 08:43:35 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/biograph-memoirs-fellows-roy-soc.bib",
  URL =          "https://royalsocietypublishing.org/doi/epdf/10.1098/rsbm.1962.0009",
  acknowledgement = ack-nhfb,
  ajournal =     "Biogr. Mem. Fell. R. Soc. Lond.",
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "https://royalsocietypublishing.org/journal/rsbm;
                 https://www.jstor.org/journal/biogmemofellroya",
  published =    "01 November 1962",
}

@Article{Ahlberg:1963:RFT,
  author =       "J. H. Ahlberg",
  title =        "Review of {{\booktitle{Fundamentals and Techniques of
                 Mathematics for Scientists}}, by M. M. Nicolson}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "5",
  pages =        "583--583",
  month =        may,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/2312098",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
  reviewed-author = "M. M. Nicolson",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Malcolm Macleod Nicolson (6 July 1919--21
                 December 1951)",
  urldate =      "2023-08-04",
}

@Article{Hylleraas:1963:REQ,
  author =       "Egil A. Hylleraas",
  title =        "Reminiscences from Early Quantum Mechanics of
                 Two-Electron Atoms",
  journal =      j-REV-MOD-PHYS,
  volume =       "35",
  number =       "3",
  pages =        "421--430",
  month =        jul,
  year =         "1963",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.35.421",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Tue May 22 16:36:53 MDT 2012",
  bibsource =    "http://rmp.aps.org/toc/RMP/v35/i3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/revmodphys1960.bib",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.35.421;
                 http://rmp.aps.org/abstract/RMP/v35/i3/p421_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
}

@Unpublished{Lowdin:1963:SDH,
  author =       "P.-O. L{\"o}wdin",
  title =        "{I}. The Symmetry Dilemma in the {Hartree--Fock}
                 Scheme. {II}. Symmetry Properties of the {NSO}'s.
                 {III}. {Variation} of the Density Matrix",
  year =         "1963",
  bibdate =      "Thu Nov 16 12:07:42 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib;
                 nhfb-allref.bib",
  note =         "Sanibel Notes.",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lykos:1963:DHF,
  author =       "P. Lykos and G. W. Pratt and P.-O. L{\"o}wdin and
                 Gilda M. Harris",
  title =        "Discussion on {``The Hartree--Fock Approximation''}",
  journal =      j-REV-MOD-PHYS,
  volume =       "35",
  number =       "3",
  pages =        "496--501",
  month =        jul,
  year =         "1963",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.35.496",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Tue Dec 26 12:20:10 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Phillips:1963:BRF,
  author =       "Melba Phillips",
  title =        "Book Review: {{\booktitle{Fundamentals and Techniques
                 of Mathematics for Scientists}}, by M. M. Nicolson}",
  journal =      j-AMER-J-PHYSICS,
  volume =       "31",
  number =       "2",
  pages =        "146--146",
  month =        feb,
  year =         "1963",
  CODEN =        "AJPIAS",
  DOI =          "https://doi.org/10.1119/1.1969323",
  ISSN =         "0002-9505 (print), 1943-2909 (electronic)",
  ISSN-L =       "0002-9505",
  bibdate =      "Mon Aug 14 10:19:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See \cite{Nicolson:1962:FTM}.",
  URL =          "https://pubs.aip.org/aapt/ajp/article/31/2/146/1046715/Fundamentals-and-Techniques-of-Mathematics-for",
  acknowledgement = ack-nhfb,
  fjournal =     "American Journal of Physics",
  journal-URL =  "http://scitation.aip.org/content/aapt/journal/ajp",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Malcolm Macleod Nicolson (6 July 1919--21
                 December 1951)",
}

@Article{Thomson:1963:CGD,
  author =       "George Paget Thomson",
  title =        "{Charles Galton Darwin}, 1887--1962",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "9",
  pages =        "69--85",
  month =        nov,
  year =         "1963",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1963.0004",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Tinkham:1964:GTQ,
  author =       "Michael Tinkham",
  title =        "Group Theory and Quantum Mechanics",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "xii + 340",
  year =         "1964",
  LCCN =         "QC174.5 .T589 1964",
  bibdate =      "Sat Jul 25 13:55:27 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface / v \\
                 Introduction / 1 \\
                 1-1 The Nature of the Problem / 1 \\
                 1-2 The Role of Symmetry / 3 \\
                 2 Abstract Group Theory / 6 \\
                 2-1 Definitions and Nomenclature / 6 \\
                 2-2 Illustrative Examples / 7 \\
                 2-3 Rearrangement Theorem / 8 \\
                 2-4 Cyclic Groups / 9 \\
                 2-5 Subgroups and Cosets / 9 \\
                 2-6 Example Groups of Finite Order / 10 \\
                 2-7 Conjugate Elements and Class Structure / 12 \\
                 2-8 Normal Divisors and Factor Groups / 13 \\
                 2-9 Class Multiplication / 15 \\
                 Exercises / 16 \\
                 References / 17 \\
                 3 Theory of Group Representations / 18 \\
                 3-1 Definitions / 18 \\
                 3-2 Proof of the Orthogonality Theorem / 20 \\
                 3-3 The Character of a Representation / 25 \\
                 3-4 Construction of Character Tables / 28 \\
                 3-5 Decomposition of Reducible Representations / 29 \\
                 3-6 Application of Representation Theory in Quantum
                 Mechanics / 31 \\
                 3-7 Illustrative Representations of Abelian Groups / 37
                 \\
                 3-8 Basis Functions for Irreducible Representations /
                 39 \\
                 3-9 Direct-product Groups / 43 \\
                 3-10 Direct-product Representations within a Group / 46
                 \\
                 Exercises / 47 \\
                 References / 48 \\
                 4 Physical Applications of Group Theory / 50 \\
                 4-1 Crystal-symmetry Operators / 51 \\
                 4-2 The Crystallographic Point Groups / 54 \\
                 4-3 Irreducible Representations of the Point Groups /
                 62 \\
                 4-4 Elementary Representations of the Three-dimensional
                 Rotation Group / 65 \\
                 4-5 Crystal-field Splitting of Atomic Energy Levels /
                 67 \\
                 4-6 Intermediate Crystal-field-splitting Case / 69 \\
                 4-7 Weak-crystal-field Case and Crystal Double Groups /
                 75 \\
                 4-8 Introduction of Spin Effects in the Medium-field
                 Case / 78 \\
                 4-9 Group-theoretical Matrix-element Theorems / 80 \\
                 4-10 Selection Rules and Parity / 82 \\
                 4-11 Directed Valence / 87 \\
                 4-12 Application of Group Theory to Directed Valence /
                 89 \\
                 Exercises / 92 \\
                 References / 93 \\
                 5 Full Rotation Group and Angular Momentum / 94 \\
                 5-1 Rotational Transformation Properties and Angular
                 Momentum / 94 \\
                 5-2 Continuous Groups / 98 \\
                 5-3 Representation of Rotations through Eulerian Angles
                 / 101 \\
                 5-4 Homomorphism with the Unitary Group / 103 \\
                 5-5 Representations of the Unitary Group / 106 \\
                 5-6 Representation of the Rotation Group by
                 Representations of the Unitary Group / 109 \\
                 5-7 Application of the Rotation-representation Matrices
                 / 111 \\
                 5-8 Vector Model for Addition of Angular Momenta / 115
                 \\
                 5-9 The Wigner or Clebsch--Gordan Coefficients / 117
                 \\
                 5-10 Notation, Tabulations, and Symmetry Properties of
                 the Wigner Coefficients / 121 \\
                 5-11 Tensor Operators / 124 \\
                 5-12 The Wigner--Eckart Theorem / 131 \\
                 5-13 The Racah Coefficients / 133 \\
                 5-14 Application of Racah Coefficients / 137 \\
                 5-15 The Rotation--Inversion Group / 139 \\
                 5-16 Time-reversal Symmetry / 141 \\
                 5-17 More General Invariances / 147 \\
                 Exercises / 151 \\
                 References / 153 \\
                 6 Quantum Mechanics of Atoms / 154 \\
                 6-1 Review of Elementary Atomic Structure and
                 Nomenclature / 155 \\
                 6-2 The Hamiltonian / 157 \\
                 6-3 Approximate Eigenfunctions / 157 \\
                 6-4 Calculation of Matrix Elements between
                 Determinantal Wavefunctions / 162 \\
                 6-5 Hartree--Fock Method / 167 \\
                 6-6 Calculation of L-S-term Energies / 170 \\
                 6-7 Evaluation of Matrix Elements of the Energy / 173
                 \\
                 6-8 Eigenfunctions and Angular-momentum Operations /
                 178 \\
                 6-9 Calculation of Fine Structure / 181 \\
                 6-10 Zeeman Effect / 188 \\
                 6-11 Magnetic Hyperfine Structure / 193 \\
                 6-12 Electric Hyperfine Structure / 201 \\
                 Exercises / 206 \\
                 References / 208 \\
                 7 Molecular Quantum Mechanics / 210 \\
                 7-1 Born--Oppenheimer Approximation / 210 \\
                 7-2 Simple Electronic Eigenfunctions / 213 \\
                 7-3 Irreducible Representations for Linear Molecules /
                 216 \\
                 7-4 The Hydrogen Molecule / 219 \\
                 7-5 Molecular Orbitals / 220 \\
                 7-6 Heitler--London Method / 223 \\
                 7-7 Orthogonal Atomic Orbitals / 226 \\
                 7-8 Group Theory and Molecular Orbitals / 227 \\
                 7-9 Selection Rules for Electronic Transitions / 233
                 \\
                 7-10 Vibration of Diatomic Molecules / 234 \\
                 7-11 Normal Modes in Polyatomic Molecules / 238 \\
                 7-12 Group Theory and Normal Modes / 242 \\
                 7-13 Selection Rules for Vibrational Transitions / 248
                 \\
                 7-14 Molecular Rotation / 250 \\
                 7-15 Effect of Nuclear Statistics on Molecular Rotation
                 / 252 \\
                 7-16 Asymmetric Rotor / 255 \\
                 7-17 Vibration--Rotation Interaction / 257 \\
                 7-18 Rotation--Electronic Coupling / 260 \\
                 Exercises / 264 \\
                 References / 266 \\
                 8 Solid-state Theory / 267 \\
                 8-1 Symmetry Properties in Solids / 267 \\
                 8-2 The Reciprocal Lattice and Brillouin Zones / 270
                 \\
                 8-3 Form of Energy-band Wavefunctions / 275 \\
                 8-4 Crystal Symmetry and the Group of the $k$ Vector /
                 279 \\
                 8-5 Pictorial Consideration of Eigenfunctions / 281 \\
                 8-6 Formal Consideration of Degeneracy and
                 Compatibility / 284 \\
                 8-7 Group Theory and the Plane-wave Approximation / 290
                 \\
                 8-8 Connection between Tight- and Loose-binding
                 Approximations / 293 \\
                 8-9 Spin-orbit Coupling in Band Theory / 295 \\
                 8-10 Time Reversal in Band Theory / 297 \\
                 8-11 Magnetic Crystal Groups / 299 \\
                 8-12 Symmetries of Magnetic Structures / 303 \\
                 8-13 The Landau Theory of Second-order Phase
                 Transitions / 309 \\
                 8-14 Irreducible Representations of Magnetic Groups /
                 311 \\
                 Exercises / 313 \\
                 References / 315 \\
                 Appendix A Review of Vectors, Vector Spaces, and
                 Matrices / 317 \\
                 B Character Tables for Point-symmetry Groups / 323 \\
                 C Tables of $c^k$ and $a^k$ Coefficients for $s$, $p$,
                 and $d$ Electrons / 331 \\
                 Index / 335",
  xxISBN =       "none",
}

@Article{Kohn:1965:SCE,
  author =       "W. Kohn and L. J. Sham",
  title =        "Self-Consistent Equations Including Exchange and
                 Correlation Effects",
  journal =      j-PHYS-REV-2,
  volume =       "140",
  number =       "4A",
  pages =        "A1133--A1138",
  month =        nov,
  year =         "1965",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.140.A1133",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Fri Jul 6 15:52:23 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib",
  note =         "The authors of this paper rediscover an earlier result
                 \cite{Gaspar:1954:AHF}, and obtain the same value $
                 \alpha = 2 / 3 $, compared to Slater's original $
                 \alpha = 1 $ \cite{Slater:1951:SHF,Slater:1972:SEC}.",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.140.A1133;
                 http://www.nobelprize.org/nobel_prizes/chemistry/laureates/1998/",
  abstract =     "From a theory of Hohenberg and Kohn, approximation
                 methods for treating an inhomogeneous system of
                 interacting electrons are developed. These methods are
                 exact for systems of slowly varying or high density.
                 For the ground state, they lead to self-consistent
                 equations analogous to the Hartree and Hartree--Fock
                 equations, respectively. In these equations the
                 exchange and correlation portions of the chemical
                 potential of a uniform electron gas appear as
                 additional effective potentials. (The exchange portion
                 of our effective potential differs from that due to
                 Slater by a factor of 2/3.) Electronic systems at
                 finite temperatures and in magnetic fields are also
                 treated by similar methods. An appendix deals with a
                 further correction for systems with short-wavelength
                 density oscillations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
  remark =       "Walter Kohn shared the 1998 Nobel Prize in Chemistry
                 with John A Pople ``for his development of the
                 density-functional theory'' [Kohn] and ``for his
                 development of computational methods in quantum
                 chemistry'' [Pople].",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lehmer:1966:MM,
  author =       "D. H. Lehmer",
  title =        "Mechanized mathematics",
  journal =      j-BULL-AMS,
  volume =       "72",
  number =       "5",
  pages =        "739--750",
  year =         "1966",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0002-9904-1966-11553-7",
  ISSN =         "0002-9904 (print), 1936-881x (electronic)",
  ISSN-L =       "0002-9904",
  MRclass =      "DML",
  MRnumber =     "1566405",
  bibdate =      "Sat Jan 29 08:01:54 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  remark =       "This is the thirty-eighth Josiah Willard Gibbs lecture
                 delivered before the Annual Meeting of the Society in
                 Denver on Tuesday Janary 26, 1965. Douglas Hartree is
                 mentioned twice, both on page 742.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Unz:1966:DBQ,
  author =       "H. Unz",
  title =        "On the derivation of {Booker}'s quartic from
                 {Appleton--Hartree} equation",
  journal =      j-PROC-IEEE,
  volume =       "54",
  number =       "2",
  pages =        "304--304",
  month =        feb,
  year =         "1966",
  CODEN =        "IEEPAD",
  DOI =          "https://doi.org/10.1109/PROC.1966.4658",
  ISSN =         "0018-9219 (print), 1558-2256 (electronic)",
  ISSN-L =       "0018-9219",
  bibdate =      "Sat Aug 5 08:24:12 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the IEEE",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Slater:1972:SEC,
  author =       "John C. Slater",
  title =        "Statistical Exchange-Correlation in the
                 Self-Consistent Field",
  journal =      j-ADV-QUANTUM-CHEM,
  volume =       "6",
  pages =        "1--92",
  year =         "1972",
  CODEN =        "AQCHA9",
  DOI =          "https://doi.org/10.1016/S0065-3276(08)60541-9",
  ISSN =         "0065-3276",
  ISSN-L =       "0065-3276",
  bibdate =      "Thu Oct 13 11:45:04 MDT 2011",
  bibsource =    "http://www.sciencedirect.com/science/bookseries/00653276;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib;
                 https://www.math.utah.edu/pub/tex/bib/advquantumchem.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib; OCR
                 scan conversion",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0065327608605419",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Quantum Chem.",
  author-dates = "John Clarke Slater (1900--1976)",
  fjournal =     "Advances in Quantum Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/bookseries/00653276",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "I. The Derivation of the X$\alpha$ Self-Consistent
                 Method by Variations 1 \\
                 II. Common Misconceptions Regarding the Statistical
                 Exchange-Correlation 6 \\
                 III. Specific Advantages of the X$\alpha$ Method. Total
                 Energy and Value of $\alpha$ 10 \\
                 IV. The X$\alpha$ Method and the Fermi Statistics 12
                 \\
                 V. The Hyper-Hartree--Fock Method 15 \\
                 VI. Comparison of the X$\alpha$ and HHF Methods 19 \\
                 VII. Energy of an Atom as a Function of Occupation
                 Numbers 21 \\
                 VIII. Computation of Unrelaxed Second Derivatives by
                 the X$\alpha$ and HHF Methods 26 \\
                 IX. Optical Absorption and the Transition State 30 \\
                 X. Band Absorption versus Localized Absorption in
                 Crystals 32 \\
                 XI. The X$\alpha$ Method and Magnetic Problems 37 \\
                 Key to the References 42 \\
                 References 48",
}

@Article{Coulson:1973:SFB,
  author =       "C. A. (Charles Alfred) Coulson",
  title =        "{Samuel Francis Boys}, 1911--1972",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "19",
  pages =        "94--115",
  month =        dec,
  year =         "1973",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1973.0004",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Sat Aug 12 07:10:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "From the introduction: ``Samuel Francis Boys (`Frank'
                 to all his friends, most of whom had no idea that this
                 was not his proper Christian name) was born on 20
                 December 1911 in the Yorkshire town of Pudsey, and died
                 in a nursing home in Cambridge on 16 October 1972, in
                 his sixty-first year.''",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Desclaux:1973:RDF,
  author =       "J. P. Desclaux",
  title =        "Relativistic {Dirac--Fock} expectation values for
                 atoms with {$ Z = 1 $} to {$ Z = 120 $}",
  journal =      j-AT-DATA-NUCL-DATA-TABLES,
  volume =       "12",
  number =       "4",
  pages =        "311--406",
  year =         "1973",
  CODEN =        "ADNDAT",
  DOI =          "https://doi.org/10.1016/0092-640x(73)90020-x",
  ISSN =         "0092-640X (print), 1090-2090 (electronic)",
  ISSN-L =       "0092-640X",
  bibdate =      "Mon Aug 7 18:00:38 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.sciencedirect.com/science/article/abs/pii/0092640X7390020X",
  acknowledgement = ack-nhfb,
  fjournal =     "Atomic Data and Nuclear Data Tables",
  journal-URL =  "https://www.sciencedirect.com/journal/atomic-data-and-nuclear-data-tables",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Altmann:1974:CAC,
  author =       "S. L. Altmann and Edmund John Bowen",
  title =        "{Charles Alfred Coulson}, 1910--1974",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "20",
  pages =        "74--134",
  month =        dec,
  year =         "1974",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1974.0004",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Sat Aug 12 07:16:21 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "Charles Coulson used to say that he had led not one
                 life but two or three: as a scientist he straddled
                 physics, chemistry and mathematics, in all of which he
                 occupied academic positions during his career --- and
                 his contributions to biology were not negligible. Also,
                 during a good part of his life he devoted almost as
                 much attention to religion as to science and, yet
                 again, there was the public figure active in numerous
                 charitable pursuits. Many-sided as Charles Coulson's
                 life was, no picture of the man would be true that did
                 not convey the essential unity of everything he did ---
                 concern being perhaps the key word to describe the
                 common strand that ran through all his works. To
                 describe them and the man is thus not an easy task.",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  remark-1 =     "The last sentence says: ``Manuscripts, letters,
                 working papers and a collection of minor works have
                 been deposited at the Bodleian Library, Oxford.''",
  remark-2 =     "Although there are 16 mentions of Hartree and
                 Hartree--Fock is memoir, there is nothing about Douglas
                 Hartree himself.",
  subject-dates = "Charles Alfred Coulson (13 December 1910--7 January
                 1974); Douglas Rayner Hartree (27 March 1897--12
                 February 1958)",
}

@Article{Anonymous:1974:VFD,
  author =       "Anonymous",
  title =        "{Vladimir Fok} Dies; {Soviet} Physicist, 76",
  journal =      j-NY-TIMES,
  volume =       "??",
  number =       "??",
  pages =        "33--33",
  day =          "29",
  month =        dec,
  year =         "1974",
  CODEN =        "NYTIAO",
  ISSN =         "0362-4331 (print), 1542-667X, 1553-8095",
  ISSN-L =       "0362-4331",
  bibdate =      "Sat Aug 12 07:24:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.nytimes.com/1974/12/29/archives/vladimir-fok-dies-soviet-physicist-76.html",
  acknowledgement = ack-nhfb,
  fjournal =     "New York Times",
  journal-URL =  "http://www.nytimes.com/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Feler:1974:CEL,
  author =       "M. Guy Feler",
  title =        "Calculation of Eigenvectors of Large Matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "14",
  number =       "4",
  pages =        "341--349",
  month =        mar,
  year =         "1974",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(74)90017-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:13 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999174900175",
  abstract =     "A method of calculating eigenvectors by variance
                 minimization is presented. The procedure of adjusting
                 sequentially each component of a trial vector is
                 discussed and it is shown that variance minimization
                 and the MOR method both generate an approximate
                 subspace of the true eigenspace. Procedure to deal with
                 this subspace are given which both improve the MOR
                 method and make the method of variance minimization
                 suitable for obtaining non-extremal eigenvalues and
                 eigenvectors of matrices with nearly degenerate
                 eigenvalues.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Reinhold:1974:DVB,
  author =       "Robert Reinhold",
  title =        "{Dr. Vannevar Bush} Is Dead at 84: {Dr. Vannevar
                 Bush}, Who Marshaled Nation's Wartime Technology and
                 Ushered in Atomic Age, Is Dead at 84 Son of a Minister;
                 An Abiding Optimism; Five Arduous Years; 60-Year
                 Career; Equipment Outdated Companies; Successful Award
                 From {A.E.C.}; Secret Work on {U-235}",
  journal =      j-NY-TIMES,
  volume =       "??",
  number =       "??",
  pages =        "1, 36",
  day =          "30",
  month =        jun,
  year =         "1974",
  CODEN =        "NYTIAO",
  ISSN =         "0362-4331 (print), 1542-667X, 1553-8095",
  ISSN-L =       "0362-4331",
  bibdate =      "Mon Aug 07 10:58:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.proquest.com/hnpnewyorktimes/docview/120125242/",
  acknowledgement = ack-nhfb,
  fjournal =     "New York Times",
  journal-URL =  "http://www.nytimes.com/",
  remark-1 =     "From the article: ``[Bush] was widely credited
                 \ldots{} with establishing a system of national support
                 for basic scientific research that has since made
                 American science the most vigorous and productive in
                 the world. Van Bush, as he was almost universally
                 called --- ``presumably because they cannot pronounce
                 my full name'', he once said (it was pronounced
                 VAN-ee-var) \ldots{}''",
  remark-2 =     "From the article: ``One of his most important
                 developments was an analytical machine to predict the
                 performance of electric circuits, a device that saved
                 hundreds of hours of calculations. Later, he built a
                 differential analyzer, a 100-ton [blurred in PDF file]
                 machine capable of solving differential equations with
                 as many as 18 variables. Used in atomic physics,
                 acoustics, ballistics, and other fields, this machine
                 was the direct antecedent of the modern analog
                 computer.''",
  remark-3 =     "From the article: ``It is estimated that two-thirds of
                 all the physicists in the United States were working
                 for Dr. Bush.''",
  remark-4 =     "From the article: ``[Bush] prepared, at the
                 President's request, recommendations on ways in which
                 the wartime lessons could be applied to peace. The
                 result was `Science, the Endless Frontier', a report
                 that urged heavy Federal support for basic research.
                 The concept was eventually molded into the National
                 Science Foundation.''",
  remark-5 =     "Although Douglas Hartree is not mentioned in this
                 obituary, nor, it seems, elsewhere in the New York
                 Times historical archive (1851--date), it was Hartree's
                 visit to Bush's group at MIT in the early 1930s that
                 led Hartree to introduce differential analyzers to
                 Britain.",
  subject-dates = "Vannevar Bush (11 March 1890--28 June 1974)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Veselov:1975:PVA,
  author =       "M. G. Veselov and P. L. Kapitza and M. A. Leontovich",
  title =        "Personalia: {Vladimir Aleksandrovich Fock}
                 (obituary)",
  journal =      j-SOV-PHYS-USP,
  volume =       "18",
  number =       "10",
  pages =        "840--841",
  month =        oct,
  year =         "1975",
  CODEN =        "SOPUAP",
  DOI =          "https://doi.org/10.1070/PU1975v018n10ABEH005231",
  ISSN =         "0038-5670 (print), 2169-5296 (electronic)",
  ISSN-L =       "0038-5670",
  bibdate =      "Sat Aug 12 07:30:21 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Original Russian version in Uspekhi Fizicheskikh Nauk
                 {\bf 117}, 375--376 (October 1975).",
  URL =          "https://iopscience.iop.org/article/10.1070/PU1975v018n10ABEH005231/pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Physics. Uspekhi",
  journal-URL =  "http://iopscience.iop.org/0038-5670",
  subject-dates = "27 December 1891--27 December 1974",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{FroeseFischer:1977:HFM,
  author =       "Charlotte {Froese Fischer}",
  title =        "The {Hartree--Fock} Method for Atoms: a Numerical
                 Approach",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xi + 308",
  year =         "1977",
  ISBN =         "0-471-25990-X",
  ISBN-13 =      "978-0-471-25990-9",
  LCCN =         "QC173.F527",
  bibdate =      "Sat Jul 25 13:55:27 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Part A: Theory and Results / 1 \\
                 1: The Hartree--Fock Approach / 3 \\
                 1-1 Introduction / 3 \\
                 1-2 The Variational Principle / 7 \\
                 1-3 The Hartree--Fock Approximation / 8 \\
                 1-4 Various Hartree--Fock Approximations / 13 \\
                 2: The Single-Configuration Hartree--Fock Approximation
                 / 17 \\
                 2-1 The Hartree--Fock Equations / 17 \\
                 2-1.1 Energy Expression / 17 \\
                 2-1.2 Derivation of Hartree--Fock Equations / 20 \\
                 2-1.3 Unique Solutions of Hartree--Fock Equations / 26
                 \\
                 2-2 Hartree--Fock Results for Ground-State or Near
                 Ground-State Configurations of the Atoms He to Rn / 27
                 \\
                 2-3 The Energy Parameters $\epsilon_{nl,nl}$ / 94 \\
                 2-4 The Asymptotic Form of the Radial Functions / 102
                 \\
                 2-5 Brillouin's Theory / 104 \\
                 2-5.1 The Importance of Brillouin's Theorem / 104 \\
                 2-5.2 The Intermediate State Function
                 $\Phi_{\gamma^\ast}$ / 105 \\
                 2-5.3 Derivation of Brillouin's Theorem / 108 \\
                 2-6 The Nonorthogonal and Extended Hartree--Fock
                 Approximation / 111 \\
                 2-7 The Fixed-Core Approximation / 114 \\
                 3: Correlation in Many-Electron Systems / 117 \\
                 3-1 Electron Correlation / 117 \\
                 3-2 The $Z$-Dependent Perturbation Expansion / 118 \\
                 3-3 The Structure of $|1>$ / 119 \\
                 3-4 $Z$-Dependent Expansion of $\Phi^{\rm NHF}(\gamma L
                 S)$ / 126 \\
                 3-5 $Z$-Dependent Expansion of $\Phi^{\rm HF}(\gamma L
                 S)$ / 128 \\
                 3-6 An MCHF Approximation with $E^{\rm MCHF} = E_1$ /
                 130 \\
                 3-7 The Separated-Pair Approximation / 136 \\
                 3-8 The Reduced Form of a Pair-Correlation Function /
                 141 \\
                 3-9 The Separated-Pair MCHF Procedure / 146 \\
                 3-10 Some Practical Considerations / 146 \\
                 3-11 Related Theories / 148 \\
                 4: The MCHF Equations and Results / 150 \\
                 4-1 The Energy Expression / 150 \\
                 4-2 The MCHF Equations / 153 \\
                 4-3 The Diagonal Energy Parameter / 159 \\
                 4-4 MCHF Results for Two-Electron Systems / 163 \\
                 4-4.1 The $1s^2$ $^1S$ state / 163 \\
                 4-4.2 The $1s2s$ $^1S$ state / 168 \\
                 4-4.3 The $1s2s$ $^3S$ state / 172 \\
                 4-4.4 The $1s2p$ $^1P$ and $^3P$ states / 173 \\
                 4-4.5 The $1s3d$ $^1D$ and $^3D$ states / 176 \\
                 4-4.6 Accuracy of Atomic Properties for Two-Electron
                 Systems / 176 \\
                 4-5 A Separated-Pair Correlation Study of Li / 180 \\
                 4-6 A Separated-Pair Correlation Study of Be / 186 \\
                 4-7 Splitting of Orbitals / 190 \\
                 5: Ab Initio Determination of Atomic Properties / 196
                 \\
                 5-1 Introduction / 196 \\
                 5-2 Ionization Potentials / 197 \\
                 5-3 Electron Affinities / 199 \\
                 5-4 Transition Probabilities / 202 \\
                 5-5 Hyperfine Structure Constants / 208 \\
                 5-6 Isomer Shift Calibration Constant / 213 \\
                 5-7 General Remarks / 214 \\
                 References / 215 \\
                 Part B: Numerical Solution of Hartree--Fock Equations /
                 219 \\
                 6: General Numerical Procedures / 221 \\
                 6-1 Introduction / 221 \\
                 6-2 The Logarithmic Variable / 223 \\
                 6-3 Finite Differences and Interpolating Polynomials /
                 226 \\
                 6-4 Numerical Integration and Differentiation / 228 \\
                 6-5 The Functions $Y^k(i, i'; r)$ / 231 \\
                 6-6 Solution of the Radial Equation $y'' = F(x) y +
                 G(x)$ / 237 \\
                 6-6.1 The Discretized Approximation / 240 \\
                 6-6.2 Methods for Solving the Discretized Boundary
                 Value Problem / 242 \\
                 6-6.2.1 Direct Method of Solution / 242 \\
                 6-6.2.2 The Shooting Method / 245 \\
                 6-6.2.3 A Combined ``Shooting-Direct'' Method / 249 \\
                 6-6.3 The Boundary Condition of Infinity / 251 \\
                 6-6.4 Other Methods of Solution / 254 \\
                 6-7 Solution of the Integrodifferential Equation / 258
                 \\
                 6-8 The Generalized Eigenvalue Problem / 261 \\
                 6-8.1 Eigenvalue Problems in Quantum Mechanics / 261
                 \\
                 6-8.2 Methods of Solution / 263 \\
                 6-8.2.1 Zero-Finding Methods / 263 \\
                 6-8.2.2 Inverse Iteration / 268 \\
                 6-9 Accuracy of Numerical Procedures for Hydrogen / 270
                 \\
                 7: Numerical Solution of the MCHF Problem / 274 \\
                 7-1 Introduction / 274 \\
                 7-2 Initial Estimates / 276 \\
                 7-3 Off-Diagonal Energy Parameters / 280 \\
                 7-4 Improvement of the Radial Functions / 283 \\
                 7-4.1 Method 1 (M1) / 284 \\
                 7-4.2 Method 2 (M2) / 286 \\
                 7-4.3 Search for an Acceptable Solution / 290 \\
                 7-4.4 Comparison of M1 and M2 / 292 \\
                 7-4.5 The Order of Improvement / 296 \\
                 7-5 Orthogonalization / 296 \\
                 7-6 Solution of the Secular Equation / 297 \\
                 7-7 Test for Convergence / 297 \\
                 References / 302 \\
                 Appendix: Atomic Structure Programs / 299 \\
                 Index / 305",
}

@Article{Grant:1979:RAS,
  author =       "I. P. Grant",
  title =        "Relativistic atomic structure calculations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "17",
  number =       "1--2",
  pages =        "149--161",
  month =        apr # "\slash " # may,
  year =         "1979",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(79)90077-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 06:01:25 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465579900778",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Phillips:1979:WLB,
  author =       "David Chilton Phillips",
  title =        "{William Lawrence Bragg, 31 March 1890--1 July 1971}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "25",
  pages =        "74--143",
  month =        nov,
  year =         "1979",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.1979.0003",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Thu Aug 17 08:53:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://doi.org/10.1098/rsbm.1979.0003",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  remark =       "From page 98: ``In 1925, D. R. Hartree, who was then
                 at Cambridge but soon afterwards became a close
                 colleague as Professor of Applied Mathematics in
                 Manchester, calculated promising atomic scattering
                 factors ($f$-curves) based on the Bohr-orbit model of
                 the atom and, stimulated by the need for better
                 $f$-curves in crystal-structure analysis, he went on to
                 devise the method of the self-consistent field.
                 Recognizing the importance of this work at any early
                 stage, Bragg (33) laid down the criterion that has
                 guided all subsequent structure analysts: `The
                 structure which leads to the best agreement between
                 observed and calculated values [of the X-ray
                 intensities] is chosen as the closest approximation to
                 the truth.'\,''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Ando:1982:EPT,
  author =       "Tsuneya Ando and Alan B. Fowler and Frank Stern",
  title =        "Electronic properties of two-dimensional systems",
  journal =      j-REV-MOD-PHYS,
  volume =       "54",
  number =       "2",
  pages =        "437--672",
  month =        apr,
  year =         "1982",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/revmodphys.54.437",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.54.437",
  abstract =     "The electronic properties of inversion and
                 accumulation layers at semiconductor--insulator
                 interfaces and of other systems that exhibit
                 two-dimensional or quasi-two-dimensional behavior, such
                 as electrons in semiconductor heterojunctions and
                 superlattices and on liquid helium, are reviewed.
                 Energy levels, transport properties, and optical
                 properties are considered in some detail, especially
                 for electrons at the (100)silicon--silicon dioxide
                 interface. Other systems are discussed more briefly",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
  remark =       "This 236-page review contains 92 mentions of
                 Hartree.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Lindsay:1985:IARa,
  author =       "Robert Bruce Lindsay",
  title =        "Intellectual autobiography of {R. B. Lindsay}: {Part
                 I}",
  howpublished = "Niels Bohr Library Archive manuscript",
  pages =        "104",
  year =         "1985",
  bibdate =      "Mon Aug 14 10:10:06 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://repository.aip.org/islandora/object/nbla:283933",
  acknowledgement = ack-nhfb,
  remark-1 =     "From pp. 64--65: ``Bohr was generous in giving
                 conference time to me to try to explain the
                 possibilities of the calculations he wanted me to do.
                 As a result of all this reading and discussion, there
                 began to dawn on me the notion of representing the
                 screening effect of the inner electron groups on the
                 outer ones in terms of continuous distributions of
                 negative charge calculated by solving the time equation
                 of the orbital motion, i.e., finding the average time
                 spent by each electron in any spherical shell at a
                 given distance from the nucleus. From this one was
                 rather naturally led to endeavor to find such
                 distributions of charge as would lead to quantized
                 orbits which in turn were consistent with the charge
                 distribution which produced them. Thus arose the
                 concept of self-consistency, which so far as I was
                 aware had not been suggested or used by any theoretical
                 atomic investigator at that time. It is of course
                 impossible to prove that Bohr did not himself suggest
                 it to me directly or indirectly. \ldots{} My scheme,
                 however, crude though it may have been, made no use of
                 empirical data from spectroscopy or any other source.
                 To me the matter is of some importance, since
                 ultimately D. R. Hartree applied the scheme to the
                 quantum mechanical evaluation of atomic fields under
                 the title ``self-consistent field'' method. In one of
                 his early papers on this subject Hartree gave me credit
                 for making calculations based fundamentally on the idea
                 adopted, and other writers since, notably J. C. Slater,
                 have mentioned my contribution, but have implied that
                 there was a lot of other work of similar description
                 going on at that time. I believe, however, that the
                 story as I have stated it is correct. The obvious
                 question to raise here is why I did not myself follow
                 up the self-consistent idea in quantum mechanics. I
                 shall wait to discuss this in connection with the
                 beginning of my professional academic career after I
                 returned to the United States in 1923.''",
  remark-2 =     "From pp. 86--87: ``I found the Heisenberg matrix
                 calculus puzzling, as my background in algebra did not
                 include much on this type of symbolism. I could
                 appreciate Schr{\"o}dinger's work better since it
                 involved the wave equation which I was probing in the
                 acoustics class. What I did not at all see was how this
                 new point of view could be applied to polyelectronic
                 atoms, and here of course I missed my golden
                 opportunity, for this was just waiting to fall into
                 someone's lap. What happened was that D. R. Hartree in
                 Manchester in England took it up and showed how the
                 self-consistent field idea could be translated into
                 quantum mechanical terms or more specifically into wave
                 mechanical language. In 1928 he began to publish a
                 series of elaborate papers which continued for many
                 years. The question arises, why had I not seized this
                 opportunity independently? \par

                 The answer is a relatively simple one. I did not know
                 enough about the manipulation of partial differential
                 equations to see how the Schrodinger wave equation
                 could be solved by numerical means for a potential
                 energy function represented only by a table of
                 numerical values. I realize that this is a poor excuse.
                 The natural thing would have been to go to an applied
                 mathematician to ask him how the problem should be
                 tackled and in particular how one could proceed to
                 match a numerical solution proceeding out from the
                 origin with a similar solution proceeding in from
                 infinity. The fact remains that there were few applied
                 mathematicians in the modern sense in the United States
                 at that time.''",
  remark-3 =     "From pp. 87--88: ``Another obvious trouble was that it
                 took me a long time really to understand how. the new
                 Schrodinger point of view worked, since I had never had
                 the eigenvalue problem pounded into me in any
                 mathematics course. Hartree with his Cambridge
                 mathematics training had this at his finger tips. Well,
                 these are vain regrets, but they are regrets all the
                 same and represent keen realization of my genuine
                 shortcomings as a physicist. As matters turned out and
                 as will be related in due course, I did later supervise
                 the Ph.D. thesis work of several able graduate students
                 on the evaluation of Hartree wave functions.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Lindsay:1985:IARb,
  author =       "Robert Bruce Lindsay",
  title =        "Intellectual autobiography of {R. B. Lindsay}: {Part
                 II}",
  howpublished = "Niels Bohr Library Archive manuscript",
  pages =        "117",
  year =         "1985",
  bibdate =      "Mon Aug 14 10:10:06 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://repository.aip.org/islandora/object/nbla:284038",
  acknowledgement = ack-nhfb,
  remark- =      "From p. 129: ``I had followed with some care the
                 program which D. R, Hartree had inaugurated for the
                 calculation of atomic wave functions by the method of
                 the self-consistent field. My own research concern over
                 this on its earlier stages has already been mentioned
                 earlier, I now corresponded with Hartree, who very
                 generously gave me complete directions about carrying
                 out the numerical integration of the Schrodinger
                 equation for polyelectronic atoms, and suggested that I
                 might guide some graduate students through such
                 calculations, He wrote very voluminously about his own
                 computations and gave many useful hints.''",
  remark-2 =     "From p. 150: ``I decided to apply for a Guggenheim
                 fellowship for 1936-37 and made careful plans for this,
                 consulting Professor Hartree in Manchester with whom I
                 wished to work on self-consistent field calculations.
                 \ldots{} However, all this effort was doomed to
                 disappointment, as my application was rejected.",
  remark-3 =     "From page 151: about Lindsay's stay at Imperial
                 College in London in the first half of January--August
                 1937: ``The original plan of going to work with Hartree
                 in Manchester was revised and we decided to spend the
                 second semester in London where I could work at the
                 Imperial College of Science and Technology of the
                 University of London.''",
  remark-4 =     "From p. 156, ``In fact we had no social relations with
                 any of the British professoriate save the Hartrees.''",
  remark-5 =     "From p. 158: ``Professor Hartree kindly invited us to
                 Manchester, and we spent a week there in May
                 preparatory to our departure from England.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{Lindsay:1985:IARc,
  author =       "Robert Bruce Lindsay",
  title =        "Intellectual autobiography of {R. B. Lindsay}: {Part
                 III}",
  howpublished = "Niels Bohr Library Archive manuscript",
  pages =        "94",
  year =         "1985",
  bibdate =      "Mon Aug 14 10:10:06 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://repository.aip.org/islandora/object/nbla:284266",
  acknowledgement = ack-nhfb,
  remark =       "There is no mention of Hartree in Part III, but this
                 entry is included for completeness of this
                 autobiography.",
}

@Article{Weiss:1985:RCM,
  author =       "Eric A. Weiss and Henry S. Tropp and Ralph Erskine and
                 John A. N. Lee and Gwen Bell and M. R. Williams",
  title =        "Reviews: {The Computer Museum} and {J. Bernstein,
                 Three Degrees Above Zero: Bell Labs in the Information
                 Age} and {D. R. Hartree, Calculating Machines: Recent
                 and Prospective Developments and Their Impact on
                 Mathematical Physics, and, Calculating Instruments and
                 Machines} and {W. Kozaczuk, Enigma: How the German
                 Machine Cipher Was Broken and How It Was Read by the
                 Allies in World War Two} and {S. Levy, Hackers} and {A.
                 Osborne and J. Dvorak, Hypergrowth: The Rise and Fall
                 of Osborne Computer Corporation} and {E. W. Pugh,
                 Memories that Shaped an Industry} and Capsule Reviews",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "7",
  number =       "3",
  pages =        "258--277",
  month =        jul # "\slash " # sep,
  year =         "1985",
  CODEN =        "AHCOE5",
  ISSN =         "0164-1239",
  ISSN-L =       "0164-1239",
  bibdate =      "Fri Nov 1 15:29:22 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  URL =          "http://dlib.computer.org/an/books/an1985/pdf/a3258.pdf;
                 http://www.computer.org/annals/an1985/a3258abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Wilkes:1985:MCP,
  author =       "M. V. (Maurice Vincent) Wilkes",
  title =        "Memoirs of a Computer Pioneer",
  publisher =    pub-MIT,
  address =      pub-MIT:adr,
  pages =        "viii + 240",
  year =         "1985",
  ISBN =         "0-262-23122-0",
  ISBN-13 =      "978-0-262-23122-0",
  LCCN =         "QA76.17 .W55 1985",
  bibdate =      "Mon Nov 4 07:46:57 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  series =       "MIT Press series in the history of computing",
  URL =          "https://en.wikipedia.org/wiki/Telecommunications_Research_Establishment",
  acknowledgement = ack-nhfb,
  author-dates = "Sir Maurice Vincent Wilkes (26 June 1913--29 November
                 2010)",
  keywords =     "computers --- history; engineers --- Great Britain ---
                 biography; Radar Research Establishment (1953--1957);
                 Royal Radar Establishment (1957--date);
                 Telecommunications Research Establishment (TRE)
                 (1935--1953); Wilkes, M. V. (Maurice Vincent)",
  remark-1 =     "There are 38 mentions of, and 17 index entries for,
                 Douglas Hartree in this book.",
  remark-2 =     "From page 150: ``Although Hartree's affiliation was to
                 another department, he was very close to us at that
                 time. His knowledge of numerical analysis and, more
                 particularly, his wide experience of computing of the
                 most practical kind, qualified him to play a major role
                 at that critical moment. He had personal qualities of
                 no less value. He was entirely without any sense of his
                 own importance and could work, seemingly on equal
                 terms, with those much younger than himself. He never
                 attempted to lay down the law, and detested people who
                 did. The only time I saw him really angry was once when
                 he had just returned from a visit to the ACE project at
                 the National Physical Laboratory where he had
                 encountered such a person. It was, in no small measure,
                 due to Hartree that computer applications in Cambridge
                 got off to such a good start.''",
  remark-3 =     "From p. 151: ``Hartree was a member of the committee
                 and, on all questions relating to numerical methods and
                 computational strategy, he was a tower of strength.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Series Foreword / vii \\
                 1: Schooldays / 1 \\
                 2: Undergraduate years / 9 \\
                 3: Post-graduate research / 20 \\
                 4: War / 31 \\
                 5: Experience on radar sites / 40 \\
                 6: Air Defence Experimental Establishment / 54 \\
                 7: Operational research / 64 \\
                 8: TRE / 81 \\
                 9: A trip to Germany / 90 \\
                 10: Post-war reconstruction / 103 \\
                 11: Atmospheric oscillations / 111 \\
                 12: The Moore School / 116 \\
                 13: The EDSAC / 127 \\
                 14: First steps in programming / 143 \\
                 15: Germany revisited / 154 \\
                 16: Computer progress in the United States / 160 \\
                 17: EDSAC 2 / 184 \\
                 18: Can machines think and other topics / 195 \\
                 19: Computer progress 1955--80 / 208 \\
                 Sources and acknowledgements / 231 \\
                 Index / 233",
}

@Article{Ceruzzi:1986:RPC,
  author =       "Paul Ceruzzi",
  title =        "Review of {{\booktitle{Punched Card Methods in
                 Scientific Computation; Calculating Machines: Recent
                 and Prospective Developments and Their Impact on
                 Mathematical Physics and Calculating Instruments and
                 Machines}}, by W. J. Eckert \& D. R. Hartree}",
  journal =      j-ISIS,
  volume =       "77",
  number =       "1",
  pages =        "154--156",
  month =        mar,
  year =         "1986",
  CODEN =        "ISISA4",
  ISSN =         "0021-1753 (print), 1545-6994 (electronic)",
  ISSN-L =       "0021-1753",
  bibdate =      "Fri Aug 4 17:46:50 2023",
  bibsource =    "http://www.jstor.org/action/showPublication?journalCode=isis;
                 http://www.jstor.org/stable/i211177;
                 https://www.math.utah.edu/pub/tex/bib/isis1980.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/232544",
  acknowledgement = ack-nhfb,
  fjournal =     "Isis",
  journal-URL =  "http://www.jstor.org/journal/isis",
  reviewed-author = "Wallace J. Eckert and Douglas R. Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-04",
}

@Book{Hey:1986:QU,
  author =       "Anthony J. G. Hey and Patrick Walters",
  title =        "The Quantum Universe",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "vii + 180",
  year =         "1986",
  ISBN =         "0-521-26744-7 (hardcover), 0-521-31845-9 (paperback)",
  ISBN-13 =      "978-0-521-26744-1 (hardcover), 978-0-521-31845-7
                 (paperback)",
  LCCN =         "QC174.12 .H48 1987",
  bibdate =      "Sat Aug 5 15:08:13 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/schroedinger-erwin.bib",
  abstract =     "The Quantum Universe is the first popular book to give
                 a non-mathematical pictorial account of quantum
                 physics, the foundation of our current understanding of
                 nature. For so long the province of mathematicians and
                 physicists alone, the beauty and significance of
                 quantum mechanics has remained hidden to the
                 nonspecialist. Yet its impact on technology has been
                 enormous. The modern electronics industry with the
                 silicon chip that has revolutionised so many aspects of
                 modern life owes its existence to an understanding of
                 the quantum nature of semiconductors. The text explains
                 exactly what quantum mechanics is in a simple
                 nonmathematical way, and is complemented throughout by
                 many superb colour and black-and-white photographs
                 illustrating the varied facets of quantum phenomena.
                 The Quantum Universe will provide a fascinating and
                 accessible introduction to one of the most important
                 scientific disciplines of the twentieth century.
                 Final-year students at school, general readers with an
                 interest in science, and undergraduates in science
                 subjects will all be able to enjoy and benefit from
                 this novel exposition.",
  acknowledgement = ack-nhfb,
  remark =       "Said to contain a description of Hartree's atomic
                 structure work, and a picture of the Meccano
                 differential analyser.",
  subject =      "Quantum theory; Th{\'e}orie quantique; Quantum
                 theory",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Preface \\
                 Prologue \\
                 Route map \\
                 Waves versus particles \\
                 Heisenberg and uncertainty \\
                 Schr{\"o}dinger and matter waves \\
                 Atoms and nuclei \\
                 Quantum tunnelling \\
                 Pauli and the elements \\
                 Death of a star \\
                 Quantum co-operation and superfluids \\
                 Feynman rules \\
                 Weak photons and strong glue \\
                 Appendices \\
                 Epilogue \\
                 Glossary \\
                 Suggestions for further reading \\
                 Photo-credits \\
                 Subject index \\
                 Names index",
}

@Article{Owens:1986:VBD,
  author =       "Larry Owens",
  title =        "{Vannevar Bush} and the Differential Analyzer: The
                 Text and Context of an Early Computer",
  journal =      j-TECH-CULTURE,
  volume =       "27",
  number =       "1",
  pages =        "63--95",
  month =        jan,
  year =         "1986",
  CODEN =        "TECUA3",
  DOI =          "https://doi.org/10.2307/3104945",
  ISSN =         "0040-165X (print), 1097-3729 (electronic)",
  ISSN-L =       "0040-165X",
  bibdate =      "Wed Aug 16 17:30:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/techculture1980.bib",
  URL =          "https://www.jstor.org/stable/3104945",
  acknowledgement = ack-nhfb,
  ajournal =     "Tech. Culture",
  fjournal =     "Technology and Culture",
  journal-URL =  "https://muse.jhu.edu/journal/194",
}

@Article{SwirlesJeffreys:1987:DRH,
  author =       "{Lady} Bertha {Swirles Jeffreys}",
  title =        "{Douglas Rayner Hartree} (1897--1958)",
  journal =      j-COMMENTS-AT-MOL-PHYS,
  volume =       "20",
  number =       "??",
  pages =        "189--198",
  month =        "????",
  year =         "1987",
  CODEN =        "CAMPBS",
  ISSN =         "0010-2687",
  ISSN-L =       "0010-2687",
  bibdate =      "Wed Aug 16 10:51:11 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Comments At. Mol. Phys.",
  author-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  fjournal =     "Comments on Atomic and Molecular Physics",
  remark-1 =     "Publication history: volume 1, number 1, April\slash
                 May 1969 to final volume 34, number 3--6, February
                 1999. No online journal archive, and no electronic
                 version of this article, have yet been found. Copy
                 obtained via Interlibrary Loan from University of Texas
                 at Arlington library.",
  remark-2 =     "From page 190: ``Part of the dissertation dealt with
                 the polarizability of the atomic core under the
                 influence of the series electron. Hartree generously
                 passed on this problem to me when I began research
                 under Fowler in 1925. I published a short paper on this
                 (Swirles, 1926) [Swirles:1926:PAC] and there was a
                 similar study by Uns{\"o}ld (1926).''",
  remark-3 =     "From page 193: ``I remember clearly that Hartree made
                 the suggestion for extending the self-consistent field
                 method to the Dirac equation on the platform at Euston
                 Station in the autumn of 1934, when we were returning
                 to Manchester from a conference on the nucleus in
                 London. We did not know then that the coefficients I
                 rather laboriously found had already been tabulated by
                 Inglis (1931) [Inglis:1931:ERC]. This work was also
                 done later more economically by I. P. Grant (1961)
                 [Grant:1961:RSC].''",
  remark-4 =     "From page 194: ``In 1947 I discovered some mistakes of
                 sign in the formulation of the differential equations,
                 and although he was in no way responsible, Hartree
                 repaired the damage by adding an appendix to his paper
                 in Reports on Progress in Physics (1947).'' [see
                 Swirles:1935:RSC and Hartree:1947:CAS]",
  remark-5 =     "From page 194: ``In the summer of 1936 he suggested
                 that we should work together on superposition of
                 configurations, and I remember that collaboration with
                 much pleasure. Our first paper (1937)
                 [Hartree:1937:ECI] was followed by the paper on oxygen
                 which involved both Hartrees [Hartree:1939:SCF]. I did
                 some of the algebra and Mr. Hartree did the numerical
                 work.''",
  remark-6 =     "From page 196: ``\ldots{} Darwin (1958) and Wilkes
                 (1985), have written of Hartree's generosity and
                 willingness to help colleagues and research students.
                 He did enjoy passing on knowledge, but I realize now
                 how much I took for granted his willingness to give me
                 help and encouragement. He was in active work until his
                 sudden death in 1958. He knew that he was diabetic and
                 was on his way on foot to a routine check at a nearby
                 nursing home when he collapsed and died.'' See also
                 Wilkes' report in entry Hartree:1958:NTP.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Anonymous:1988:ERH,
  author =       "Anonymous",
  title =        "Errata: {Reviews: Hartree: Calculating Machines:
                 Recent and Prospective Developments and Their Impact on
                 Mathematical Physics and Calculating Instruments and
                 Machines, 10(1) 93}",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "10",
  number =       "3",
  pages =        "234--234",
  month =        jul # "\slash " # sep,
  year =         "1988",
  CODEN =        "AHCOE5",
  ISSN =         "0164-1239",
  ISSN-L =       "0164-1239",
  bibdate =      "Fri Nov 1 15:29:13 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
                 https://www.math.utah.edu/pub/tex/bib/cryptography.bib",
  note =         "See \cite{Aspray:1988:RCD}.",
  URL =          "http://dlib.computer.org/an/books/an1988/pdf/a3234.pdf;
                 http://www.computer.org/annals/an1988/a3234abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
}

@Article{Aspray:1988:RCD,
  author =       "William Aspray and Maurice V. Wilkes and Albert C.
                 Lewis and Greg Mellen and Harold Chucker and Robert V.
                 D. Campbell and Wendy Wilkins and G. J. Tee and Ernest
                 Braun and Arthur L. Norberg",
  title =        "Reviews: {Carpenter and Doran (eds.): A. M. Turing's
                 ACE Report of 1946 and Other Papers}; {Masani (ed.):
                 Norbert Wiener: Collected Works with Commentaries};
                 {Kozaczuk: Enigma: How the German Machine Cipher Was
                 Broken and How It Was Read by the Allies in World War
                 Two}; {Worthy: William C. Norris: Portrait of a
                 Maverick}; {Harvard Computation Laboratory: A Manual of
                 Operation for the Automatic Sequence Controlled
                 Calculator}; {Proceedings of a Symposium on Large-Scale
                 Digital Calculating Machinery}; {Gardner: The Mind's
                 New Science: A History of the Cognitive Revolution};
                 {Hartree: Calculating Machines: Recent and Prospective
                 Developments and Their Impact on Mathematical Physics
                 and Calculating Instruments and Machines}; {McLean and
                 Rowland: The Inmos Saga}; {Pennings and Buifendam
                 (eds.): New Technology as Organizational Innovation:
                 The Development and Diffusion of Microelectronics};
                 Other Literature",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "10",
  number =       "1",
  pages =        "80--97",
  month =        jan # "\slash " # mar,
  year =         "1988",
  CODEN =        "AHCOE5",
  ISSN =         "0164-1239",
  ISSN-L =       "0164-1239",
  bibdate =      "Fri Nov 1 15:29:12 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  note =         "See minor erratum \cite{Anonymous:1988:ERH}: Hartree
                 as a mathematical physicist, not a physical chemist.",
  URL =          "http://dlib.computer.org/an/books/an1988/pdf/a1080.pdf;
                 http://www.computer.org/annals/an1988/a1080abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Medwick:1988:DHE,
  author =       "Paul A. Medwick",
  title =        "{Douglas Hartree} and Early Computations in Quantum
                 Mechanics",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "10",
  number =       "2",
  pages =        "105--111",
  month =        apr # "\slash " # jun,
  year =         "1988",
  CODEN =        "AHCOE5",
  DOI =          "https://doi.org/10.1109/MAHC.1988.10014",
  ISSN =         "0164-1239",
  ISSN-L =       "0164-1239",
  bibdate =      "Fri Nov 1 15:29:12 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  URL =          "http://dlib.computer.org/an/books/an1988/pdf/a2105.pdf;
                 http://www.computer.org/annals/an1988/a2105abs.htm",
  abstract =     "Douglas Hartree, who was a mathematical physicist at
                 the University of Manchester and the University of
                 Cambridge during the first half of this century,
                 examined the possibilities for numerical solutions of
                 the many-body problem in quantum mechanics which did
                 not permit analytic, closed-form results. In an attempt
                 to surmount the mathematical complexities associated
                 with multi-electron atoms, Hartree proposed the method
                 of self-consistent fields as an approximation scheme
                 which would give numerical forms of atomic wave
                 functions via iterative solution of the Schr{\"o}dinger
                 equation. Hartree was quick to recognize the need for
                 automatic computation, both analog and digital, for the
                 practical implementation of the technique. To this end,
                 he investigated the application of analog differential
                 analyzers to the problem before realizing the
                 superiority of digital computation. The question of the
                 first self-consistent field calculations to be run on
                 an electronic digital machine is addressed in an effort
                 to clarify misinformation in the existing literature
                 about the use of early computers to perform Hartree
                 computations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
  remark =       "From page 109: ``The first verifiable use of an
                 electronic digital computer for the implementation of
                 the Hartree algorithm was on the Cambridge EDSAC which
                 became operational in 1949 \ldots{} '' and ``Wilkes
                 states that the bulk of credit for Hartree calculations
                 on EDSAC should be given to S. F. [Samuel Francis] Boys
                 since Hartree was only peripherally involved, at best,
                 with the work at this point having moved on to address
                 other problems of interest \ldots{} ''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Gene Howard Golub (February 29, 1932--November
                 16, 2007)",
}

@Article{Pyykko:1988:RES,
  author =       "Pekka Pyykk{\"o}",
  title =        "Relativistic effects in structural chemistry",
  journal =      j-CHEM-REV,
  volume =       "88",
  number =       "3",
  pages =        "563--594",
  month =        may,
  year =         "1988",
  CODEN =        "CHREAY",
  DOI =          "https://doi.org/10.1021/cr00085a006",
  ISSN =         "0009-2665 (print), 1520-6890 (electronic)",
  ISSN-L =       "0009-2665",
  bibdate =      "Tue Aug 8 11:52:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://pubs.acs.org/doi/abs/10.1021/cr00085a006",
  acknowledgement = ack-nhfb,
  fjournal =     "Chemical Reviews",
  journal-URL =  "http://pubs.acs.org/loi/chreay",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@InCollection{Buneman:1990:PTS,
  author =       "Oscar Buneman",
  title =        "Particles in Their Self-Consistent Fields: From
                 {Hartree}'s differential analyzer to {Cray} machines",
  crossref =     "Nash:1990:HSC",
  pages =        "57--62",
  year =         "1990",
  DOI =          "https://doi.org/10.1145/87252.88069",
  bibdate =      "Mon Aug 07 10:46:43 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
  remark =       "From page 59: ``There were three `CPUs': Phyllis
                 Lockett, who is shown in the picture with Hartree;
                 David Copley, a schoolmaster from Sheffield; and myself
                 [Oscal Buneman]. We were about a billion times slower
                 than modern CPUs, but Phyllis was the fastest. Hartree
                 addressed the multitasking, or parallel, CPU problem by
                 sharing out the several hundred orbits among the three
                 of us, at least for the case in which the field was
                 revised only occasionally. \ldots{} His algorithm is
                 used to this day in particle simulations. The
                 instructions for the three CPUs had been set out by
                 Hartree in the form of a program, with go-tos and
                 loops. We did not call it looping, though: Phyllis
                 named it `knitting.'\,'' Phyllis Lockett later married
                 and became Phyllis Nicolson; her work in 1947 led to
                 the famous ``Crank--Nicolson'' method for numerically
                 solving the heat equation, and related partial
                 differential equations: see
                 https://en.wikipedia.org/wiki/Crank%E2%80%93Nicolson_method.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Phyllis Nicolson (1 September 1917--6 October
                 1968)",
}

@Book{Croarken:1990:ESC,
  author =       "Mary Croarken",
  title =        "Early Scientific Computing in {Britain}",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "160 + 8",
  year =         "1990",
  ISBN =         "0-19-853748-4",
  ISBN-13 =      "978-0-19-853748-9",
  LCCN =         "Q183.9 .C76 1990",
  bibdate =      "Mon Aug 7 12:23:51 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://books.google.com/books?id=OW1QAAAAMAAJ;
                 http://catalog.hathitrust.org/api/volumes/oclc/20452712.html",
  acknowledgement = ack-nhfb,
  subject =      "Science; Data processing; History; Great Britain;
                 Electronic data processing; Sciences; Informatique;
                 Histoire; Grande-Bretagne",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "1: Introduction \\
                 2: Background: Aids to Computation \\
                 3: The Mechanization of Computation at the Nautical
                 Almanac Office \\
                 4: The Nautical Almanac Office as a Computing Centre
                 and the Founding of the Scientific Computing Service
                 \\
                 5: The Influence of Analogue Machines in the 1930s: The
                 Manchester and Cambridge Differential Analysers \\
                 6: The Second World War: The Emergence of Government
                 Computing Centres \\
                 7: The Creation of a National Computing Centre \\
                 8: The National Physical Laboratory Mathematics
                 Division: A National Computing Centre \\
                 9: Post-War Computing Service Centres \\
                 10: Computing Machine Developments at Cambridge and
                 Manchester",
}

@Article{Smith:1990:MCA,
  author =       "Meg Weston Smith",
  title =        "{E. A. Milne} and the creation of air defence: some
                 letters from an unprincipled brigand, 1916--1919",
  journal =      j-NOTES-REC-R-SOC-LOND,
  volume =       "44",
  number =       "2",
  pages =        "241--255",
  month =        jul,
  year =         "1990",
  CODEN =        "NOREAY",
  DOI =          "https://doi.org/10.1098/rsnr.1990.0020",
  ISSN =         "0035-9149 (print), 1743-0178 (electronic)",
  ISSN-L =       "0035-9149",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Notes and Records of the Royal Society of London",
  journal-URL =  "http://rsnr.royalsocietypublishing.org/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Davidson:1991:GSC,
  author =       "Ernest R. Davidson and Stanley A. Hagstrom and Subhas
                 J. Chakravorty and Verena {Meiser Umar} and Charlotte
                 {Froese Fischer}",
  title =        "Ground-state correlation energies for two- to
                 ten-electron atomic ions",
  journal =      j-PHYS-REV-A,
  volume =       "44",
  number =       "11",
  pages =        "7071--7083",
  month =        dec,
  year =         "1991",
  CODEN =        "PLRAAN",
  DOI =          "https://doi.org/10.1103/physreva.44.7071",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  ISSN-L =       "1050-2947",
  bibdate =      "Mon Aug 7 14:54:22 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.7071",
  abstract =     "Improved estimates of the nonrelativistic stationary
                 nucleus correlation energies of the ground-state atomic
                 ions with three to ten electrons and $Z$ up to 20 are
                 derived by combining experimental data and improved
                 {\em ab initio\/} calculations. Unlike previous work in
                 this area, we focus on the correlation contribution to
                 individual ionization energies, computed by comparing
                 experimental data with relativistic
                 complete-valence-space Hartree--Fock energies.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review A (Atomic, Molecular, and Optical
                 Physics)",
  journal-URL =  "http://pra.aps.org/browse",
  received =     "21 Jun 1991",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Cossons:1992:MMW,
  author =       "Neil Cossons and Andrew Nahum and Peter Turvey",
  title =        "Making of the Modern World: Milestones of Science and
                 Technology",
  publisher =    "J. Murray in association with the Science Museum",
  address =      "London, UK",
  pages =        "224",
  year =         "1992",
  ISBN =         "0-7195-5121-8 (hardcover)",
  ISBN-13 =      "978-0-7195-5121-5 (hardcover)",
  LCCN =         "T15 .M23 1992",
  bibdate =      "Sat Aug 5 15:00:10 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  remark =       "Reported to contain a photo of Hartree's differential
                 analyser.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  xxnote =       "Find table of contents: none yet located, and not
                 available in local library",
}

@Misc{Anonymous:1993:OBP,
  author =       "Anonymous",
  title =        "{Oscar Buneman}, pioneer of computer simulation of
                 space, dies at 79",
  howpublished = "Stanford University News Service",
  day =          "26",
  month =        jan,
  year =         "1993",
  bibdate =      "Thu Sep 07 06:26:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://web.archive.org/web/20221128225301/http://news.stanford.edu/pr/93/930126Arc3435.html",
  acknowledgement = ack-nhfb,
  keywords =     "Gene Golub; Oscar Buneman",
  remark =       "From the article: ``At Manchester, under the guidance
                 of renowned numerical analyst Douglas Hartree, Buneman
                 began using his computing abilities to simulate the
                 magnetron, a device for generating powerful radar
                 waves. He aided the understanding of it through
                 computation of its electron orbits and fields, and the
                 device became very important to Britain's
                 defense.\par

                 `The magnetron made airborne radar possible, which made
                 a big difference to the submarine war in the Atlantic
                 and also in night bombing and bombing through clouds,'
                 said Sidney Self, a professor emeritus of mechanical
                 engineering who first met Buneman in England in the
                 early 1950s.\par

                 `It has often been said that while the atomic bomb
                 ended the war, radar won it.'\par

                 After coming to Stanford first as a visiting professor
                 in 1957, he [Buneman] joined the Stanford faculty
                 permanently in 1960. He directed some of his energy
                 toward simulating space and fusion plasmas on the most
                 advanced computers available while working on
                 computational theory with Gene Golub, professor of
                 computer science, and others.\par

                 In the early 1970s, Buneman `showed how to solve
                 Poisson's equation in a very elegant and stable manner,
                 which had an enormous impact on the scientific
                 computing community,' Golub said.''",
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Article{Bracewell:1993:OB,
  author =       "Ronald N. Bracewell",
  title =        "{Oscar Buneman}",
  journal =      j-PHYS-TODAY,
  volume =       "46",
  number =       "12",
  pages =        "65--65",
  month =        dec,
  year =         "1993",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/1.2809138",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Wed Sep 6 08:31:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
  remark-1 =     "From the article: ``At the outbreak of war in
                 September 1939 he was interned for nine months in
                 Canada with other foreign nationals. On returning to
                 Manchester, Buneman completed a PhD supervised by
                 Douglas Hartree in 1940 and then used a primitive
                 analog computer developed at Manchester to discover the
                 bunching of particles and the `Buneman potential' that
                 exists in a cavity magnetron.''",
  remark-2 =     "From the article: ``Ultimately he simplified the
                 self-consistent field approach to the point where all
                 of the particle behavior could be deduced directly from
                 Newton's equations of motion and Maxwell's equations
                 without Poisson's equation or magnetohydrodynamics.''",
  remark-3 =     "From the article: ``As the trend to improved
                 high-level languages advanced, Buneman stressed the
                 continued need for meticulous attention to
                 microprogramming. The power of his TRISTAN code [a
                 three-dimensional electromagnetic particle simulation
                 code for Cray supercomputers] is a testimony to the
                 effectiveness of combining basic knowledge of
                 electrodynamics with an intimate understanding of
                 machine fundamentals.''",
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Article{Chakravorty:1993:GSC,
  author =       "Subhas J. Chakravorty and Steven R. Gwaltney and
                 Ernest R. Davidson and Farid A. Parpia and Charlotte
                 {Froese Fischer}",
  title =        "Ground-state correlation energies for atomic ions with
                 3 to 18 electrons",
  journal =      j-PHYS-REV-A,
  volume =       "47",
  number =       "5",
  pages =        "3649--3670",
  month =        may,
  year =         "1993",
  CODEN =        "PLRAAN",
  DOI =          "https://doi.org/10.1103/physreva.47.3649",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  ISSN-L =       "1050-2947",
  bibdate =      "Mon Aug 7 18:05:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://journals.aps.org/pra/abstract/10.1103/PhysRevA.47.3649",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review A (Atomic, Molecular, and Optical
                 Physics)",
  journal-URL =  "http://pra.aps.org/browse",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Unpublished{Holst:1994:DRH,
  author =       "P. A. Holst",
  title =        "{Douglas R. Hartree} and the Mechanical Differential
                 Analysers",
  year =         "1994",
  bibdate =      "Mon Aug 07 10:35:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "Cite in reference 13 \cite[p. 13]{Bowles:1996:UTE}.",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Owens:1994:CMS,
  author =       "Larry Owens",
  title =        "The Counterproductive Management of Science in the
                 {Second World War}: {Vannevar Bush} and the {Office of
                 Scientific Research and Development}",
  journal =      "Business History Review",
  volume =       "68",
  number =       "4",
  pages =        "515--576",
  month =        "Winter",
  year =         "1994",
  DOI =          "https://doi.org/10.2307/3117197",
  ISSN =         "0007-6805 (print), 2044-768X (electronic)",
  ISSN-L =       "0007-6805",
  bibdate =      "Wed Aug 16 11:45:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.jstor.org/stable/3117197",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.jstor.org/journal/busihistrevi",
}

@Article{Roos:1994:IIF,
  author =       "Bj{\"o}rn Roos",
  title =        "Introduction: {Inga Fischer-Hjalmars}",
  journal =      j-THEOR-CHIM-ACTA,
  volume =       "87",
  number =       "4--5",
  pages =        "243--245",
  month =        jan,
  year =         "1994",
  CODEN =        "TCHAAM",
  DOI =          "https://doi.org/10.1007/bf01113381",
  ISSN =         "0040-5744",
  bibdate =      "Mon Aug 14 09:42:43 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://link.springer.com/article/10.1007/BF01113381",
  acknowledgement = ack-nhfb,
  author-dates = "Bj{\"o}rn Olof Roos (28 June 1937--22 February 2010)",
  fjournal =     "Theoretica Chimica Acta",
  journal-URL =  "http://link.springer.com/journal/214",
  remark =       "From page 244: ``An important event that took place
                 during the fall of 1948 was a visit to professor C. A.
                 Coulson in Oxford. The visit resulted in a paper
                 discussing the form of the wavefunction for a
                 dissociating hydrogen molecule (Phil. Mag. {\bf 40}:386
                 (1949)). This landmark paper, which is still used as a
                 reference, pointed forward to the development of the
                 unrestricted Hartree--Fock method and
                 multi-configurational self-consistent field methods for
                 the description of the dissociation of the chemical
                 bond.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Inga Fischer-Hjalmars (16 January 1918--17
                 September 2008)",
}

@Article{Bowles:1996:UTE,
  author =       "M. D. Bowles",
  title =        "{U.S.} technological enthusiasm and {British}
                 technological skepticism in the age of the analog
                 brain",
  journal =      j-IEEE-ANN-HIST-COMPUT,
  volume =       "18",
  number =       "4",
  pages =        "5--15",
  month =        oct # "\slash " # dec,
  year =         "1996",
  CODEN =        "IAHCEX",
  DOI =          "https://doi.org/10.1109/85.539911",
  ISSN =         "1058-6180 (print), 1934-1547 (electronic)",
  ISSN-L =       "1058-6180",
  bibdate =      "Thu Jul 12 08:14:44 MDT 2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
  URL =          "http://ieeexplore.ieee.org/iel4/85/11673/00539911.pdf",
  abstract =     "This article is a comparative analysis of the British
                 arid U.S. differential analyzers from 1930 to 1945. The
                 author examines the development of the Vannevar Bush
                 and D. R. Hartree analyzers in the context of the U.S.
                 engineering community and British scientific community,
                 respectively. He argues that this practical machine was
                 more readily and enthusiastically adopted by US.
                 engineers, while British scientists remained skeptical
                 of the differential analyzer due to their theoretical
                 professional style. As a result, Hartree was a ``voice
                 in the wilderness'' in Britain, while Bush received
                 extensive funding and had the support of an
                 enthusiastic engineering environment.",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Ann. Hist. Comput.",
  fjournal =     "IEEE Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Holst:1996:SRO,
  author =       "P. A. Holst",
  title =        "{Svein Rosseland} and the {Oslo} analyzer",
  journal =      j-IEEE-ANN-HIST-COMPUT,
  volume =       "18",
  number =       "4",
  pages =        "16--26",
  month =        oct # "\slash " # dec,
  year =         "1996",
  CODEN =        "IAHCEX",
  DOI =          "https://doi.org/10.1109/85.539912",
  ISSN =         "1058-6180 (print), 1934-1547 (electronic)",
  ISSN-L =       "1058-6180",
  bibdate =      "Thu Jul 12 08:14:44 MDT 2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
  URL =          "http://ieeexplore.ieee.org/iel4/85/11673/00539912.pdf;
                 https://en.wikipedia.org/wiki/Oslo_Analyzer",
  abstract =     "At one time the world's largest mechanical
                 differential analyzer was located at Blindern, Norway,
                 at Oslo University's Institute of Theoretical
                 Astrophysics. It was built by a Norwegian instrument
                 firm, borrowing much of its details from the famous MIT
                 design by Vannevar Bush. For a few years this
                 mechanical analytical tool ranked as the world's
                 foremost differential equation solver. The Oslo
                 analyzer was technically advanced, highly accurate,
                 and, surprisingly, it was the most accessible large
                 computational resource available to theoretical
                 physicists in the world. Its success was primarily due
                 to Professor Svein Rosseland. He was a bright, young
                 astrophysicist who had impressed his fellow physicists
                 around the world with his talents and imaginative
                 thoughts",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Ann. Hist. Comput.",
  fjournal =     "IEEE Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
  remark-1 =     "From page 19: ``Rosseland also realized that the Bush
                 analyzer at that time was nothing but a research
                 prototype that was gradually being perfected. In
                 practical terms it was substantially undocumented and
                 unfinished. Its design had evolved by iterating each
                 important function through trials and refinement.
                 \ldots{} There is good reason to believe Rosseland's
                 was the first complete and thorough documentation of
                 the design (see Fig. 3). His extensive notes and
                 sketches would later come in handy for Bush when other
                 analyzers were to be made. (The first copy was made for
                 the Moore School of Electrical Engineering in
                 Philadelphia, Pennsylvania. The second was built by the
                 Metropolitan-Vickers Company for Douglas R. Hartree in
                 Manchester, England. A third was built in Boston some
                 years later and used by the U.S. Army's Aberdeen
                 Proving Grounds. Rosseland's carefully prepared
                 documentation was the basis for these replicates.)''",
  remark-2 =     "From page 24: ``One of the Hartree's associates at
                 Manchester University, Mr. R. Butler, an experienced
                 analyzer specialist, made several visits to Oslo and
                 contributed greatly to making the operation of the
                 machine as effective as possible.''",
}

@Book{FroeseFischer:1997:CAS,
  author =       "Charlotte {Froese Fischer} and Tomas Brage and Per
                 J{\'o}nsson",
  title =        "Computational Atomic Structure: an {MCHF} Approach",
  publisher =    pub-IOP,
  address =      pub-IOP:adr,
  pages =        "xi + 279",
  year =         "1997",
  DOI =          "https://doi.org/10.1201/9781315139999",
  ISBN =         "0-7503-0374-3 (hardcover), 0-7503-0466-9 (paperback)",
  ISBN-13 =      "978-0-7503-0374-3 (hardcover), 978-0-7503-0466-5
                 (paperback)",
  LCCN =         "QC173.4.A87",
  MRclass =      "00A79, 81-08, 81V45",
  bibdate =      "Tue Aug 8 06:57:34 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://catdir.loc.gov/catdir/enhancements/fy0701/97010464-d.html;
                 http://www.gbv.de/dms/bowker/toc/9780750304665.pdf;
                 http://www.zentralblattmath.org/zmath/en/search/?an=0997.00542",
  abstract =     "Computational Atomic Structure: An MCHF Approach deals
                 with the field of computational atomic structure,
                 specifically with the multiconfiguration Hartree--Fock
                 (MCHF) approach and the manner in which this approach
                 is used in modern physics. Beginning with an
                 introduction to computational algorithms and procedures
                 for atomic physics, the book describes the theory
                 underlying nonrelativistic atomic structure
                 calculations (making use of Brett--Pauli corrections
                 for relativistic effects) and details how the MCHF
                 atomic structure software package can be used to this
                 end. The book concludes with a treatment of atomic
                 properties, such as energy levels, electron affinities,
                 transition probabilities, specific mass shift, fine
                 structure, hyperfine-structure, and autoionization.
                 This modern, reliable exposition of atomic structure
                 theory proves invaluable to anyone looking to make use
                 of the authors' MCHF atomic structure software package,
                 which is available publicly.",
  acknowledgement = ack-nhfb,
  subject =      "Atomphysik; Numerische Mathematik.; Numerische
                 Mathematik; Atomphysik.; Programmsammlung.; Numerisches
                 Verfahren; Atombau",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "1: Introduction / 1--21 (21 pages) \\
                 2: Configuration State Functions and Matrix Elements of
                 the Hamiltonian / 22--34 (13 pages) \\
                 3: Hartree--Fock Calculations / 35--66 (32 pages) \\
                 4: Multiconfiguration Hartree--Fock Wave Functions /
                 67--87 (21 pages) \\
                 5: Two-Electron Systems / 88--104 (17 pages) \\
                 6: Correlation in Many-Electron Systems / 105--128 (24
                 pages) \\
                 7: Relativistic Effects / 129--150 (22 pages) \\
                 8: Isotope and Hyperfine Effects / 151--178 (28 pages)
                 \\
                 9: Allowed and Forbidden Transitions / 179--216 (38
                 pages) \\
                 10: MCHF Continuum Wave Functions / 217--239 (23 pages)
                 \\
                 A: Angular Momentum Theory / 240--250 (11 pages) \\
                 B: The Dirac and Breit--Pauli Theory / 251--259 (9
                 pages) \\
                 C: Fundamental Constants / 260--262 (3 pages) \\
                 D: Program Input Parameters / 263--272 (10 pages) \\
                 References / 273--276 (4 pages) \\
                 Index / 277--279 (3 pages)",
}

@Book{Williams:1997:HCT,
  author =       "Michael R. Williams",
  title =        "A History of Computing Technology",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  edition =      "Second",
  pages =        "xi + 426",
  year =         "1997",
  ISBN =         "0-8186-7739-2 (hardcover)",
  ISBN-13 =      "978-0-8186-7739-7 (hardcover)",
  LCCN =         "QA76.17 .W55 1997",
  bibdate =      "Sat Aug 5 15:21:04 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  URL =          "http://catalogue.bnf.fr/ark:/12148/cb37514972q",
  acknowledgement = ack-nhfb,
  keywords =     "ABC; Antikythera device; Baldwin--Odhner machines;
                 Bell Relay Computers; Blaise Pascal; Cambridge machine
                 (EDSAC); Charles Babbage; Clifford Berry; Colossus
                 machine; Douglas Hartree; Eckert/Mauchly machines
                 (BINAC and UNIVAC); Electronic Discrete Variable
                 Arithmetic Computer (EDVAC); ENIAC; Ferranti Atlas;
                 Gottfried Wilhelm Leibniz; Hartree Meccano model
                 differential analyser; Harvard Mark I--IV; Howard
                 Aiken; IBM Stretch; IBM/360; Institute for Advanced
                 Study machine (IAS); John Atanasoff; Konrad Zuze; LARC;
                 Manchester machine; Napier; NORC; NPL Pilot Ace; Percy
                 Ludgate; Project Whirlwind; Rene Grillet; Samuel
                 Morland; Scheutz Difference Engine; SEAC and SWAC
                 machines; Selective Sequence Electronic Calculator
                 (SSEC); Thomas Arithmometer; Vannevar Bush differential
                 analyzer; Wilhelm Schickard",
  remark =       "There are 11 mentions of Douglas Hartree in this book,
                 with reference to his Meccano model differential
                 analyzer, and his book on calculating machines
                 \cite{Hartree:1984:CMRa,Hartree:1984:CMRb}.",
  shorttableofcontents = "1. In the Beginning \\
                 2. Early Aids to Calculation \\
                 3. Mechanical Calculating Machines \\
                 4. The Babbage Machines \\
                 5. The Analog Animals \\
                 6. The Mechanical Monsters \\
                 7. The Electronic Revolution \\
                 8. The First Stored Program Electronic Computers \\
                 9. Later Developments \\
                 Appendix \\
                 Index",
  subject =      "Computers; History; Electronic data processing;
                 Ordinateurs; Histoire; Informatique; Computers;
                 Electronic data processing; Histoire; Num{\'e}eration;
                 Histoire; Informatique; Ordinateur; ordinateur;
                 origines; 20e s; origines.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "1: In the Beginning / 1 \\
                 1.1 Numeration / 1 \\
                 1.2 Written Number Systems / 6 \\
                 1.2.1 The Additive Number System / 7 \\
                 1.2.2 The Positional System / 8 \\
                 1.3 The Egyptians / 9 \\
                 1.4 The Greeks / 14 \\
                 1.5 The European Number System / 19 \\
                 1.6 The Far East / 27 \\
                 1.7 Other Forms of Notation / 32 \\
                 1.7.1. Knotted Cords for Record Keeping / 33 \\
                 1.7.2 Tally Sticks / 38 \\
                 1.7.3 Other Methods of Numerical Notation / 41 \\
                 Further Reading / 42 \\
                 Endnotes for Chapter 1 / 44 \\
                 \\
                 2: Early Aids to Calculation / 46 \\
                 2.1 Introduction / 46 \\
                 2.2 Finger Reckoning / 47 \\
                 2.3 The Abacus / 53 \\
                 2.4 The Quadrant / 66 \\
                 2.5 Two Legged Instruments / 74 \\
                 2.5.1 The Proportional Compass / 75 \\
                 2.5.2 The Sector / 76 \\
                 2.6 Napier's Bones / 83 \\
                 2.6.1 Napier and His Bones / 83 \\
                 2.6.2 Gaspard Schott and Athanasius Kircher / 89 \\
                 2.6.3 Early Versions of Napier's Bones / 93 \\
                 2.6.4 Genaille--Lucas Rulers / 93 \\
                 2.7 Logarithms / 96 \\
                 2.8 The Slide Rule / 105 \\
                 Further Reading / 112 \\
                 Endnotes for Chapter 2 / 116 \\
                 \\
                 3: Mechanical Calculating Machines / 118 \\
                 3.1 Introduction / 118 \\
                 3.2 Wilhelm Schickard (1592--1635) / 119 \\
                 3.3 Blaise Pascal (1623--1662) / 124 \\
                 3.4 Gottfried Wilhelm Leibniz (1646--1716) / 129 \\
                 3.5 Samuel Morland (1625--1695) / 136 \\
                 3.6 Rene Grillet / 142 \\
                 3.7 Commercially Produced Machines / 145 \\
                 3.7.1 The Thomas Arithmometer / 145 \\
                 3.7.2 The Baldwin--Odhner Machines / 146 \\
                 3.7.3 Key-Driven Machines / 149 \\
                 Further Reading / 152 \\
                 Endnotes for Chapter 3 / 153 \\
                 \\
                 4: The Babbage Machines / 154 \\
                 4.1 Charles Babbage (1791--1871) / 154 \\
                 4.2 The Need for Accuracy / 160 \\
                 4.3 The Method of Differences / 161 \\
                 4.4 Babbage's Difference Engine / 163 \\
                 4.5 The Scheutz Difference Engine / 170 \\
                 4.6 Other Attempts At Difference Engines / 175 \\
                 4.7 Babbage's Analytical Engine / 177 \\
                 4.8 Percy Ludgate (1883--1922) / 186 \\
                 Further Reading / 188 \\
                 Endnotes for Chapter 4 / 190 \\
                 \\
                 5: The Analog Animals / 191 \\
                 5.1 Introduction / 191 \\
                 5.2 The Astrolabe / 192 \\
                 5.3 The Antikythera Device / 195 \\
                 5.4 Tide Predictors / 198 \\
                 5.5 Differential Analyzers / 201 \\
                 Further Reading / 207 \\
                 Endnotes for Chapter 5 / 208 \\
                 \\
                 6: The Mechanical Monsters / 209 \\
                 6.1 Introduction / 209 \\
                 6.2 The Zuse Machines / 210 \\
                 6.2.1 Konrad Zuse / 210 \\
                 6.2.2 The Z1 / 211 \\
                 6.2.3 The Z2 / 214 \\
                 6.2.4 The Z3 / 215 \\
                 6.2.5 The Z4 / 218 \\
                 6.2.6 The Other Zuse Machines / 220 \\
                 6.3 The Bell Relay Computers / 221 \\
                 6.3.1 The Situation / 221 \\
                 6.3.2 The Complex Number Calculator / 222 \\
                 6.3.3 The Relay Interpolator / 225 \\
                 6.3.4 The Models III and IV / 227 \\
                 6.3.5 The Model V (The Twin Machine) / 229 \\
                 6.3.6 The Model VI / 233 \\
                 6.4 The Harvard Machines of Howard Aiken / 235 \\
                 6.4.1 Introduction / 235 \\
                 6.4.2 The Harvard Mark I / 235 \\
                 6.4.3 The Harvard Mark II / 243 \\
                 6.4.4 The Harvard Mark III and Mark IV / 246 \\
                 6.5 The IBM Calculators / 248 \\
                 6.5.1 The Punched Card Systems / 248 \\
                 6.5.2 The Large IBM Calculators / 254 \\
                 6.5.3 The Selective Sequence Electronic Calculator
                 (SSEC) / 255 \\
                 Further Reading / 258 \\
                 \\
                 7: The Electronic Revolution / 261 \\
                 7.1 Introduction / 261 \\
                 7.2 John Atanasoff, Clifford Berry, \& the ABC / 262
                 \\
                 7.3 The ENIAC / 266 \\
                 7.3.1 Introduction / 266 \\
                 7.3.2 The Place and the Problem / 267 \\
                 7.3.3 The People / 268 \\
                 7.3.4 The Machine / 270 \\
                 7.4 The Colossus Machines / 284 \\
                 7.4.1 The Enigma / 284 \\
                 7.4.2 Alan Turing (1912--1954) / 288 \\
                 7.4.3 The Robinsons / 289 \\
                 7.4.4 The Colossus / 291 \\
                 Further Reading / 294 \\
                 Endnotes for Chapter 7 / 295 \\
                 \\
                 8: The First Stored Program Electronic Computers / 296
                 \\
                 8.1 The Genesis of the Ideas / 296 \\
                 8.2 Computer Memory Systems / 301 \\
                 8.2.1 Introduction / 301 \\
                 8.2.2 Thermal Memories / 303 \\
                 8.2.3 Mechanical Memories / 304 \\
                 8.2.4 Delay Line Systems / 306 \\
                 8.2.5 Electrostatic Storage Mechanisms / 311 \\
                 8.2.6 Rotating Magnetic Memories / 316 \\
                 8.2.7 Static Magnetic Memories / 319 \\
                 8.3 The British Scene / 321 \\
                 8.3.1 Introduction / 321 \\
                 8.3.2 The Manchester Machine / 322 \\
                 8.3.3 The Cambridge Machine --- EDSAC / 329 \\
                 8.3.4 The NPL Pilot Ace / 336 \\
                 8.4 The American Scene / 336 \\
                 8.4.1 The American Background / 344 \\
                 8.4.2 The Electronic Discrete Variable Arithmetic
                 Computer (EDVAC) / 347 \\
                 8.4.3 The Institute for Advanced Study Machine (IAS) /
                 351 \\
                 8.4.4 The Eckert/Mauchly Machines, BINAC and UNIVAC /
                 358 \\
                 8.4.5 The SEAC and SWAC Machines / 365 \\
                 8.4.6 Project Whirlwind / 370 \\
                 Further Reading / 376 \\
                 Endnotes for Chapter 8 / 379 \\
                 \\
                 9: Later Developments / 381 \\
                 9.1 Introduction / 381 \\
                 9.2 The Early Machines of IBM / 383 \\
                 9.2.1 The NORC / 383 \\
                 9.2.2 The 700--7000 Series Machines / 385 \\
                 9.3 Early Super Computers / 391 \\
                 9.3.1 The Stretch / 391 \\
                 9.3.2 The LARC / 395 \\
                 9.3.3 The Ferranti Atlas / 397 \\
                 9.4 The IBM/360 Series of Machines / 400 \\
                 Further Reading / 405 \\
                 Endnotes for Chapter 9 / 406 \\
                 Appendix / 407 \\
                 \\
                 Index / 416",
}

@Misc{Anonymous:1998:OB,
  author =       "Anonymous",
  title =        "{Oscar Buneman}",
  howpublished = "Web site",
  year =         "1998",
  bibdate =      "Wed Sep 06 08:45:22 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.physics.ucla.edu/icnsp/buneman.htm;
                 https://academictree.org/physics/peopleinfo.php?pid=821941",
  acknowledgement = ack-nhfb,
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Book{Jeffreys:1999:MMP,
  author =       "Harold Jeffreys and Bertha {Swirles Jeffreys}",
  title =        "Methods of Mathematical Physics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  edition =      "Third",
  pages =        "viii + 718",
  year =         "1999",
  ISBN =         "0-521-66402-0 (paperback)",
  ISBN-13 =      "978-0-521-66402-8 (paperback)",
  LCCN =         "QA401 .J4 1999",
  bibdate =      "Thu Aug 17 10:48:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Reprint of \cite{Jeffreys:1956:MMP}.",
  URL =          "https://en.wikipedia.org/wiki/Bertha_Swirles;
                 https://en.wikipedia.org/wiki/Harold_Jeffreys",
  acknowledgement = ack-nhfb,
  author-dates = "Sir Harold Jeffreys (22 April 1891--18 March 1989);
                 Lady Bertha Swirles Jeffreys (22 May 1903--18 December
                 1999)",
  remark =       "First edition 1946, second edition 1950, third edition
                 1956, first paperback edition 1972, reprinted 1978,
                 1980, 1988, 1992, 1999, 2001. Third edition preface is
                 dated April 1953. Second edition preface is dated 15
                 November 1948. First edition preface is dated 1946.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Preface \\
                 Authors' Notes \\
                 1: The Real Variable \\
                 2: Scalars and Vectors \\
                 3: Tensors \\
                 4: Matrices \\
                 5: Multiple Integrals \\
                 6: Potential Theory \\
                 7: Operational Methods \\
                 8: Physical Applications of the Operational Method \\
                 9: Numerical Methods \\
                 10: Calculus of Variations \\
                 11: Functions of a Complex Variable \\
                 12: Contour Integration and Bromwich's Integral \\
                 13: Conformal Representation \\
                 14: Fourier's Theorem \\
                 15: The Factorial and Related Functions \\
                 16: Solution of Linear Differential Equation \\
                 17: Asymptotic Expansions \\
                 18: The Equations of Potential, Waves, and Heat
                 Conduction \\
                 19: Waves in One Dimension and Waves With Spherical
                 Symmetry \\
                 20: Conduction of Heat in One and Three Dimensions \\
                 21: Bessel Functions \\
                 22: Applications of Bessel Functions \\
                 23: The Confluent Hypergeometric Function \\
                 24: Legendre Functions and Associated Functions \\
                 25: Elliptic Functions \\
                 Notes \\
                 Appendix on Notation \\
                 Index",
}

@Article{Williams:1999:OBJ,
  author =       "R. M. Williams",
  title =        "Obituary: {Bertha Jeffreys}",
  journal =      "The Independent (London)",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "22",
  month =        dec,
  year =         "1999",
  bibdate =      "Thu Aug 17 10:25:53 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://en.wikipedia.org/wiki/Bertha_Swirles;
                 https://en.wikipedia.org/wiki/Harold_Jeffreys;
                 https://web.archive.org/web/20060902155227/http://www.physics.ucla.edu/~cwp/articles/jeffreys/jeffreys-obituary.html",
  acknowledgement = ack-nhfb,
  remark-1 =     "From the text: ``In Cambridge, Bertha Swirles
                 continued to publish important papers on quantum
                 theory, but her most widely known publication is the
                 enormously influential text \booktitle{Methods of
                 Mathematical Physics}, written with [Sir] Harold
                 Jeffreys, whom she had married in 1940. It was first
                 published in 1946 and, after many editions and
                 revisions, it was reprinted a few weeks ago, with a
                 delightful picture of Bertha and Harold on the back
                 cover.''",
  remark-2 =     "From the text: ``Bertha Jeffreys played a leading role
                 in women's education this century, and she inspired
                 students of mathematics world-wide. It is a pity that
                 only after her husband's death did she receive honorary
                 doctorates, from the University of Saskatchewan in 1995
                 and the Open University in 1996. This recognition of
                 her would have given him great pleasure.''",
  remark-3 =     "Bertha Swirles, mathematician: born Northampton 22 May
                 1903; Tucker--Price Fellow, Girton College, Cambridge
                 1938-69 (Life Fellow 1969), Director of Studies in
                 Mathematics 1949-69, Vice-Mistress 1966-69; married
                 1940 Harold Jeffreys (Kt 1953, died 1989); died
                 Cambridge 18 December 1999.",
  subject-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18
                 December 1999)",
}

@Article{FroeseFischer:2000:REC,
  author =       "Charlotte {Froese Fischer}",
  title =        "Reminiscences at the End of the Century",
  journal =      j-MOL-PHYS,
  volume =       "98",
  number =       "16",
  pages =        "1043--1050",
  month =        aug,
  year =         "2000",
  CODEN =        "MOPHAM",
  DOI =          "https://doi.org/10.1080/00268970050080393",
  ISSN =         "0026-8976 (print), 1362-3028 (electronic)",
  ISSN-L =       "0026-8976",
  bibdate =      "Sat Aug 05 15:55:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.tandfonline.com/doi/abs/10.1080/00268970050080393",
  acknowledgement = ack-nhfb,
  fjournal =     "Molecular Physics",
  journal-URL =  "http://www.tandfonline.com/loi/tmph20",
  keywords =     "Douglas R. Hartree; ENIAC",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Simoes:2000:QCG,
  author =       "Ana Sim{\~o}es and Kostas Gavro{\u{g}}lu",
  title =        "Quantum Chemistry in {Great Britain}: Developing a
                 Mathematical Framework for Quantum Chemistry",
  journal =      j-STUD-HIST-PHILOS-MOD-PHYS,
  volume =       "31",
  number =       "4",
  pages =        "511--548",
  month =        dec,
  year =         "2000",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1016/S1355-2198(00)00023-X",
  ISSN =         "1355-2198 (print), 1879-2502 (electronic)",
  ISSN-L =       "1355-2198",
  bibdate =      "Thu Nov 3 06:18:23 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/shps-b.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S135521980000023X",
  acknowledgement = ack-nhfb,
  ajournal =     "Stud. Hist. Philos. Mod. Phys.",
  fjournal =     "Studies in History and Philosophy of Modern Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/13552198",
  remark =       "There are 122 mentions of Hartree in this article, and
                 3 of Douglas Rayner Hartree.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Walmsley:2000:OLJ,
  author =       "Mary Walmsley",
  title =        "Obituary: {Lady Jeffreys} 1903--1999",
  journal =      j-MATH-GAZ,
  volume =       "84",
  number =       "500",
  pages =        "321--323",
  year =         "2000",
  CODEN =        "MAGAAS",
  ISSN =         "00255572",
  bibdate =      "Thu Aug 17 10:22:17 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://www.jstor.org/stable/3621681",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.jstor.org/journal/mathgaze",
  subject-dates = "Lady Bertha Swirles Jeffreys (22 May 1903--18
                 December 1999)",
  urldate =      "2023-08-17",
}

@InCollection{Brezinski:2001:NAT,
  author =       "Claude Brezinski and Luc Wuytack",
  title =        "Numerical analysis in the twentieth century",
  crossref =     "Brezinski:2001:NAH",
  pages =        "1--40",
  year =         "2001",
  DOI =          "https://doi.org/10.1016/b978-0-444-50617-7.50003-3",
  bibdate =      "Mon Aug 14 08:09:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.sciencedirect.com/science/article/pii/B9780444506177500033",
  acknowledgement = ack-nhfb,
  remark =       "From the first paragraph: ``{\em Numerical analysis\/}
                 can be defined as that branch of mathematics interested
                 in {\em constructive methods}. \ldots{} It seems that
                 the first book with this expression in its title was by
                 Douglas Rayner Hartree (1897--1958), a mathematical
                 physicist from Cambridge, England, in 1952. \ldots{} Of
                 course, there were books on numerical methods a long
                 time before Hartree's.''",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Small:2001:AAE,
  author =       "James S. Small",
  title =        "The Analogue Alternative: the Electronic Analogue
                 Computer in {Britain} and the {USA}, 1930--1975",
  volume =       "15",
  publisher =    "Routledge",
  address =      "London, UK and New York, NY, USA",
  pages =        "xiv + 322",
  year =         "2001",
  ISBN =         "0-415-27119-3 (hardcover), 0-203-77021-8 (e-book),
                 0-415-86299-X, 1-134-69902-6 (e-book), 1-134-69909-3
                 (e-book), 1-134-69916-6 (e-book)",
  ISBN-13 =      "978-0-415-27119-6 (hardcover), 978-0-203-77021-4
                 (e-book), 978-0-415-86299-8, 978-1-134-69902-5
                 (e-book), 978-1-134-69909-4 (e-book), 978-1-134-69916-2
                 (e-book)",
  LCCN =         "QA76.17 .S55 2001",
  bibdate =      "Sat Aug 5 15:14:28 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  series =       "Studies in the history of science technology and
                 medicine",
  URL =          "http://sfx.ethz.ch/sfx_locater?sid=ALEPH:EBI01\%26genre=book%26isbn=9780203770214",
  acknowledgement = ack-nhfb,
  remark-1 =     "There are 52 mentions of Douglas Hartree in this book,
                 11 of John von Neumann, 5 of Alan Turing, 4 of Charles
                 Babbage, and 1 of Hartree-Fock.",
  remark-2 =     "From p. 46: ``In the USA the differential analyzer was
                 developed at an American engineering school where the
                 solution of problems in electrical engineering provided
                 the computational demand and principal spur for its
                 construction. In Britain the leading proponents of
                 differential analyzers were scientists working at
                 universities in the fields of quantum mechanics,
                 theoretical chemistry and mathematics. The first and
                 most influential of these was Douglas R. Hartree.''",
  remark-3 =     "Describes Hartree's differential analysers at
                 Manchester, including on page 47 a picture of the
                 Meccano model machine, completed in 1934, and reported
                 to given an accuracy of 2 percent (lower than a
                 full-scale machine that was accurate to 0.1 percent).
                 The success of this model got funding for a bigger
                 machine that was built for Manchester University by
                 Metropolitan-Vickers Electrical Company Ltd., using
                 drawings supplied by Vannevar Bush, and delivered in
                 1935. It had 4 integrators, and was smaller than the
                 Bush's 6-integrator machine at MIT in Cambridge, MA,
                 USA. Further success with the new machine in Manchester
                 generated funding to expand it to 8 integrators. During
                 World War II, Hartree's differential analyzer was taken
                 over by the Ministry of Supply, and from pp. 48--49:
                 ``was employed in a variety of problems including the
                 study of anomalous radar pulses in the troposphere,
                 calculations relating to the development of the radar
                 cavity magnetron, the study of anti-aircraft gun
                 controllers and the computation of the trajectories of
                 projectiles used to provide the armed forces with
                 ballistics tables.''",
  remark-4 =     "From chapter 8, on the analogue versus digital debate,
                 p. 256, crediting John D. Strong, who wrote in 1955:
                 ``One important advantage of the analogue computer is
                 its computing speed. As it performs all of its
                 computing operations simultaneously (instead of
                 sequentially as in the digital computer) the running
                 time is independent of the size of the problem. On
                 large problems the advantage is tremendous. One large
                 analogue-computing laboratory, which has acquired a
                 digital computer for checking purposes, reports a speed
                 advantage on some of their problems of over 100 to 1.",
  subject =      "Electronic analog computers; Great Britain; United
                 States; Calculateurs analogiques {\'e}electroniques;
                 Grande-Bretagne; {\'e}Etats-Unis; Electronic analog
                 computers",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "List of Figures / ix \\
                 List of Tables / xi \\
                 Acknowledgements / xiii \\
                 1: Introduction / 1 \\
                 2: Analogue computing devices in the 19th and early
                 20th centuries / 29 \\
                 3: The origins, form and function of electronic
                 analogue devices and computers 1937--1950 / 63 \\
                 4: Electronic analogue computer development,
                 1945--1955: Military programmes, aeronautics and
                 electronics / 85 \\
                 5: Commercialisation, hybridisation and competition:
                 the electronic and hybrid computer industry in the USA,
                 1945--1975 / 118 \\
                 6: The origins, commercialisation and decline of
                 electronic analogue and hybrid computing in Britain,
                 1945--1975 / 179 \\
                 7: Electronic analogue computers and engineering
                 culture / 225 \\
                 8: Negotiating a place for electronic analogue
                 computers: the analogue versus digital debate / 245 \\
                 9: Conclusion / 271 \\
                 Bibliography / 279 \\
                 List of Interviews / 308 \\
                 Index / 309",
}

@Book{FroeseFischer:2003:DRH,
  author =       "Charlotte {Froese Fischer}",
  title =        "{Douglas Rayner Hartree}: His Life in Science and
                 Computing",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xviii + 250",
  year =         "2003",
  DOI =          "https://doi.org/10.1142/9789812795014",
  ISBN =         "981-238-577-0",
  ISBN-13 =      "978-981-238-577-2",
  LCCN =         "Q143.H37",
  bibdate =      "Tue Jun 14 17:17:19 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  URL =          "http://ebooks.worldscinet.com/ISBN/9789812795014/9789812795014.html",
  acknowledgement = ack-nhfb,
  libnote =      "Not yet in my library.",
  subject =      "Hartree, Douglas Rayner; Hartree, Douglas R.
                 Quantenchemie; Geschichte; Quelle; Quantenphysik",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Front Matter i \\
                 The Hartree family 1 \\
                 Education, World War I, and marriage 9 \\
                 Early research at Cambridge University 23 \\
                 The new quantum mechanics 33 \\
                 Advances in atomic theory 47 \\
                 Radio waves in the atmosphere 65 \\
                 Professor at the University of Manchester 73 \\
                 The differential analyzer 85 \\
                 Control theory and industrial applications 103 \\
                 Laminar boundary layer theory 109 \\
                 Arrangements for war 115 \\
                 Wartime service 123 \\
                 Dawn of the computer era 145 \\
                 Returning to Cambridge 161 \\
                 Summers in North America 171 \\
                 Mathematical Laboratory, numerical analysis, and
                 teaching 177 \\
                 A trip to Australia 181 \\
                 Atomic structure research using EDSAC 187 \\
                 The final years 195 \\
                 His legacy 201 \\
                 Back Matter 213",
}

@Article{Lindh:2003:BTT,
  author =       "Roland Lindh and Per {\AA}ke Malmqvist",
  title =        "{Bj{\"o}rn}'s top ten",
  journal =      j-THEOR-CHEM-ACCOUNTS,
  volume =       "110",
  number =       "3",
  pages =        "115--117",
  month =        oct,
  year =         "2003",
  CODEN =        "TCACFW",
  DOI =          "https://doi.org/10.1007/s00214-003-0506-7",
  ISSN =         "1432-881X (print), 1432-2234 (electronic)",
  ISSN-L =       "1432-2234",
  bibdate =      "Mon Aug 14 12:10:46 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://link.springer.com/article/10.1007/s00214-003-0506-7",
  acknowledgement = ack-nhfb,
  fjournal =     "Theoretical Chemistry Accounts",
  fjournal =     "Theoretical Chemistry Accounts: Theory, Computation,
                 and Modeling (Theoretica Chimica Acta)",
  journal-URL =  "http://link.springer.com/journal/214",
  remark =       "From the introduction: ``On 1 July 2002 Bj{\=o}rn Olof
                 Roos was promoted to professor emeritus. To celebrate
                 this transition we wanted to honor his contributions to
                 chemistry by dedicating a special issue of
                 \booktitle{Theoretical Chemistry Accounts}.''",
  subject-dates = "Bj{\"o}rn Olof Roos (28 June 1937--22 February
                 2010)",
}

@InCollection{Darwin:2004:HDR,
  author =       "Charles G. Darwin and Jon Agar",
  booktitle =    "Oxford Dictionary of National Biography",
  title =        "{Hartree, Douglas Rayner} (1897--1958), mathematician
                 and theoretical physicist",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "??--??",
  year =         "2004",
  DOI =          "https://doi.org/10.1093/ref:odnb/33743",
  bibdate =      "Thu May 02 07:00:03 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.oxforddnb.com/view/10.1093/ref:odnb/9780198614128.001.0001/odnb-9780198614128-e-33743",
  acknowledgement = ack-nhfb,
  remark =       "The Oxford DNB was first published as 60 print
                 volumes, and is continually updated online.",
}

@Article{Jones:2004:FBB,
  author =       "Allan Jones",
  title =        "Five 1951 {BBC} Broadcasts on Automatic Calculating
                 Machines",
  journal =      j-IEEE-ANN-HIST-COMPUT,
  volume =       "26",
  number =       "2",
  pages =        "3--15",
  month =        apr # "\slash " # jun,
  year =         "2004",
  CODEN =        "IAHCEX",
  DOI =          "https://doi.org/10.1109/MAHC.2004.1299654",
  ISSN =         "1058-6180 (print), 1934-1547 (electronic)",
  ISSN-L =       "1058-6180",
  bibdate =      "Sat Dec 11 18:28:43 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
  URL =          "http://csdl.computer.org/comp/mags/an/2004/02/a2003abs.htm;
                 http://csdl.computer.org/dl/mags/an/2004/02/a2003.htm;
                 http://csdl.computer.org/dl/mags/an/2004/02/a2003.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Ann. Hist. Comput.",
  fjournal =     "IEEE Annals of the History of Computing",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
  keywords =     "Alan Turing; Douglas Hartree; Frederic (``Freddie'')
                 Williams; Maurice Wilkes; Max Newman",
}

@Article{Croarken:2005:BRD,
  author =       "Mary Croarken",
  title =        "Book Review: {{\booktitle{Douglas Rayner Hartree: His
                 Life in Science and Computing}} by Charlotte Froese
                 Fischer}",
  journal =      j-TECH-CULTURE,
  volume =       "46",
  number =       "4",
  pages =        "859--860",
  month =        oct,
  year =         "2005",
  CODEN =        "TECUA3",
  DOI =          "https://doi.org/10.1353/tech.2006.0007",
  ISSN =         "0040-165X (print), 1097-3729 (electronic)",
  ISSN-L =       "0040-165X",
  bibdate =      "Mon Aug 14 08:39:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/techculture2000.bib",
  URL =          "http://www.jstor.org/stable/40060989",
  acknowledgement = ack-nhfb,
  ajournal =     "Tech. Culture",
  fjournal =     "Technology and Culture",
  journal-URL =  "https://muse.jhu.edu/journal/194",
  reviewed-author = "Charlotte Froese Fischer",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  urldate =      "2023-08-14",
}

@Book{Reiher:2005:RQC,
  author =       "M. Reiher",
  title =        "Relativistic Quantum Chemistry: the Fundamental Theory
                 of Molecular Science",
  publisher =    "Wiley-VCH",
  address =      "Weinheim, Germany",
  pages =        "xix + 669",
  year =         "2005",
  DOI =          "https://doi.org/10.1002/9783527627486",
  ISBN =         "3-527-31292-7 (hardcover), 3-527-62749-9 (e-book)",
  ISBN-13 =      "978-3-527-31292-4 (hardcover), 978-3-527-62749-3
                 (e-book)",
  LCCN =         "QD462.6.R42 .R454 2009",
  bibdate =      "Tue Aug 8 11:39:04 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  subject =      "Quantum chemistry; Chimie quantique; 35.11 quantum
                 chemistry, chemical bonds; Relativistic approach;
                 Electrodynamics; Special relativity theory; Quantum
                 physics; Dirac equation; Many-particle systems",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Front Matter / i--xix \\
                 1: Introduction / 1--8 \\
                 Part I: Fundamentals \\
                 2: Elements of Classical Mechanics and Electrodynamics
                 / 9--50 \\
                 3: Concepts of Special Relativity / 51--112 \\
                 4: Basics of Quantum Mechanics / 113--150 \\
                 Part II: Dirac's Theory of the Electron \\
                 5: Relativistic Theory of the Electron / 151--182 \\
                 6: The Dirac Hydrogen Atom / 183--224 \\
                 Part III: Four-Component Many-Electron Theory \\
                 7: Quantum Electrodynamics / 227--238 \\
                 8: First-Quantized Dirac-Based Many-Electron Theory /
                 239--313 \\
                 9: Many-Electron Atoms / 315--383 \\
                 10: General Molecules and Molecular Aggregates /
                 385--412 \\
                 Part IV: Two-Component Hamiltonians \\
                 11: Decoupling the Negative-Energy States / 413--446
                 \\
                 12: Douglas--Kroll--Hess Theory / 447--478 \\
                 13: Elimination Techniques / 479--501 \\
                 Part V: Chemistry with Relativistic Hamiltonians \\
                 14: Special Computational Techniques / 503--515 \\
                 15: External Electromagnetic Fields and Molecular
                 Properties / 517--554 \\
                 16: Relativistic Effects in Chemistry / 555--579 \\
                 Part: Appendices \\
                 A: Vector and Tensor Calculus / 580--587 \\
                 B: Kinetic Energy in Generalized Coordinates / 589--590
                 \\
                 C: Technical Proofs for Special Relativity / 591--595
                 \\
                 D: Relations for Pauli and Dirac Matrices / 597--600
                 \\
                 E: Fourier Transformations / 601--604 \\
                 F: Discretization and Quadrature Schemes / 605--610 \\
                 G: List of Abbreviations and Acronyms / 611--612 \\
                 H: List of Symbols / 613--614 \\
                 References / 615--656 \\
                 Index / 657--669",
}

@Article{Campbell-Kelly:2006:DJW,
  author =       "Martin Campbell-Kelly",
  title =        "{David John Wheeler. 9 February 1927--13 December
                 2004}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "52",
  pages =        "437--453",
  month =        jan,
  year =         "2006",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.2006.0030",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Misc{OConnor:2006:VAF,
  author =       "J. J. O'Connor and E. F. Robertson",
  title =        "{Vladimir Aleksandrovich Fock}",
  howpublished = "MacTutor Web site",
  month =        nov,
  year =         "2006",
  bibdate =      "Sat Aug 12 09:55:49 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://mathshistory.st-andrews.ac.uk/Biographies/Fock/",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Dyall:2007:IRQ,
  author =       "Kenneth G. Dyall and Knut Faegri",
  title =        "Introduction to Relativistic Quantum Chemistry",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xiv + 530",
  year =         "2007",
  ISBN =         "0-19-803230-7",
  ISBN-13 =      "978-0-19-514086-6, 978-0-19-803230-4",
  LCCN =         "????",
  bibdate =      "Tue Aug 8 10:08:39 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "PART I: Foundations \\
                 1. Introduction \\
                 2. Basic Special Relativity \\
                 3. Relativistic Electromagnetic Interactions PART II:
                 The Dirac Equation: Solutions and Properties \\
                 4. The Dirac Equation \\
                 5. Negative-Energy States and Quantum Electrodynamics
                 \\
                 6. Relativistic Symmetry \\
                 7. One-Electron Atoms \\
                 8. Properties of Relativistic Mean-Field Theory \\
                 PART III: Four-Component Methodology \\
                 9. Operators, Matrix Elements and Wave Functions under
                 Time Reversal Symmetry \\
                 10. Matrices and Wave Functions under Double-Group
                 Symmetry \\
                 11. Basis Set Expansions of Relativistic Electronic
                 Wave Functions \\
                 12. Correlation Methods \\
                 13. Molecular properties \\
                 14. Density Functional Approaches to Relativistic
                 Quantum Mechanics \\
                 PART IV: Approximations to the Dirac equation \\
                 15. Spin Separation and the Modified Dirac Equation \\
                 16. Unitary Transformations of the Dirac Hamiltonian
                 \\
                 17. Perturbation Methods \\
                 18. Regular Approximations \\
                 19. Matrix Approximations \\
                 20. Core Approximations \\
                 21. Spin-orbit Configuration Interaction Methods \\
                 PART V: The Nature of the Relativistic Chemical Bond
                 \\
                 22. Relativistic Effects on Molecular Bonding and
                 Structure \\
                 Appendix A: Four-vector Quantities \\
                 Appendix B: Vector Relations \\
                 Appendix C: Elements of Group Theory \\
                 Appendix D: Group Tables \\
                 Appendix E: Change of Metric for Modified Wave
                 Functions \\
                 Appendix F: Two-Electron Gauge Terms for the Modified
                 Dirac Operator \\
                 Appendix G: The Second-Order Term of the Douglas--Kroll
                 Expansion \\
                 Appendix H: Transformed Operators for Electric and
                 Magnetic Properties \\
                 Appendix I: Gauge Term Contributions from the Breit
                 Interaction to the Breit--Pauli Hamiltonian \\
                 Appendix J: Approximations in Relativistic Density
                 Functional Theory \\
                 Appendix K: The Cowan--Griffin and Wood--Boring
                 Equations \\
                 Appendix L: Supplementary Reading Bibliography",
}

@InCollection{Croarken:2008:HDR,
  author =       "Mary Croarken",
  title =        "{Hartree, Douglas Rayner}",
  crossref =     "Hyrtl:2008:CDS",
  pages =        "147--148",
  year =         "2008",
  bibdate =      "Tue Aug 08 10:05:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Priestley:2010:SOM,
  author =       "Mark Priestley",
  title =        "A Science of Operations: Machines, Logic and the
                 Invention of Programming",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 341",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-1-84882-555-0",
  ISBN =         "1-84882-554-4 (hardcover), 1-84882-555-2 (e-book)",
  ISBN-13 =      "978-1-84882-554-3 (hardcover), 978-1-84882-555-0
                 (e-book)",
  LCCN =         "QA76.6 .P737 2010",
  bibdate =      "Sat Mar 24 12:15:16 MDT 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hoare-c-a-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lovelace-ada-augusta.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wirth-niklaus.bib;
                 https://www.math.utah.edu/pub/tex/bib/bjhs2010.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "History of computing",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "1. Introduction \\
                 2. Babbage's Engines \\
                 3. Semi-Automatic Computing \\
                 4. Logic, Computability and Formal Systems \\
                 5. Automating Control \\
                 6. Logic and the Invention of the Computer \\
                 7. Machine Code Programming and Logic \\
                 8. The Invention of Programming Languages \\
                 9. The Algol Research Programme \\
                 10. The Logic of Correctness in Software Engineering
                 \\
                 11. The Unification of Data and Algorithms \\
                 12. Conclusions",
  subject =      "Computer programming; History; Programming languages
                 (Electronic computers); Microcomputers; Logic, Symbolic
                 and mathematical",
  tableofcontents = "1 Introduction / 1 \\
                 1.1 Minds, Method and Machines / 3 \\
                 1.2 Language and Science / 4 \\
                 1.3 The Age of Machinery / 7 \\
                 1.4 The Mechanization of Mathematical Language / 8 \\
                 2 Babbage's Engines / 17 \\
                 2.1 The Division of Mental Labour / 18 \\
                 2.2 The Difference Engine / 21 \\
                 2.3 The Meanings of the Difference Engine / 25 \\
                 2.4 The Mechanical Notation / 28 \\
                 2.5 The Analytical Engine / 31 \\
                 2.6 The Science of Operations / 41 \\
                 2.7 The Meanings of the Analytical Engine / 44 \\
                 2.8 Conclusions / 48 \\
                 3 Semi-Automatic Computing / 53 \\
                 3.1 The Census Problem / 53 \\
                 3.2 The Hollerith Tabulating System of 1890 / 55 \\
                 3.3 Further Developments in Punched Card Machines / 57
                 \\
                 3.4 Comrie and the Mechanization of Scientific
                 Calculation / 60 \\
                 3.5 Semi-Automatic Programming / 65 \\
                 4 Logic, Computability and Formal Systems / 67 \\
                 4.1 G{\"o}del's Construction / 69 \\
                 4.2 Recursive Functions / 72 \\
                 4.3 $\lambda$-definability / 74 \\
                 4.4 Direct Approaches to Defining Effective
                 Computability / 75 \\
                 4.5 Turing's Machine Table Notation / 77 \\
                 4.6 Universal Machines / 89 \\
                 4.7 The Concept of a Formal Language / 92 \\
                 4.8 The Relationship Between Turing's Work and Logic /
                 96 \\
                 5 Automating Control / 99 \\
                 5.1 Konrad Zuse's Early Machines / 100 \\
                 5.2 Mark I: The Automatic Sequence Controlled
                 Calculator / 102 \\
                 5.3 The ENIAC / 107 \\
                 5.4 The Bell Labs Relay Machines / 115 \\
                 5.5 The Significance of the Automatic Calculators / 118
                 \\
                 6 Logic and the Invention of the Computer / 123 \\
                 6.1 The Origins of the Stored-Program Computer / 126
                 \\
                 6.2 The Early Development of Cybernetics / 130 \\
                 6.3 Von Neumann's Design for the EDVAC / 133 \\
                 6.4 Logic and the Stored-Program Concept / 136 \\
                 6.5 The EDVAC Code and Address Modification / 139 \\
                 6.6 Turing and the ACE / 142 \\
                 6.7 Giant Brains / 145 \\
                 6.8 Universal Machines / 147 \\
                 6.9 General-Purpose Machines / 153 \\
                 6.10 Conclusions / 154 \\
                 7 Machine Code Programming and Logic / 157 \\
                 7.1 Sequencing of Operations / 158 \\
                 7.2 Transfer of Control / 162 \\
                 7.3 Condition Testing / 164 \\
                 7.4 Instruction Modification / 167 \\
                 7.5 Subroutines / 170 \\
                 7.6 Machine Code and Program Structures / 172 \\
                 7.7 Machine Code and Logic / 174 \\
                 7.8 Syntax / 176 \\
                 7.9 Flow Diagrams and Program Semantics / 179 \\
                 7.10 Programs as Metalinguistic Expressions / 182 \\
                 7.11 Conclusions / 183 \\
                 8 The Invention of Programming Languages / 185 \\
                 8.1 Automatic Coding / 186 \\
                 8.2 The Semantics of Pseudocodes / 188 \\
                 8.3 Formula Translation / 193 \\
                 8.4 Fortran and Increasing Linguistic Complexity / 197
                 \\
                 8.5 Universal Languages / 204 \\
                 8.6 Algol 60 as a Formal Language / 209 \\
                 8.7 The Influence of Logic on Algol / 217 \\
                 8.8 Lisp and Recursive Function Theory / 220 \\
                 8.9 Conclusions / 224 \\
                 9 The Algol Research Programme / 225 \\
                 9.1 Algol 60 as a Concrete Paradigm / 226 \\
                 9.2 Normal Science in the Algol Research Programme /
                 229 \\
                 9.3 The Description of Programming Languages / 230 \\
                 9.4 Different Philosophies of Programming Language
                 Design / 237 \\
                 9.5 Logic and the Design of Control Structures / 239
                 \\
                 9.6 Logic and Data Structures / 244 \\
                 9.7 Modelling Data for Information Retrieval / 247 \\
                 9.8 Conclusions / 252 \\
                 10 The Logic of Correctness in Software Engineering /
                 253 \\
                 10.1 Checking Computations / 253 \\
                 10.2 Debugging and Testing / 255 \\
                 10.3 Correctness Proofs / 257 \\
                 10.4 Constructive Methods / 261 \\
                 10.5 Specifications and Correctness / 263 \\
                 10.6 Structured Programming / 265 \\
                 10.7 Proof and Testing / 269 \\
                 10.8 Conclusions / 275 \\
                 11 The Unification of Data and Algorithms / 277 \\
                 11.1 Simulation Languages / 278 \\
                 11.2 Modelling the Real World / 281 \\
                 11.3 Simula 67 / 282 \\
                 11.4 Data Abstraction / 283 \\
                 11.5 Smalltalk / 288 \\
                 11.6 The Relationship Between Smalltalk and Logic / 293
                 \\
                 11.7 Conclusions / 296 \\
                 12 Conclusions / 297 \\
                 12.1 Paradigms and Revolutions / 298 \\
                 12.2 Relating Theory and Practice / 301 \\
                 12.3 Methodological Conclusions / 303 \\
                 Appendix Turing's Universal Machine / 307 \\
                 A.1 General Purpose $m$-functions / 307 \\
                 A.2 The Contents of the Tape / 310 \\
                 A.3 The Main Table / 312 \\
                 References / 317 \\
                 Index / 335",
}

@InProceedings{Simon:2010:BHCa,
  author =       "David H. Simon and Y. Y. Lau and Wilkin Tang and Keith
                 Cartwright and Brad Hoff and R. M. Gilgenbach and John
                 W. Luginsland",
  booktitle =    "{2010 IEEE International Vacuum Electronics Conference
                 (IVEC)}",
  title =        "21.5: {Buneman--Hartree} condition revisited",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  month =        may,
  year =         "2010",
  DOI =          "https://doi.org/10.1109/ivelec.2010.5503483",
  bibdate =      "Sat Aug 5 08:31:39 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Oscar Buneman (28 September 1913--24 January
                 1993)",
}

@InProceedings{Simon:2010:BHCb,
  author =       "D. H. Simon and Y. Y. Lau and R. M. Gilgenbach and W.
                 Tang and B. Hoff and K. L. Cartwright and John W.
                 Luginsland",
  booktitle =    "2010 Abstracts {IEEE} International Conference on
                 Plasma Science",
  title =        "{Buneman--Hartree} condition re-visited",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  month =        jun,
  year =         "2010",
  bibdate =      "Sat Aug 5 08:31:39 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://ieeexplore.ieee.org/document/5533892",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Oscar Buneman (28 September 1913--24 January
                 1993)",
}

@InCollection{Gavroglou:2011:DRH,
  author =       "K{\=o}stas Gavroglou and Ana Sim{\~o}es",
  title =        "{Douglas Rayner Hartree}: {``A} Computing and
                 Classifying Physicist''",
  crossref =     "Gavroglou:2011:NPN",
  chapter =      "3 [subsection]",
  pages =        "138--143",
  year =         "2011",
  bibdate =      "Mon Aug 07 16:20:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@InProceedings{Meyer-Spasche:2011:OBE,
  author =       "Rita Meyer-Spasche",
  title =        "{Oscar Buneman und die Entwicklung von
                 Teilchen-Methoden}. ({German}) [{Oscar Buneman} and the
                 development of particle methods]",
  crossref =     "Gebelein:2011:FRG",
  pages =        "86--99",
  year =         "2011",
  bibdate =      "Fri Sep 08 15:37:22 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  language =     "German",
  remark =       "Cited in \cite[p. 35]{Meyer-Spasche:2014:COB} with a
                 comment about Buneman's citation classic paper that for
                 25 years was the most cited in the field of plasma
                 simulation.",
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Article{Siegbahn:2011:BRM,
  author =       "Per Siegbahn and Roland Lindh",
  title =        "{Bj{\"o}rn O. Roos}: 1937--2010. {Mentor}, colleague,
                 innovator",
  journal =      j-IJQC,
  volume =       "111",
  number =       "13",
  pages =        "3256--3259",
  day =          "5",
  month =        nov,
  year =         "2011",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/qua.23104",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Sat Oct 1 15:40:11 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijqc2010.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Int. J. Quantum Chem.",
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  onlinedate =   "25 Apr 2011",
  subject-dates = "Bj{\"o}rn Olof Roos (28 June 1937--22 February
                 2010)",
}

@Article{VanderKloot:2011:MSV,
  author =       "William {Van der Kloot}",
  title =        "Mirrors and smoke: {A. V. Hill}, his Brigands, and the
                 science of anti-aircraft gunnery in {World War I}",
  journal =      j-NOTES-REC-R-SOC-LOND,
  volume =       "65",
  number =       "4",
  pages =        "393--410",
  month =        jul,
  year =         "2011",
  CODEN =        "NOREAY",
  DOI =          "https://doi.org/10.1098/rsnr.2010.0090",
  ISSN =         "0035-9149 (print), 1743-0178 (electronic)",
  ISSN-L =       "0035-9149",
  bibdate =      "Thu Aug 3 09:54:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Notes and Records of the Royal Society of London",
  journal-URL =  "http://rsnr.royalsocietypublishing.org/",
  keywords =     "Douglas Rayner Hartree; William Hartree",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Book{Califano:2012:PMC,
  author =       "Salvatore Califano",
  title =        "Pathways to Modern Chemical Physics",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "2012",
  DOI =          "https://doi.org/10.1007/978-3-642-28180-8",
  ISBN =         "3-642-28179-6 (hardcover), 3-642-28180-X (e-book)",
  ISBN-13 =      "978-3-642-28179-2 (hardcover), 978-3-642-28180-8
                 (e-book)",
  LCCN =         "QD453.3 .C35 2012",
  bibdate =      "Fri Aug 11 17:15:07 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "In this historical volume, Salvatore Califano traces
                 the developments of ideas and theories in physical and
                 theoretical chemistry throughout the 20th century. This
                 seldom-told narrative provides details of topics from
                 thermodynamics to atomic structure, radioactivity and
                 quantum chemistry. Califano's expertise as a physical
                 chemist allows him to judge the historical developments
                 from the point of view of modern chemistry. This
                 detailed and unique historical narrative is fascinating
                 for chemists working in the fields of physical
                 chemistry and is also a useful resource for science
                 historians who will enjoy access to material not
                 previously dealt with in a coherent way.",
  acknowledgement = ack-nhfb,
  subject =      "Physical organic chemistry; Chemistry; Physical
                 Chemistry; History and Philosophical Foundations of
                 Physics; Theoretical and Computational Chemistry;
                 Chimie organique physique; Chimie; Physical organic
                 chemistry",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Front Matter / i--xii \\
                 Chemistry and Energy / 1--25 \\
                 Kinetics and Chemical Equilibrium / 27--57 \\
                 Matter and Electricity / 59--85 \\
                 Chemical Physics Structural Techniques / 87--108 \\
                 The Electron and Atomic Structure / 109--134 \\
                 Radioactivity / 135--166 \\
                 From Quantum Mechanics to Quantum Chemistry / 167--222
                 \\
                 The Mechanisms of Chemical Reactions / 223--269 \\
                 Erratum to: Copyright / E1--E1 \\
                 Back Matter / 271--283",
}

@Article{Johansson:2012:IFH,
  author =       "Adam Johannes Johansson",
  title =        "{Inga Fischer-Hjalmars} (1918--2008): {Swedish}
                 Pharmacist, Humanist, and Pioneer Quantum Chemist",
  journal =      j-J-CHEM-EDUC,
  volume =       "89",
  number =       "10",
  pages =        "1274--1279",
  month =        aug,
  year =         "2012",
  CODEN =        "JCEDA8",
  DOI =          "https://doi.org/10.1021/ed300024g",
  ISSN =         "0021-9584 (print), 1938-1328 (electronic)",
  ISSN-L =       "0021-9584",
  bibdate =      "Mon Aug 14 10:18:47 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://pubs.acs.org/doi/10.1021/ed300024g",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Education",
  journal-URL =  "http://pubs.acs.org/journal/jceda8",
  remark =       "From pp. 1275--1277: ``Although Inga Fischer was not
                 on the patent of Xylocaine [Lidocaine in the USA], it
                 has been said that she synthesized this particular
                 compound for the very first time. \ldots{} After some
                 time, L{\"o}fgren managed to secure 50g of
                 2,6-xylidine, which was enough to make a single batch
                 of Xylocaine for further tests. Failure was not an
                 option, so L{\"o}fgren wanted the synthesis to be
                 performed by someone he trusted. Since Inga had a
                 reputation of being very skillful and precautious in
                 the laboratory, it fell on her fate to make the first
                 synthesis of Xylocaine on a larger scale. Xylocaine is
                 one of the most successful commercialized scientific
                 advances ever made in Sweden, and to participate in
                 such project as a young scientist gave Inga a good
                 start in her career. \ldots{} The practical usefulness
                 of Xylocaine made local anesthesia an attractive
                 alternative to narcosis in many cases of light surgery
                 and it also became very popular among dentists. For
                 these two reasons, the world market for local
                 anesthetics increased dramatically after the release of
                 Xylocaine in 1948. \ldots{} During the conference [in
                 1948 in Paris, France], Inga Fischer was introduced to
                 Charles Coulson, which resulted in Inga spending the
                 winter of 1948--1949 doing research at King's College
                 in London. \ldots{} The paper \cite{Coulson:1949:XNM}
                 pointed out which way the development of more accurate
                 methods had to take, which a few years later resulted
                 in the development of the unrestricted Hartree--Fock
                 (UHF) formalism. Furthermore, this was one of the
                 earliest papers showing that the VB and MO methods are
                 two different approximations of the more general method
                 of configuration interaction (CI). It seems fair to say
                 that the Coulson--Fischer paper is a milestone in the
                 development of quantum chemistry.''",
}

@Book{Cossons:2013:MST,
  editor =       "Neil Cossons and Peter Morris and James C. Hart and
                 Lesley Henderson and Philip Sayer",
  title =        "Milestones of Science and Technology: Making of the
                 Modern World",
  publisher =    "KWS",
  address =      "Chicago, IL, USA",
  edition =      "Second",
  pages =        "270 + 113",
  year =         "2013",
  ISBN =         "0-9817736-5-6",
  ISBN-13 =      "978-0-9817736-5-0",
  LCCN =         "QA76 .M55 2013",
  bibdate =      "Sat Aug 5 14:59:21 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "The Kodak camera, the CT scanner, the steam turbine,
                 the telephone --- such inventions not only changed the
                 course of history, but also changed our understanding
                 of what the human race could achieve. An authoritative
                 guide to the remarkable history of human innovation,
                 this second edition, published in collaboration with
                 London's Science Museum, brings readers up to date with
                 insightful examinations of the new, present-day
                 technologies society already takes for granted--from
                 magnetic resonance imaging to the Internet. Organized
                 chronologically, the book begins with a look at
                 scientific achievement in the early Middle Ages and the
                 navigational tools that mapped the New World before
                 moving on to the steam-powered machines of the
                 Industrial Revolution, the lifesaving medicines of
                 World Wars I and II, and the dynamically designed
                 consumer goods of the 1950s and 1960s. An essay about
                 each invention, written by an expert from London's
                 Science Museum, includes a short history of the
                 invention's creation, use, and significance.",
  acknowledgement = ack-nhfb,
  remark =       "Reported to contain a photo of Hartree's differential
                 analyser.",
  subject =      "Inventions; History; Technology; Technological
                 innovations; Histoire; Technologie",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Zangwill:2013:HTF,
  author =       "Andrew Zangwill",
  title =        "{Hartree} and {Thomas}: the forefathers of density
                 functional theory",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "67",
  number =       "3",
  pages =        "331--348",
  month =        may,
  year =         "2013",
  CODEN =        "AHESAN",
  DOI =          "https://doi.org/10.1007/s00407-013-0114-4",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  ISSN-L =       "0003-9519",
  bibdate =      "Tue Jun 18 09:50:54 MDT 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=67&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib",
  URL =          "http://link.springer.com/article/10.1007/s00407-013-0114-4",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  journal-URL =  "http://link.springer.com/journal/407",
}

@Article{Campbell-Kelly:2014:SMV,
  author =       "Martin Campbell-Kelly",
  title =        "{Sir Maurice Vincent Wilkes. 26 June 1913--29 November
                 2010}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "60",
  pages =        "433--454",
  month =        jan,
  year =         "2014",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.2013.0020",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Thu Aug 17 09:01:37 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://doi.org/10.1098/rsbm.2013.0020",
  acknowledgement = ack-nhfb,
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "http://www.jstor.org/journals/00804606.html;
                 https://royalsocietypublishing.org/journal/rsbm",
  remark-1 =     "From p. 436: ``In his second year as a research
                 student, Wilkes attended a lecture by Douglas Hartree
                 FRS, Professor of Applied Mathematics at Manchester
                 University, which changed the course of his life.''",
  remark-2 =     "From p. 437: ``The Laboratory had a budget for a
                 full-scale differential analyser, and a copy of the
                 machine constructed for Manchester University was
                 ordered from Metropolitan--Vickers. This necessitated
                 Wilkes making a trip to Manchester, where he met
                 Douglas Hartree in person for the first time. Hartree
                 collected Wilkes from the railway station in his motor
                 car, and put him up in his home. It was the beginning
                 of a lasting friendship. When Hartree moved to the
                 University of Cambridge after World War II, he became a
                 kind of godfather to the Laboratory. However, no sooner
                 was the differential analyser delivered than Britain
                 was at war. The facilities of the Laboratory were taken
                 over by the Ministry of Supply, and Wilkes was enlisted
                 in the scientific war effort.''",
  remark-3 =     "From page 441: ``Wilkes duly received an offer from
                 Addison-Wesley, and the book appeared in 1951 under the
                 title The preparation of programs for an electronic
                 digital computer (18). The book was essentially the
                 same as the September 1950 report, with the addition of
                 a foreword by Hartree and Americanized spelling. Wilkes
                 included as co-authors Wheeler and Gill (the latter had
                 developed ground-breaking debugging techniques), and
                 the book became known as Wilkes, Wheeler and Gill, or
                 WWG for short. It was the first textbook on
                 programming, and because it was published at a time
                 when the first computers were just coming into
                 operation it rushed in to fill the vacuum of knowledge
                 about programming. The book influenced programming
                 techniques almost everywhere (indeed, the subroutine
                 library, organized in the manner invented by Wheeler,
                 remains a fundamental principle of most programming
                 systems up to the present day). WWG was perhaps the
                 single most important outcome of the EDSAC.''",
  remark-4 =     "From page 441: ``His first real application program
                 was for the integration of Airy's differential equation
                 a type that tended to arise in atmospheric physics. In
                 writing this program he made one of the most profound
                 discoveries in computing: that getting programs right
                 was very difficult. His was a short program of 126
                 instructions, but it contained about 20 errors. It was
                 only after at least a dozen attempts that he finally
                 coaxed the correct results out of the machine. \ldots{}
                 the realization came over me with full force that a
                 good part of the remainder of my life was going to be
                 spent in finding errors in my own programs.''",
  remark-5 =     "From p. 449: ``While he was in the USA, and after he
                 returned to the UK in 1986, Wilkes spent more and more
                 time exploring the history of his subject. He had a
                 remarkable instinct for doing history, and in another
                 life that is the path his academic career might have
                 taken. His special interest was Charles Babbage, of
                 whom he first learned from Hartree in 1946. It says
                 much of Wilkes's commitment that in May 1949 --- the
                 month in which EDSAC began to work --- he found time to
                 visit the Science Museum in London to study Babbage's
                 scientific manuscripts. He was the first person of the
                 computer era to go back to the primary sources. In 1971
                 he gave the principal address (33) at a memorial
                 meeting marking the centenary of Babbage's death,''",
}

@Article{Meyer-Spasche:2014:COB,
  author =       "Rita Meyer-Spasche",
  title =        "Cosmopolitan {Oscar Buneman} (1913--1993): his
                 serpentine path from {Milan} to {Stanford}",
  journal =      j-ALMAGEST,
  volume =       "5",
  number =       "2",
  pages =        "26--39",
  year =         "2014",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1484/J.ALMAGEST.5.103565",
  ISSN =         "1792-2593",
  ISSN-L =       "1792-2593",
  bibdate =      "Thu Sep 7 18:15:00 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/almagest.bib",
  URL =          "https://www.brepolsonline.net/doi/epdf/10.1484/J.ALMAGEST.5.103565",
  acknowledgement = ack-nhfb,
  ajournal =     "Almagest",
  fjournal =     "Almagest: International Journal for the History of
                 Scientific Ideas",
  journal-URL =  "https://www.brepolsonline.net/loi/almagest",
  remark-1 =     "From page 33: ``Oscar Buneman probably would have
                 liked to stay in the US. He applied for several jobs
                 there. Documented are a letter to Professor John C.
                 Slater at the Massachusetts Institute of Technology
                 (July 1945) and an application to return to the
                 Lawrence Berkeley Laboratory at the University of
                 California (December 1945). Professor Slater and George
                 Everson (in the name of Professor Lawrence) answered
                 essentially in the same way: `We are planning work in
                 which you would be very interested, we would love to
                 have you here, but, as you are an alien, we do not have
                 a suitable permanent position for you. We can only
                 offer you to join our staff while you are waiting for a
                 suitable opportunity in the academic field to present
                 itself'.''",
  remark-2 =     "From page 35: ``During the academic year 1957/58 he
                 [Buneman] spent a sabbatical at Stanford University.
                 During this stay, he had access to the biggest and
                 fastest computer of the time and he did (one of) the
                 first numerical simulations of plasma particles. This
                 work resulted in a publication that became not only his
                 most cited paper, but also a citation classic: in 1984,
                 25 years after its publication, it was the most cited
                 paper in the field (Meyer-Spasche 2011)
                 \cite{Meyer-Spasche:2011:OBE}.''",
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Article{Sumner:2014:DCV,
  author =       "James Sumner",
  title =        "Defiance to compliance: Visions of the computer in
                 postwar {Britain}",
  journal =      j-HIST-TECHNOL,
  volume =       "30",
  number =       "4",
  pages =        "309--333",
  year =         "2014",
  CODEN =        "HITEE8",
  DOI =          "https://doi.org/10.1080/07341512.2015.1008962",
  ISSN =         "0734-1512 (print), 1477-2620 (electronic)",
  ISSN-L =       "0734-1512",
  bibdate =      "Tue Mar 1 16:34:55 MST 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lovelace-ada-augusta.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
                 https://www.math.utah.edu/pub/tex/bib/histtechnol.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Hist. Technol.",
  fjournal =     "History and Technology",
  journal-URL =  "http://www.tandfonline.com/loi/ghat20",
  keywords =     "Ada Lovelace; Charles Babbage",
  remark =       "From p. 315: ``Bowden [see Bowden:1953:FTT in Turing
                 bibliography] first learned of Babbage through the
                 mathematician Douglas Hartree, who played a key role in
                 originating both the Manchester and Cambridge computer
                 projects, and had emphasised conceptual similarities to
                 Babbage's largely unbuilt specifications in some of the
                 earliest published accounts of the new electronic
                 machines.''",
}

@Book{Reiher:2015:RQC,
  author =       "Markus Reiher and Alexander Wolf",
  title =        "Relativistic Quantum Chemistry: the Fundamental Theory
                 of Molecular Science",
  publisher =    "Wiley-VCH Verlag GmbH and Co. KGaA",
  address =      "Weinheim, Germany",
  edition =      "Second",
  pages =        "xxv + 737",
  year =         "2015",
  DOI =          "https://doi.org/10.1002/9783527667550",
  ISBN =         "3-527-33415-7 (hardcover), 3-527-66755-5 (oBook),
                 3-527-66756-3 (Mobi), 3-527-66757-1 (ePDF),
                 3-527-66758-X (ePub)",
  ISBN-13 =      "978-3-527-33415-5 (hardcover), 978-3-527-66755-0
                 (oBook), 978-3-527-66756-7 (Mobi), 978-3-527-66757-4
                 (ePDF), 978-3-527-66758-1 (ePub)",
  LCCN =         "QD462.6.R42",
  bibdate =      "Tue Aug 8 13:40:06 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "http://onlinelibrary.wiley.com/book/10.1002/9783527667550",
  acknowledgement = ack-nhfb,
  subject =      "Quantum chemistry; Relativistic quantum theory; Chimie
                 quantique; Th{\'y}eorie quantique relativiste; Quantum
                 chemistry.; Relativistic quantum theory.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Front Matter / i--xxv \\
                 1: Introduction / 1--8 \\
                 Part I: Fundamentals \\
                 2: Elements of Classical Mechanics and Electrodynamics
                 / 9--51 \\
                 3: Concepts of Special Relativity / 53--115 \\
                 4: Basics of Quantum Mechanics / 117--157 \\
                 Part II: Dirac's Theory of the Electron \\
                 5: Relativistic Theory of the Electron / 159--191 \\
                 6: The Dirac Hydrogen Atom / 193--234 \\
                 Part III: Four-Component Many-Electron Theory \\
                 7: Quantum Electrodynamics / 235--248 \\
                 8: First-Quantized Dirac-Based Many-Electron Theory /
                 249--331 \\
                 9: Many-Electron Atoms / 333--402 \\
                 10: General Molecules and Molecular Aggregates /
                 403--431 \\
                 Part IV: Two-Component Hamiltonians \\
                 11: Decoupling the Negative-Energy States / 433--467
                 \\
                 12: Douglas--Kroll--Hess Theory / 469--501 \\
                 13: Elimination Techniques / 503--526 \\
                 Part V: Chemistry with Relativistic Hamiltonians \\
                 14: Special Computational Techniques / 527--566 \\
                 15: External Electromagnetic Fields and Molecular
                 Properties / 567--604 \\
                 16: Relativistic Effects in Chemistry / 605--630 \\
                 A: Vector and Tensor Calculus / 631--639 \\
                 B: Kinetic Energy in Generalized Coordinates / 641--642
                 \\
                 C: Technical Proofs for Special Relativity / 643--647
                 \\
                 D: Relations for Pauli and Dirac Matrices / 649--652
                 \\
                 E: Fourier Transformations / 653--656 \\
                 F: Gordon Decomposition / 657--660 \\
                 G: Discretization and Quadrature Schemes / 661--666 \\
                 H: List of Abbreviations and Acronyms / 667--668 \\
                 I: List of Symbols / 669--671 \\
                 J: Units and Dimensions / 673--674 \\
                 References / 675--724 \\
                 Index / 725--737",
}

@Article{Martinez:2016:HFM,
  author =       "Jean-Philippe Martinez",
  title =        "The {Hartree--Fock} method: from self-consistency to
                 correct symmetry",
  journal =      j-ANN-PHYS-1900,
  volume =       "529",
  number =       "1--2",
  pages =        "1600328",
  month =        dec,
  year =         "2016",
  DOI =          "https://doi.org/10.1002/andp.201600328",
  ISSN =         "1521-3889",
  bibdate =      "Fri Aug 11 17:11:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See also \cite{Martinez:2018:VFI} for a dissertation
                 on Fock's scientific life.",
  abstract =     "The Hartree--Fock method, one of the first
                 applications of the new quantum mechanics in the frame
                 of the many-body problem, is a good example of the
                 attempts of many physicists to adapt their work on the
                 old Bohr theory to new discoveries. It also shows the
                 necessity to enlarge the theoretical foundations given
                 by Schr{\"o}dinger and Heisenberg. The present work
                 illustrates the challenges of the many-body problem in
                 the new quantum mechanics by evaluating the
                 contributions of both Hartree, who developed a
                 self-consistent process to calculate the energy of an
                 atom, and Fock, who set out the correct theoretical
                 foundations of the method.",
  acknowledgement = ack-nhfb,
  fjournal =     "Annalen der Physik (1900)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Meyer-Spasche:2016:PPO,
  author =       "Rita Meyer-Spasche and Rolf Tomas Nossum",
  title =        "Persecution and Patronage: {Oscar Buneman}'s years in
                 {Britain}",
  journal =      j-ALMAGEST,
  volume =       "7",
  number =       "2",
  pages =        "4--21",
  year =         "2016",
  DOI =          "https://doi.org/10.1484/J.ALMAGEST.5.112684",
  ISSN =         "1792-2593",
  ISSN-L =       "1792-2593",
  bibdate =      "Wed Sep 06 08:01:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/almagest.bib",
  URL =          "https://pure.mpg.de/rest/items/item_2403602/component/file_2403630/content;
                 https://www.brepolsonline.net/doi/10.1484/J.ALMAGEST.5.112684",
  abstract =     "The German student Oscar B{\"u}nemann, in trouble with
                 the Nazi authorities in the mid-1930s, chose to
                 emigrate to Britain and pursue a PhD there. After
                 emigration, his surname appears as Buneman. On the
                 verge of completing his degree in 1940, he was detained
                 as an enemy alien and spent almost a year in
                 internment. Upon release, he found work as an atomic
                 scientist in England, and went on to lead a post-war
                 career as a pioneering plasma physicist in the
                 USA.\par

                 We study forced migration of European scientists before
                 and during the Second World War, and scientific
                 patronage in the host countries. Buneman's case is
                 interesting from several points of view. Being a
                 non-Jewish, non-communist, anti-Nazi activist, he
                 belongs to a group not much investigated by historians.
                 His emigration from Germany was facilitated by his
                 family's business contacts in Britain. Being caught up
                 in the wave of detainments of enemy aliens in 1940, he
                 was assisted in pleading for release by the Society for
                 the Protection of Science and Learning, the archives of
                 which abound with information about refugee scientists
                 from Nazi Germany. We have also had access to material
                 not available to previous investigators, kindly
                 provided by Buneman's family.",
  acknowledgement = ack-nhfb,
  ajournal =     "Almagest",
  fjournal =     "Almagest: International Journal for the History of
                 Scientific Ideas",
  journal-URL =  "https://www.brepolsonline.net/loi/almagest",
  remark-1 =     "The URL points to a slightly revised version of the
                 journal article.",
  remark-2 =     "From page 8: ``B{\"u}nemann's main contact persons
                 during the first years at Manchester University were
                 Professor Mordell, Professor Blackett (Nobel Prize in
                 Physics 1948) and Professor Hartree. He got his MSc
                 degree in 1938 with a thesis on stability theory for
                 ordinary dynamical systems (Bunemann 1938a). This
                 research resulted in two publications (Bunemann 1938b,
                 1938c).''",
  remark-3 =     "From page 8: ``Professor Hartree later wrote: `My
                 knowledge of him dates from Oct. 1935, when he entered
                 the University [\ldots{} ] I have known him not only in
                 his work as an undergraduate and post-graduate student,
                 but also in more informal ways, particularly in
                 connection with musical activities both in the
                 University and at home.'\,''",
  remark-4 =     "From page 16: ``Mathematically speaking, they computed
                 the paths of many charged particles (an electron beam)
                 in a given electro-magnetic field of a cavity
                 magnetron, taking into account that the moving charged
                 particles generate fields themselves. The resulting
                 field is called a self-consistent field. One of the
                 equations to be solved again and again was the Poisson
                 equation. By observing the particles timestep by
                 timestep, he discovered the `threshold' criterion for
                 magnetron operation, later on an important design tool.
                 \ldots{} In a cyclotron, charged particles move in
                 circles, the radii of which depend on isotopical mass;
                 different isotopes describe different paths. The work
                 at Berkeley entailed computing paths of charged
                 particles (ions) in their self-consistent fields.''",
  remark-5 =     "From page 18: ``In the 1960s he and his PhD student
                 Roger Willis Hockney were strongly involved in the
                 development of numerical methods closely related to the
                 Fast Fourier Transform, together with Gene Golub
                 (Hockney 1966a). Buneman became well-known among
                 numerical analysts for his Fast Poisson Solver, the
                 `Buneman algorithm' (Buneman 1969, Buzbee et al. 1970,
                 4, Henrici 1986, Stoer et al. 1983).",
  remark-6 =     "From page 19: ``His name is tied to the `Buneman
                 Instability', a property first introduced in his most
                 frequently cited paper (Buneman 1959), and the `Buneman
                 Algorithm' (Buneman 1969) which is still cited in
                 numerical analysis papers and used in plasma codes
                 (`Buneman trees' and the `Buneman-Levy algorithm' are
                 named in honor of his son Oscar Peter.) The dedication
                 of the first text book on computer simulation using
                 particles (Hockney et al. 1981) reads: `To Oscar,
                 Founder of the subject'.''",
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
}

@Book{Roos:2016:MQC,
  author =       "Bj{\"o}rn O. Roos and Roland Lindh and Per {\AA}ke
                 Malmqvist and Valera Veryazov and Per-Olof Widmark",
  title =        "Multiconfigurational Quantum Chemistry",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xiv + 224",
  year =         "2016",
  DOI =          "https://doi.org/10.1002/9781119126171",
  ISBN =         "0-470-63346-8 (hardcover), 1-119-27787-6 (ePub
                 e-book), 1-119-27787-6 (PDF e-book), 1-119-27788-4
                 (e-book) (e-book)",
  ISBN-13 =      "978-0-470-63346-5(hardcover), 978-1-119-27787-3 (ePub
                 e-book), 978-1-119-27787-3 (PDF e-book),
                 978-1-119-27788-0 (e-book)",
  LCCN =         "QD462 .R66 2016",
  bibdate =      "Tue Aug 8 09:30:40 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "The first book to aid in the understanding of
                 multiconfigurational quantum chemistry,
                 Multiconfigurational Quantum Chemistry demystifies a
                 subject that has historically been considered difficult
                 to learn. Accessible to any reader with a background in
                 quantum mechanics and quantum chemistry, the book
                 contains illustrative examples showing how these
                 methods can be used in various areas of chemistry, such
                 as chemical reactions in ground and excited states,
                 transition metal and other heavy element systems. The
                 authors detail the drawbacks and limitations of DFT and
                 coupled-cluster based methods and offer alternative,
                 wavefunction-based methods more suitable for smaller
                 molecules.",
  acknowledgement = ack-nhfb,
  author-dates = "Bj{\"o}rn Olof Roos (28 June 1937--22 February 2010)",
  remark =       "From the Dedication on p. xiii: ``The work on this
                 book was started in 2009 by Professor Bj{\"o}rn O.
                 Roos. He was in charge of the planning and wrote
                 significant parts before passing away on February 22,
                 2010.''",
  subject =      "Quantum chemistry; Textbooks",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
  tableofcontents = "Front matter / i--xiv \\
                 Introduction / 1--5 Mathematical background / 7--22 \\
                 Molecular orbital theory / 23--41 \\
                 Hartree-Fock theory / 43--58 \\
                 Relativistic effects / 59--67 \\
                 Basis sets / 69--84 \\
                 Second quantization and multiconfigurational wave
                 functions / 85--91 \\
                 Electron correlation / 93--102 \\
                 Multiconfigurational SCF theory / 103--130 \\
                 The RAS State-Interaction method / 131--136 \\
                 The multireference CI method / 137--141 \\
                 Multi-configurational reference perturbation theory /
                 143--156 \\
                 CASPT2/CASSCF applications / 157--219 \\
                 Index / 221--223",
}

@Article{Luthi:2017:TJE,
  author =       "Hans P. L{\"u}thi and Trygve Helgaker",
  title =        "A tribute to {Jan Erik Alml{\"o}f}",
  journal =      j-MOL-PHYS,
  volume =       "115",
  number =       "17--18",
  pages =        "2033--2042",
  month =        jun,
  year =         "2017",
  CODEN =        "MOPHAM",
  DOI =          "https://doi.org/10.1080/00268976.2017.1293305",
  ISSN =         "0026-8976 (print), 1362-3028 (electronic)",
  ISSN-L =       "0026-8976",
  bibdate =      "Sat Aug 12 10:17:18 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Molecular Physics",
  journal-URL =  "http://www.tandfonline.com/loi/tmph20",
  remark =       "This paper is a summary of Alml{\"o}f's research life,
                 including his pushing Hartree--Fock calculations on
                 large molecules to the limits of the accuracy of that
                 method.",
  subject-dates = "Jan Erik Alml{\"o}f (1 April 1945--16 January 1996)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Martinez:2017:BCD,
  author =       "Jean-Philippe Martinez",
  title =        "Beyond computational difficulties: Survey of the two
                 decades from the elaboration to the extensive
                 application of the {Hartree--Fock} method",
  journal =      j-STUD-HIST-PHILOS-MOD-PHYS,
  volume =       "60",
  number =       "??",
  pages =        "123--135",
  month =        nov,
  year =         "2017",
  CODEN =        "????",
  ISSN =         "1355-2198 (print), 1879-2502 (electronic)",
  ISSN-L =       "1355-2198",
  bibdate =      "Fri Nov 24 09:07:07 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/shps-b.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S1355219816301113",
  acknowledgement = ack-nhfb,
  ajournal =     "Stud. Hist. Philos. Mod. Phys.",
  fjournal =     "Studies in History and Philosophy of Modern Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/13552198/",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@PhdThesis{Martinez:2018:VFI,
  author =       "Jean-Philippe Martinez",
  title =        "{Vladimir Fock} (1898--1974) : itin{\'e}raire
                 externaliste d une pens{\'e}e internaliste.
                 {Antir{\'e}ductionnisme} et r{\'e}alisme scientifique
                 en physique moderne. ({French}) [{Vladimir Fock}
                 (1898--1974): externalist itinerary of an internalist
                 thought. {Antireductionism} and scientific realism in
                 modern physics]",
  type =         "Th{\`e}se de doctorat en {Histoire et Philosophie des
                 Sciences}",
  school =       "Universit{\'e} Sorbonne Paris Cit{\'e}",
  address =      "Paris, France",
  pages =        "581",
  day =          "13",
  month =        dec,
  year =         "2018",
  bibdate =      "Sat Aug 12 08:07:24 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://theses.hal.science/tel-01953871",
  abstract =     "Vladimir Aleksandrovich Fock est un physicien
                 largement reconnu par la communaut{\'e} scientifique
                 pour ses contributions de premier plan aux th{\'e}ories
                 de la m{\'e}canique quantique et de la relativit{\'e}
                 g{\'e}n{\'e}rale. Il est aussi un acteur majeur du
                 d{\'e}bat sur l'interpr{\'e}tation de ces deux
                 th{\'e}ories du XXe si{\`e}cle, selon une approche qui
                 se revendique clairement du mat{\'e}rialisme
                 dialectique, une id{\'e}ologie alors largement
                 impos{\'e}e par les autorit{\'e}s sovi{\'e}tiques en
                 URSS. Notre {\'e}tude porte principalement sur cet
                 aspect de sa carri{\`e}re, explor{\'e} jusqu'alors de
                 fa{\c{c}}on trop partielle en histoire des sciences.
                 Plus sp{\'e}cifiquement, nous nous penchons sur les
                 racines scientifiques et philosophiques des
                 interpr{\'e}tations non-orthodoxes des th{\'e}ories de
                 la m{\'e}canique quantique et de la relativit{\'e}
                 g{\'e}n{\'e}rale que d{\'e}veloppe Fock. En
                 reconstruisant son approche {\'e}pist{\'e}mologique
                 nous mettons en {\'e}vidence que le physicien est
                 guid{\'e} par une vision antir{\'e}ductionniste et
                 r{\'e}aliste scientifique de sa discipline. Cette base
                 nous donne alors l'assise pour discuter des raisons
                 pour lesquelles le mat{\'e}rialisme dialectique est une
                 v{\'e}ritable influence pour la pens{\'e}e du physicien
                 sovi{\'e}tique. Par la suite, partant du constat de la
                 sinc{\`e}re adoption par Fock de cette id{\'e}ologie,
                 nous repla{\c{c}}ons la question de
                 l'interpr{\'e}tation des th{\'e}ories de la physique
                 moderne dans son contexte socio-culturel. Il est y
                 notamment question d'observer le parcours du physicien
                 en tant que d{\'e}fenseur des th{\'e}ories de la
                 m{\'e}canique quantique et de la relativit{\'e} face
                 aux diff{\'e}rentes attaques politiques et
                 id{\'e}ologiques qu'elles peuvent subir en Union
                 sovi{\'e}tique, mais aussi d'{\'e}tudier l'influence du
                 contexte sur la formulation {\`a} proprement parler de
                 leurs interpr{\'e}tations et dans un dernier temps de
                 d{\'e}velopper les questions relatives {\`a} la
                 diffusion des id{\'e}es de Fock dans la communaut{\'e}
                 locale et internationale des physiciens. En somme,
                 cette th{\`e}se permet de reconsid{\'e}rer
                 l'int{\'e}r{\^e}t que pr{\'e}sente la pens{\'e}e de
                 Vladimir Aleksandrovich Fock dans l'histoire des
                 th{\'e}ories de la physique moderne",
  abstract-en =  "Vladimir Aleksandrovich Fock is a physicist well-known
                 by the scientific community for his important
                 contributions to the theories of quantum mechanics and
                 general relativity. He is also a major actor in the
                 debate on the interpretation of these two major
                 theories of the XXth century, following an approach
                 that clearly claims dialectical materialism --- an
                 ideology then largely imposed by the Soviet authorities
                 in the USSR --- as fundamental. Our work mostly focuses
                 on this aspect of Fock's career, explored too partially
                 in the history of science. More specifically, we
                 reconsider the scientific and philosophical roots of
                 the non-orthodox interpretations of quantum mechanics
                 and general relativity developed by Fock. By
                 reconstructing his epistemological approach we put
                 forward that the physicist was guided by an
                 antireductionist and a scientific realist conception of
                 his discipline. This basis gives us the possibility to
                 discuss the reasons why dialectical materialism was a
                 real influence on the scientist thought. Thus, by
                 following the observation of the sincere adoption by
                 Fock of the Soviet ideology, we put back the question
                 of the interpretation of the theories of modern physics
                 in its socio-cultural context. We observe Fock's
                 trajectory as a defender of quantum mechanics and
                 relativity theory against the different ideological and
                 political attacks they may undergo in Soviet Union. We
                 also study the influence of context on the actual
                 wording of their interpretations and finally we develop
                 the issues related to their diffusion in the local and
                 worldwide community of physicists. To summarize, this
                 thesis helps to reconsider the interest of Fock's
                 thought in the history of modern physics",
  acknowledgement = ack-nhfb,
  author-date =  "Vladimir Aleksandrovich Fock (22 December 1898--27
                 December 1974)",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Shao:2018:ANC,
  author =       "Meiyue Shao and H. Metin Aktulga and Chao Yang and
                 Esmond G. Ng and Pieter Maris and James P. Vary",
  title =        "Accelerating nuclear configuration interaction
                 calculations through a preconditioned block iterative
                 eigensolver",
  journal =      j-COMP-PHYS-COMM,
  volume =       "222",
  number =       "??",
  pages =        "1--13",
  month =        jan,
  year =         "2018",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Dec 2 17:13:54 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465517302904",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Hibbert:2019:CFF,
  author =       "Alan Hibbert",
  title =        "{Charlotte Froese Fischer} --- Her Work and Her
                 Impact",
  journal =      j-ATOMS,
  volume =       "7",
  number =       "4",
  pages =        "107--124",
  month =        dec,
  year =         "2019",
  CODEN =        "ATOMC5",
  DOI =          "https://doi.org/10.3390/atoms7040107",
  ISSN =         "2218-2004",
  ISSN-L =       "2218-2004",
  bibdate =      "Mon Aug 7 07:18:53 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "Charlotte Froese Fischer has been at the forefront of
                 research in atomic structure theory for over 60 years.
                 She has developed many of the methods currently used by
                 researchers and has written associated computer
                 programs which have been published and hence made
                 accessible to the research community. Throughout her
                 career, she has consistently encouraged and mentored
                 young scientists, enabling them to embark on
                 independent careers of their own. This article provides
                 an overview of the methods and codes she has developed,
                 some large-scale calculations she has undertaken, and
                 some insight into the impact she has had on young
                 scientists, and the leadership she continues to show as
                 she reaches her 90th birthday",
  acknowledgement = ack-nhfb,
  fjournal =     "Atoms",
  journal-URL =  "https://www.mdpi.com/journal/atoms",
  keywords =     "B-splines; E1 transitions; forbidden transitions;
                 GRASP; hyperfine structure; isotope shifts; MCDHF;
                 MCHF; multiconfigurational methods; non-orthogonal
                 orbitals",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Lehtola:2020:OSC,
  author =       "Susi Lehtola and Frank Blockhuys and Christian {Van
                 Alsenoy}",
  title =        "An Overview of Self-Consistent Field Calculations
                 Within Finite Basis Sets",
  journal =      j-MOLECULES,
  volume =       "25",
  number =       "5",
  pages =        "1218:1--1218:23",
  month =        mar,
  year =         "2020",
  CODEN =        "MOLEFW",
  DOI =          "https://doi.org/10.3390/molecules25051218",
  ISSN =         "1420-3049",
  ISSN-L =       "1420-3049",
  bibdate =      "Wed Sep 6 17:27:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7179435/",
  acknowledgement = ack-nhfb,
  fjournal =     "Molecules",
  journal-URL =  "https://www.mdpi.com/journal/molecules",
  keywords =     "density functional theory; Hartree-Fock;
                 self-consistent field theory",
}

@Article{Waide:2020:BPS,
  author =       "D. T. Waide and D. G. Green and G. F. Gribakin",
  title =        "\pkg{BSHF}: a program to solve the {Hartree--Fock}
                 equations for arbitrary central potentials using a
                 {B}-spline basis",
  journal =      j-COMP-PHYS-COMM,
  volume =       "250",
  number =       "??",
  pages =        "Article 107112",
  month =        may,
  year =         "2020",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/j.cpc.2019.107112",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri May 29 07:03:02 MDT 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2020.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465519304187",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Hernandez:2021:GAC,
  author =       "Taylor M. Hernandez and Roel {Van Beeumen} and Mark A.
                 Caprio and Chao Yang",
  title =        "A greedy algorithm for computing eigenvalues of a
                 symmetric matrix with localized eigenvectors",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "28",
  number =       "2",
  pages =        "e2341:1--e2341:??",
  month =        mar,
  year =         "2021",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.2341",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri May 7 09:54:04 MDT 2021",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Linear Algebra Appl.",
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "https://onlinelibrary.wiley.com/journal/10991506",
  onlinedate =   "09 October 2020",
}

@Article{Maidment:2021:EML,
  author =       "Alison Maidment",
  title =        "The {Edinburgh Mathematical Laboratory} and {Edmund
                 Taylor Whittaker}'s role in the early development of
                 numerical analysis in {Britain}",
  journal =      j-HIST-MATH,
  volume =       "55",
  number =       "??",
  pages =        "39--63",
  month =        may,
  year =         "2021",
  CODEN =        "HIMADS",
  DOI =          "https://doi.org/10.1016/j.hm.2020.09.002",
  ISSN =         "0315-0860 (print), 1090-249X (electronic)",
  ISSN-L =       "0315-0860",
  bibdate =      "Tue Mar 1 07:33:18 MST 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/histmath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0315086020300719",
  acknowledgement = ack-nhfb,
  fjournal =     "Historia Mathematica",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03150860",
  remark =       "Brief mention of Douglas Rayner Hartree as a
                 pioneering numerical analyst and author of the earliest
                 of the six best-known books on numerical analysis
                 published in the 1950s.",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958)",
}

@Article{Miri:2021:FVB,
  author =       "Johnny Miri",
  title =        "The Fall of {Vannevar Bush}: The Forgotten War for
                 Control of Science Policy in Postwar {America}",
  journal =      j-HIST-STUD-NAT-SCI,
  volume =       "51",
  number =       "4",
  pages =        "507--??",
  month =        sep,
  year =         "2021",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1525/hsns.2021.51.4.507",
  ISSN =         "1939-1811 (print), 1939-182X (electronic)",
  ISSN-L =       "1939-182X",
  bibdate =      "Mon Apr 18 07:48:19 MDT 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/hsns.bib",
  URL =          "https://online.ucpress.edu/hsns/article/51/4/507/118593/The-Fall-of-Vannevar-BushThe-Forgotten-War-for",
  acknowledgement = ack-nhfb,
  fjournal =     "Historical Studies in the Natural Sciences",
  journal-URL =  "http://hsns.ucpress.edu/content/by/year",
}

@Book{Anonymous:2022:PMI,
  author =       "Anonymous",
  title =        "Publications of {The Massachusetts Institute of
                 Technology}: {October, 1924} (classic reprint)",
  publisher =    "Forgotten Books",
  address =      "????",
  year =         "2022",
  ISBN =         "0-364-17189-8",
  ISBN-13 =      "978-0-364-17189-9",
  LCCN =         "????",
  bibdate =      "Mon Aug 14 08:54:41 MDT 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  remark =       "This print-on-demand book may contain
                 \cite{Lindsay:1924:U}, but no electronic copy could be
                 accessed to verify that. It can be purchased from
                 Abebooks and other online resellers.",
}

@Article{Benedek:2022:SCC,
  author =       "Zsolt Benedek and Paula Tim{\'a}r and Tibor
                 Szilv{\'a}si and Gergely Barcza",
  title =        "Sensitivity of coupled cluster electronic properties
                 on the reference determinant: Can {Kohn--Sham} orbitals
                 be more beneficial than {Hartree--Fock} orbitals?",
  journal =      j-J-COMPUT-CHEM,
  volume =       "43",
  number =       "32",
  pages =        "2103--2120",
  day =          "15",
  month =        dec,
  year =         "2022",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/jcc.26996",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Fri Aug 25 09:22:16 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem2020.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Comput. Chem.",
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0192-8651",
  onlinedate =   "05 October 2022",
}

%%% ====================================================================
%%%   Part 3 (of 3): Publications on the large scale eigenproblem
%%%
%%% This problem occurs in the configuration interaction (CI) method
%%% introduced by Douglas Hartree in 1937 (entry Hartree:1937:ECI),
%%% where the matrices are sparse, and usually randomly so, but also
%%% often diagonally dominant (i.e., the (i,i) diagonal element is
%%% larger in magnitude than other elements in row or column i).
%%%
%%% When symmetry requirements produce blocking of the matrices,
%%% algorithmic tuning can produce substantial speedups.
%%%
%%% In configuration interaction calculations, often only a few of the
%%% lowest eigenvalues, and usually, corresponding eigenvectors, are
%%% required.  The Krylov, Lanczos, and Arnoldi algorithms appear to be
%%% first methods for this problem, and several later refinements are
%%% named after Davidson and Jacobi--Davidson.
%%%
%%% Feler's method can be used to find eigenvalues near an arbitrarily
%%% chosen value, instead of just extremal eigenvalues.
%%%
%%% The need for eigensolutions of large matrices occurs in many other
%%% areas of engineering and science than quantum-mechanical CI
%%% calculations, so these methods are of broad interest.
%%%
%%% A distinguishing feature of these algorithms is that they do NOT
%%% require the full matrix $A$ in the eigenproblem $A x = \lambda x$ to
%%% be held in the computer's central memory.  Instead, they only need
%%% the ability to carry out a dot product of a row of the matrix with a
%%% given column vector.  That permits, for example, the matrix to be
%%% fetched by rows from external storage.  In some applications, I/O
%%% activity can be minimized by reconstruction in memory of the matrix
%%% row on each iteration.
%%%
%%% Entry Olsen:1990:POB reports what is believed to be the world's
%%% largest CI expansion up to that time: $10^9$ terms.  The computation
%%% time in 1989 on an IBM 3090/VF mainframe with 64MB of central memory
%%% at the Utah Supercomputing Institude [in the next building to that
%%% of the office of the bibliographer] is reported to be about 1 CPU
%%% day per iteration, but each such iteration took one wall-clock week
%%% because of I/O between central memory and external storage.
%%% Importantly, the authors did the calculations for several different
%%% CI expansion lengths to confirm the convergence predicted by the
%%% Rayleigh--Ritz variational principle.
%%%
%%% The recent entry Zbikowski:2023:BBL describes computations using CI
%%% expansions with $2 \times 10^{10}$ terms.
@Article{Krylov:1931:NSE,
  author =       "A. N. Krylov",
  title =        "On the numerical solution of the equation by which, in
                 technical matters, frequencies of small oscillations of
                 material systems are determined",
  journal =      "Izvestija Akademia Nauk SSSR. Otdel. mat. i estest.
                 nauk",
  volume =       "7",
  number =       "4",
  pages =        "491--539",
  month =        "????",
  year =         "1931",
  bibdate =      "Sat Jun 11 12:23:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://alexei-krylov.co.tv/;
                 http://ta.twi.tudelft.nl/users/viuk/burgers/krylov.html;
                 http://www.encyclopedia.com/doc/1G2-2830902397.html",
  acknowledgement = ack-nhfb,
  keywords =     "iteration solution of large eigenvalue problems",
  language =     "Russian",
  remark =       "This is the paper in which the Krylov subspace method
                 for eigensolutions is introduced.",
  xxtitle =      "On the numerical solution of equations whose solution
                 determine the frequency of small vibrations of material
                 systems",
}

@Article{Luzin:1931:MMK,
  author =       "N. Luzin",
  title =        "Sur la m{\'e}thode de {Mr. A. Krylov} de composition
                 de l'{\'e}quation s{\'e}culaire. ({French}) [{On} the
                 method of {Mr. A. Krylov} for the composition of the
                 secular equation]",
  journal =      "Bull. Acad. Sci. URSS",
  volume =       "1931",
  number =       "7",
  pages =        "903--958",
  year =         "1931",
  bibdate =      "Fri Nov 10 16:19:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0004.04902",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin de l'Acad{\'e}mie des Sciences de l'URSS.
                 VII. S{\'e}rie",
  language =     "Russian",
  ZBmath =       "3004266",
}

@Article{Cooper:1948:SNF,
  author =       "J. L. B. Cooper",
  title =        "The Solution of Natural Frequency Equations by
                 Relaxation Methods",
  journal =      j-QUART-APPL-MATH,
  volume =       "6",
  number =       "??",
  pages =        "179--183",
  month =        "????",
  year =         "1948",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569x (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  bibdate =      "Sat Jun 11 12:48:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/publications/journals/journalsframework/qam",
  acknowledgement = ack-nhfb,
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "Back issues of this journal, but only to 2005, are
                 available at links from the URL.",
}

@Article{Lanczos:1950:IMS,
  author =       "Cornelius Lanczos",
  title =        "An iteration method for the solution of the eigenvalue
                 problem of linear differential and integral operators",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "45",
  number =       "4",
  pages =        "255--282",
  month =        oct,
  year =         "1950",
  DOI =          "https://doi.org/10.6028/jres.045.026",
  ISSN =         "0160-1741 (print), 2376-5259 (electronic)",
  ISSN-L =       "0160-1741",
  MRclass =      "65.0X",
  MRnumber =     "0042791 (13,163d)",
  MRreviewer =   "P. Funk",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0067.33703",
  abstract =     "The present investigation designs a systematic method
                 for finding the latent roots and the principal axes of
                 a matrix, without reducing the order of the matrix. It
                 is characterized by a wide field of applicability and
                 great accuracy, since the accumulation of rounding
                 errors is avoided, through the process of ``minimized
                 iterations''. Moreover, the method leads to a well
                 convergent successive approximation procedure by which
                 the solution of integral equations of the Fredholm type
                 and the solution of the eigenvalue problem of linear
                 differential and integral operators may be
                 accomplished.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Research Nat. Bur. Standards",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
  remark =       "This paper contains the Lanczos algorithm for
                 iterative computation of eigenvalues and eigenvectors,
                 sometimes called the {\em power method}; this algorithm
                 appears to be the most-widely cited of Lanczos's
                 works.",
}

@Article{Arnoldi:1951:PMI,
  author =       "W. E. Arnoldi",
  title =        "The principle of minimized iteration in the solution
                 of the matrix eigenvalue problem",
  journal =      j-QUART-APPL-MATH,
  volume =       "9",
  number =       "??",
  pages =        "17--29",
  month =        "????",
  year =         "1951",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569x (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  bibdate =      "Sat Jun 11 12:21:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/publications/journals/journalsframework/qam",
  acknowledgement = ack-nhfb,
  ajournal =     "Quart. Appl. Math.",
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "This is the paper in which the Arnoldi method for
                 eigensolutions is introduced.",
  remark-2 =     "Back issues of this journal, but only to 2005, are
                 available at links from the URL.",
}

@Article{Nesbet:1965:ADL,
  author =       "R. K. Nesbet",
  title =        "Algorithm for Diagonalization of Large Matrices",
  journal =      j-J-CHEM-PHYS,
  volume =       "43",
  number =       "1",
  pages =        "311--312",
  month =        "????",
  year =         "1965",
  CODEN =        "JCPSA6",
  DOI =          "https://doi.org/10.1063/1.1696477",
  ISSN =         "0021-9606 (print), 1089-7690 (electronic)",
  ISSN-L =       "0021-9606",
  bibdate =      "Fri Jun 10 21:51:24 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  note =         "See modification \cite{Shavitt:1970:MNA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jcp/browse",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Shavitt:1970:MNA,
  author =       "Isaiah Shavitt",
  title =        "Modification of {Nesbet}'s algorithm for the iterative
                 evaluation of eigenvalues and eigenvectors of large
                 matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "6",
  number =       "1",
  pages =        "124--130",
  month =        aug,
  year =         "1970",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(70)90010-0",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:01 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  note =         "See \cite{Nesbet:1965:ADL}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999170900100",
  acknowledgement = ack-nhfb,
  author-dates = "Isaiah Shavitt (29 July 1929--8 December 2012)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Shavitt:1973:ICS,
  author =       "I. Shavitt and C. F. Bender and A. Pipano and R. P.
                 Hosteny",
  title =        "The iterative calculation of several of the lowest or
                 highest eigenvalues and corresponding eigenvectors of
                 very large symmetric matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "11",
  number =       "1",
  pages =        "90--108",
  month =        jan,
  year =         "1973",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(73)90149-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:08 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999173901496",
  acknowledgement = ack-nhfb,
  author-dates = "Isaiah Shavitt (29 July 1929--8 December 2012)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "iteration solution of large eigenvalue problems",
}

@TechReport{Cullum:1974:BGS,
  author =       "Jane Cullum and W. E. Donath",
  title =        "A Block Generalization of the Symmetric {$S$}-Step
                 {Lanczos} Algorithm",
  type =         "Report",
  number =       "RC 4845",
  institution =  "IBM T. J. Watson Research Center",
  address =      "Yorktown Heights, NY, USA",
  month =        may,
  year =         "1974",
  bibdate =      "Fri Nov 10 06:51:19 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1974:BLA,
  author =       "Jane Cullum and W. E. Donath",
  editor =       "{IEEE}",
  booktitle =    "Proceedings of 1974 {IEEE} Conference on Decision and
                 Control",
  title =        "A Block {Lanczos} Algorithm for Computing the $q$
                 Algebraically Largest Eigenvalues and a Corresponding
                 Eigenspace for Large, Sparse Symmetric Matrices",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "505--509",
  year =         "1974",
  bibdate =      "Fri Nov 10 06:54:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Davidson:1975:NIC,
  author =       "Ernest R. Davidson",
  title =        "Note: The iterative calculation of a few of the lowest
                 eigenvalues and corresponding eigenvectors of large
                 real-symmetric matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "17",
  number =       "1",
  pages =        "87--94",
  month =        jan,
  year =         "1975",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(75)90065-0",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:16 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  note =         "This paper generalizes the work of Lanczos
                 \cite{Lanczos:1950:IMS} by a modification that improves
                 the convergence. See also later generalizations
                 \cite{Morgan:1986:GDM,Rettrup:1982:IMC,Sadkane:1989:ANM}.",
  URL =          "http://comptop.stanford.edu/u/references/da.pdf;
                 http://www.sciencedirect.com/science/article/pii/0021999175900650",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "This paper refers to
                 \cite{Cooper:1948:SNF,Lanczos:1950:IMS,Nesbet:1965:ADL,Shavitt:1970:MNA,Shavitt:1973:ICS}
                 for prior work on eigensolutions, but has no mention of
                 the work of Arnoldi \cite{Arnoldi:1951:PMI} or Krylov
                 \cite{Krylov:1931:NSE}.",
}

@InProceedings{Beebe:1978:BGE,
  author =       "Nelson H. F. Beebe",
  booktitle =    "Proceedings of the {NRCC Workshop on Numerical
                 Algorithms in Chemistry: Algebraic Methods}",
  title =        "Bibliography on the Generalized Eigenvalue Problem, {$
                 A x = \lambda B x $}",
  publisher =    "National Resource for Computation in Chemistry",
  address =      "Lawrence Berkeley Laboratory, Berkeley, CA, USA",
  pages =        "71--72",
  day =          "9--11",
  month =        aug,
  year =         "1978",
  bibdate =      "Sun Sep 8 09:28:00 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}

@InProceedings{Beebe:1978:FMF,
  author =       "Nelson H. F. Beebe",
  title =        "{Feler}'s Method for Finding Eigenvalues and
                 Eigenvectors",
  crossref =     "Moler:1978:NAC",
  pages =        "66--67",
  year =         "1978",
  bibdate =      "Sun Dec 08 11:55:56 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}

@InProceedings{Beebe:1978:GEP,
  author =       "Nelson H. F. Beebe",
  title =        "The Generalized Eigenvalue Problem in Quantum
                 Chemistry",
  crossref =     "Moler:1978:NAC",
  pages =        "63--65",
  year =         "1978",
  bibdate =      "Sun Dec 08 11:55:56 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}

@InProceedings{Davidson:1978:EME,
  author =       "E. R. Davidson",
  title =        "Expansion Methods for Eigenvectors of Large Matrices",
  crossref =     "Moler:1978:NAC",
  pages =        "15--25",
  year =         "1978",
  bibdate =      "Sun Dec 08 11:55:56 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Liu:1978:SEM,
  author =       "Bowen Liu",
  title =        "The simultaneous expansion method for the iterative
                 solution of several of the lowest-lying eigenvalues and
                 corresponding eigenvectors of large real-symmetric
                 matrices",
  crossref =     "Moler:1978:NAC",
  pages =        "49--53",
  year =         "1978",
  bibdate =      "Tue Aug 15 13:16:47 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Shavitt:1978:MEP,
  author =       "Isaiah Shavitt",
  title =        "Matrix Eigenvalue Problem",
  crossref =     "Moler:1978:NAC",
  pages =        "7--10",
  year =         "1978",
  bibdate =      "Sun Dec 08 11:55:56 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Isaiah Shavitt (29 July 1929--8 December 2012)",
}

@Article{Cullum:1980:LPI,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "The {Lanczos} phenomenon---an interpretation based
                 upon conjugate gradient optimization",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "29",
  number =       "??",
  pages =        "63--90",
  month =        feb,
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90231-1",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (65F25)",
  MRnumber =     "81d:65017",
  MRreviewer =   "Norihiko Adachi",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The equivalence in exact arithmetic of the Lanczos
                 tridiagonalization procedure and the conjugate gradient
                 optimization procedure for solving $ A x = b $, where
                 $A$ is a real symmetric, positive definite matrix, is
                 well known. We demonstrate that a relaxed equivalence
                 is valid in the presence of errors. Specifically we
                 demonstrate that local var epsilon-orthonormality of
                 the Lanczos vectors guarantees local $ \varepsilon
                 $-$A$-conjugacy of the direction vectors in the
                 associated conjugate gradient procedure. Moreover we
                 demonstrate that all the conjugate gradient
                 relationships are satisfied approximately. Therefore,
                 any statements valid for the conjugate gradient
                 optimization procedure, which we show converges under
                 very weak conditions, apply directly to the Lanczos
                 procedure. We then use this equivalence to obtain an
                 explanation of the Lanczos phenomenon: the empirically
                 observed ``convergence'' of Lanczos eigenvalue
                 procedures despite total loss of the global
                 orthogonality of the Lanczos vectors.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, eig, Lanczos algorithm, conjugate gradients",
}

@Article{Davidson:1980:CKT,
  author =       "E. R. Davidson",
  title =        "Comments on the {Kalamboukis} tests of the {Davidson}
                 algorithm",
  journal =      j-J-PHYS-A,
  volume =       "13",
  number =       "6",
  pages =        "L179--L180",
  month =        jun,
  year =         "1980",
  CODEN =        "JPHAC5",
  DOI =          "https://doi.org/10.1088/0305-4470/13/6/002",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  bibdate =      "Tue Aug 15 12:47:17 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See \cite{Kalamboukis:1980:DAP}.",
  URL =          "https://iopscience.iop.org/article/10.1088/0305-4470/13/6/002",
  abstract =     "Conceptual errors in Kalamboukis' recent paper (1980)
                 are pointed out. A correct outline of the Davidson
                 algorithm (1975) is given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics A (Mathematical and General)",
  journal-URL =  "http://iopscience.iop.org/1751-8121",
}

@Article{Kalamboukis:1980:DAP,
  author =       "T. Z. Kalamboukis",
  title =        "{Davidson}'s algorithm with and without perturbation
                 corrections",
  journal =      j-J-PHYS-A,
  volume =       "13",
  number =       "1",
  pages =        "57--62",
  month =        jan,
  year =         "1980",
  CODEN =        "JPHAC5",
  DOI =          "https://doi.org/10.1088/0305-4470/13/1/008",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  bibdate =      "Tue Aug 15 12:42:58 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "See comments and corrections
                 \cite{Davidson:1980:CKT}.",
  URL =          "https://iopscience.iop.org/article/10.1088/0305-4470/13/1/008",
  abstract =     "A comparison is made between Davidson's method for the
                 real, symmetric matrix eigenproblem and a version of
                 the Lanczos method obtained by removing the
                 perturbation theory `corrections' from Davidson's
                 algorithm. It is found that the convergence of
                 Davidson's method is superior to that of Lanczos only
                 if the matrix is quite strongly diagonally dominant.
                 Applications to typical matrices from nuclear structure
                 calculations, which are not very diagonally dominant,
                 show no essential difference between the convergence
                 rates. The Davidson-Lanczos method as used here is
                 capable, unlike the usual versions of the Lanczos
                 method, of direct application to the generalised
                 eigenproblem $ A x = \lambda B x $. The author shows
                 how this can be implemented and gives some examples
                 that illustrate the convergence properties.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics A (Mathematical and General)",
  journal-URL =  "http://iopscience.iop.org/1751-8121",
}

@Article{Cullum:1981:CEV,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "Computing eigenvalues of very large symmetric
                 matrices---An implementation of a {Lanczos} algorithm
                 with no reorthogonalization",
  journal =      j-J-COMPUT-PHYS,
  volume =       "44",
  number =       "2",
  pages =        "329--358",
  month =        dec,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90056-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:09 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900565",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Rettrup:1982:IMC,
  author =       "Sten Rettrup",
  title =        "An iterative method for calculating several of the
                 extreme eigensolutions of large real non-symmetric
                 matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "45",
  number =       "1",
  pages =        "100--107",
  month =        jan,
  year =         "1982",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(82)90104-8",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:10 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  note =         "See \cite{Davidson:1975:NIC}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999182901048",
  abstract =     "A new method is described for calculating several of
                 the extreme eigensolutions of large real non-symmetric
                 matrices. The matrices considered are assumed to have
                 real eigenvectors and eigenvalues. An algorithm is
                 presented for both single and multiple vector
                 optimization. The efficiency of the two versions are
                 compared using some test calculations. The method is a
                 generalization of the Davidson-approach.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Cullum:1983:LAC,
  author =       "Jane Cullum and Ralph A. Willoughby and Mark Lake",
  title =        "A {Lanczos} algorithm for computing singular values
                 and vectors of large matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "4",
  number =       "2",
  pages =        "197--215",
  month =        jun,
  year =         "1983",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F15",
  MRnumber =     "84h:65035",
  MRreviewer =   "Robert Todd Gregory",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "IBM Thomas J. Watson Res. Center, Yorktown Heights,
                 NY, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "eigenvalues and eigenfunctions; eigenvalues and
                 eigenvectors; Lanczos algorithms; large matrices;
                 matrix algebra; real matrix; sparse real matrices;
                 symmetric matrices",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Cullum:1984:LPM,
  author =       "Jane Cullum and Ralph A. Willoughby",
  editor =       "{IEEE}",
  booktitle =    "{The 23rd IEEE Conference on Decision and Control,
                 December 12--14, 1984, Las Vegas, Nevada}",
  title =        "A {Lanczos} procedure for the modal analysis of very
                 large nonsymmetric matrices",
  volume =       "23",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "1758--1761",
  month =        dec,
  year =         "1984",
  DOI =          "https://doi.org/10.1109/CDC.1984.272436",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Sat Jun 11 00:31:57 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "IEEE Catalog Number 79-640961.",
  acknowledgement = ack-nhfb,
}
@Book{Cullum:1985:LALa,
  author =       "Jane K. Cullum and Ralph A. Willoughby",
  title =        "{Lanczos} Algorithms for Large Symmetric Eigenvalue
                 Computations, Volume 1. Theory",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xiv + 273",
  year =         "1985",
  ISBN =         "0-8176-3292-1 (Boston: set), 0-8176-3058-9 (Boston:
                 vol. 1), 0-8176-3294-8 (Boston: vol. 2), 3-7643-3292-6
                 (Basel: set), 3-7643-3058-9 (Basel: vol. 1),
                 3-7643-3294-8 (Basel: vol. 2)",
  ISBN-13 =      "978-0-8176-3292-2 (Boston: set), 978-0-8176-3058-4
                 (Boston: vol. 1), 978-0-8176-3294-6 (Boston: vol. 2),
                 978-3-7643-3292-1 (Basel: set), 978-3-7643-3058-3
                 (Basel: vol. 1), 978-3-7643-3294-5 (Basel: vol. 2)",
  LCCN =         "QA193 .C84 1985",
  bibdate =      "Mon Mar 6 15:34:09 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "Only skimmed. Tiny typeface. Emphasizes `local
                 orthogonality is enough' approach, as opposed to
                 Parlett \cite{Parlett:1980:SEP}'s `global orthogonality
                 is crucial'. They summarize Paige's error analysis but
                 don't (?) give any of their own.",
  remark =       "Volume 1. Theory",
  subject =      "Symmetric matrices; Data processing; Eigenvalues",
}

@Book{Cullum:1985:LALb,
  author =       "J. Cullum and R. A. Willoughby",
  title =        "{Lanczos} Algorithms for Large Symmetric Eigenvalue
                 Computations, Volume 2: Programs",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  year =         "1985",
  bibdate =      "Fri Jun 10 12:38:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cullum:1985:SLP,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "A survey of {Lanczos} procedures for very large real
                 `symmetric' eigenvalue problems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "37--60",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(85)90006-8",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Fri Jun 10 16:10:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Morgan:1986:GDM,
  author =       "Ronald B. Morgan and David S. Scott",
  title =        "Generalizations of {Davidson}'s method for computing
                 eigenvalues of sparse symmetric matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "3",
  pages =        "817--825",
  month =        jul,
  year =         "1986",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0907054",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F15 (65F35 65F50)",
  MRnumber =     "87g:65056",
  bibdate =      "Mon Mar 31 09:59:42 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Math., Texas Univ., Austin, TX, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "eigenpairs; eigenvalues; eigenvalues and
                 eigenfunctions; generalised Davidson's method; matrix
                 algebra; preconditioning techniques; sparse symmetric
                 matrices",
  onlinedate =   "July 1986",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cullum:1989:GNL,
  author =       "J. Cullum and W. Kerner and R. Willoughby",
  title =        "A Generalized Nonsymmetric {Lanczos} Procedure",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "19--48",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90146-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 11:59:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  kwds =         "nla, geig, Lanczos algorithm, nonsymmetric matrix",
}

@Article{Davidson:1989:SMM,
  author =       "Ernest R. Davidson",
  title =        "Super-matrix methods",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "49--60",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90147-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:26 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465589901471",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@PhdThesis{Sadkane:1989:ANM,
  author =       "M. Sadkane",
  title =        "Analyse num{\'e}rique de la m{\'e}thode de
                 {Davidson}",
  type =         "{Ph.D.} thesis",
  school =       "UER math{\'e}matiques et Informatique,
                 l'universit{\'e} de Rennes",
  address =      "Rennes, France",
  year =         "1989",
  bibdate =      "Fri Jun 10 23:37:05 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See \cite{Davidson:1975:NIC}.",
  acknowledgement = ack-nhfb,
}

@Article{Umar:1989:MDA,
  author =       "Verena Meiser Umar and Charlotte {Froese Fischer}",
  title =        "Multitasking the {Davidson} Algorithm for the Large,
                 Sparse Eigenvalue Problem",
  journal =      j-IJSA,
  volume =       "3",
  number =       "4",
  pages =        "28--53",
  month =        dec,
  year =         "1989",
  CODEN =        "IJSAE9",
  DOI =          "https://doi.org/10.1177/109434208900300404",
  ISSN =         "0890-2720",
  ISSN-L =       "0890-2720",
  bibdate =      "Thu Aug 22 17:56:36 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
                 library database",
  URL =          "http://journals.sagepub.com/doi/pdf/10.1177/109434208900300404",
  acknowledgement = ack-nhfb,
  ajournal =     "Int. J. Supercomput. Appl.",
  fjournal =     "The International Journal of Supercomputer
                 Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
  xxmonth =      "Winter",
}

@Article{Morgan:1990:DMP,
  author =       "Ronald B. Morgan",
  title =        "{Davidson}'s method and preconditioning for
                 generalized eigenvalue problems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "89",
  number =       "1",
  pages =        "241--245",
  month =        jul,
  year =         "1990",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(90)90124-J",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:42 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199919090124J",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Olsen:1990:POB,
  author =       "Jeppe Olsen and Poul J{\o}rgensen and Jack Simons",
  title =        "Passing the one-billion limit in full
                 configuration-interaction ({FCI}) calculations",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "169",
  number =       "6",
  pages =        "463--472",
  month =        jun,
  year =         "1990",
  CODEN =        "CHPLBC",
  DOI =          "https://doi.org/10.1016/0009-2614(90)85633-n",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  bibdate =      "Thu Aug 17 08:55:58 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.sciencedirect.com/science/article/abs/pii/000926149085633N",
  acknowledgement = ack-nhfb,
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
  remark =       "From pp. 471--472: ``Prior to this work, the largest
                 FCI benchmark calculations calculating and storing the
                 complete vectors treated 8 electrons distributed among
                 23 orbitals, yielding 28-million determinants. We have
                 been able to handle 10 electrons in 30 orbitals with
                 more than 1016-million determinants, and have thus
                 ushered in a new era in FCI benchmarks where `exact'
                 energies can be obtained for more electrons and more
                 realistic atomic-orbital bases. As a result, a more
                 thorough and detailed understanding of the
                 electron-correlation problem is at hand.''",
}

@Article{Morgan:1992:GDM,
  author =       "Ronald B. Morgan",
  title =        "Generalizations of {Davidson}'s method for computing
                 eigenvalues of large nonsymmetric matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "101",
  number =       "2",
  pages =        "287--291",
  month =        aug,
  year =         "1992",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(92)90006-K",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:54:43 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199919290006K",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Murray:1992:IAL,
  author =       "Christopher W. Murray and Stephen C. Racine and Ernest
                 R. Davidson",
  title =        "Improved algorithms for the lowest few eigenvalues and
                 associated eigenvectors of large matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "103",
  number =       "2",
  pages =        "382--389",
  month =        dec,
  year =         "1992",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(92)90409-R",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:54:46 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199919290409R",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Davidson:1993:MMT,
  author =       "Ernest R. Davidson",
  title =        "Monster Matrices: Their Eigenvalues and Eigenvectors",
  journal =      j-COMPUT-PHYS,
  volume =       "7",
  number =       "5",
  pages =        "519--522",
  month =        sep,
  year =         "1993",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.4823212",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:45:43 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  note =         "See \cite{Lin:1993:EDM}.",
  URL =          "https://aip.scitation.org/doi/10.1063/1.4823212",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
  keywords =     "Davidson--Liu algorithm; Lanczos algorithm;
                 matrix--vector products; sparse matrices",
}

@Article{Lin:1993:EDM,
  author =       "H. Q. Lin and J. E. Gubernatis and Harvey Gould and
                 Jan Tobochnik",
  title =        "Exact Diagonalization Methods for Quantum Systems",
  journal =      j-COMPUT-PHYS,
  volume =       "7",
  number =       "4",
  pages =        "400--??",
  month =        jul,
  year =         "1993",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.4823192",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:45:42 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  note =         "See \cite{Davidson:1993:MMT}.",
  URL =          "https://aip.scitation.org/doi/10.1063/1.4823192",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
  keywords =     "Lanczos algorithm; matrix--vector products; sparse
                 matrices",
}

@Article{Morgan:1993:PLA,
  author =       "Ronald B. Morgan and David S. Scott",
  title =        "Preconditioning the {Lanczos} algorithm for sparse
                 symmetric eigenvalue problems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "14",
  number =       "3",
  pages =        "585--593",
  month =        may,
  year =         "1993",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "93k:65032",
  bibdate =      "Tue Apr 29 18:15:07 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InProceedings{Stathopoulos:1993:RSP,
  author =       "Andreas Stathopoulos and Charlotte {Froese Fischer}",
  title =        "Reducing Synchronization on the Parallel {Davidson}
                 Method for the Large, Sparse, Eigenvalue Problem",
  crossref =     "IEEE:1993:PSP",
  pages =        "172--180",
  year =         "1993",
  bibdate =      "Wed Apr 15 12:04:03 MDT 1998",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Vanderbilt Univ",
  affiliationaddress = "Nashville, TN, USA",
  classification = "723; 921; C4140 (Linear algebra); C4240P (Parallel
                 programming and algorithm theory); C7320 (Physics and
                 chemistry computing)",
  corpsource =   "Dept. of Comput. Sci., Vanderbilt Univ., Nashville,
                 TN, USA",
  keywords =     "atomic physics; chemistry computing; Computer aided
                 analysis; Davidson algorithm; Davidson method; Davidson
                 step; eigenvalue problem; eigenvalues and
                 eigenfunctions; Eigenvalues and eigenfunctions; extreme
                 eigenpairs; iterations; Lanczos method; Large sparse
                 eigenvalue problem; large sparse symmetric matrix;
                 multicomputers; parallel algorithms; parallel
                 characteristics; parallel Davidson method; Parallel
                 Davidson method; physics computing; quantum chemistry;
                 Rayleigh--Ritz method; reliability; stability;
                 synchronisation; synchronisation reduction",
  sponsororg =   "IEEE; ACM SIGARCH",
  treatment =    "P Practical",
}

@Article{Buneman:1994:TOB,
  author =       "Ruth Buneman and Robert J. Barker and Anthony L.
                 Peratt and Stephen H. Brecht and A. Bruce Langdon and
                 H. Ralph Lewis",
  title =        "A tribute to {Oscar Buneman} --- pioneer of plasma
                 simulation",
  journal =      j-IEEE-TRANS-PLASMA-SCI,
  volume =       "22",
  number =       "1",
  pages =        "22--30",
  month =        feb,
  year =         "1994",
  CODEN =        "ITPSBD",
  DOI =          "https://doi.org/10.1109/27.281546",
  ISSN =         "0093-3813 (print), 1939-9375 (electronic)",
  ISSN-L =       "0093-3813",
  bibdate =      "Fri Sep 8 15:51:38 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  abstract =     "Highlights are presented from among the many
                 contributions made by Oscar Buneman to the science,
                 engineering, and mathematics communities. Emphasis is
                 placed not only on ``what'' this pioneer of
                 computational plasma physics contributed but, of equal
                 importance, on ``how'' he made his contributions.
                 Therein lies the difference between technical
                 competence and scientific greatness. The picture which
                 emerges illustrates the open-mindedness, enthusiasm,
                 intellectual\slash physical stamina, imagination,
                 intellectual integrity, interdisciplinary curiosity,
                 and deep humanity that made this individual unique. As
                 a gentleman and a scholar, he had mastered the art of
                 making cold technical facts ``come to life.'' Oscar
                 Buneman died peacefully at his home near Stanford
                 University on Sunday, January 24th, 1993. The profound
                 influence he has had on so many of his colleagues
                 guarantees his immortality.",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Trans. Plasma Sci.",
  fjournal =     "IEEE Transactions on Plasma Science",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/issues?punumber=27",
  subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
                 1958); Oscar Buneman (28 September 1913--24 January
                 1993)",
}

@InProceedings{Cullum:1994:BLAa,
  author =       "Jane K. Cullum",
  title =        "Block {Lanczos} Algorithms for Large Matrix Eigenvalue
                 Problems: {Part I}. Real Symmetric Case",
  crossref =     "Brown:1994:PCL",
  pages =        "313--315",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1994:BLAb,
  author =       "Jane K. Cullum",
  title =        "Block {Lanczos} Algorithms for Large Matrix Eigenvalue
                 Problems: {Part II}. Nonsymmetric Case",
  crossref =     "Brown:1994:PCL",
  pages =        "316--318",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1994:LAL,
  author =       "Jane K. Cullum",
  title =        "{Lanczos} Algorithms for Large Scale Symmetric and
                 Nonsymmetric Matrix Eigenvalue Problems",
  crossref =     "Brown:1994:PCL",
  pages =        "11--31",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Crouzeix:1994:DM,
  subject-dates = "Oscar Buneman (28 September 1913--24 January 1993)",
  author =       "M. Crouzeix and B. Philippe and M. Sadkane",
  title =        "The {Davidson} method",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "1",
  pages =        "62--76",
  month =        jan,
  year =         "1994",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/0915004",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "94k:65053",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Stathopoulos:1994:DPF,
  author =       "Andreas Stathopoulos and Charlotte {Froese Fischer}",
  title =        "A {Davidson} program for finding a few selected
                 extreme eigenpairs of a large, sparse, real, symmetric
                 matrix",
  journal =      j-COMP-PHYS-COMM,
  volume =       "79",
  number =       "2",
  pages =        "268--290",
  month =        apr,
  year =         "1994",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(94)90073-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 21:29:43 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465594900736",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Cullum:1996:AVN,
  author =       "Jane Cullum",
  title =        "{Arnoldi} versus nonsymmetric {Lanczos} algorithms for
                 solving matrix eigenvalue problems",
  journal =      j-BIT-NUM-MATH,
  volume =       "36",
  number =       "3",
  pages =        "470--493",
  month =        sep,
  year =         "1996",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01731928",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F15",
  MRnumber =     "97f:65027",
  bibdate =      "Wed Jan 4 18:52:24 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=36&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "International Linear Algebra Year (Toulouse, 1995).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit36.html;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=36&issue=3&spage=470",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Sleijpen:1996:JDT,
  author =       "Gerard L. G. Sleijpen and Albert G. L. Booten and
                 Diederik R. Fokkema and Henk A. {Van der Vorst}",
  title =        "{Jacobi--Davidson} type methods for generalized
                 eigenproblems and polynomial eigenproblems",
  journal =      j-BIT-NUM-MATH,
  volume =       "36",
  number =       "3",
  pages =        "595--633",
  month =        sep,
  year =         "1996",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01731936",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F15 (65N25)",
  MRnumber =     "97k:65095",
  bibdate =      "Wed Jan 4 18:52:24 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=36&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "International Linear Algebra Year (Toulouse, 1995).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit36.html;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=36&issue=3&spage=595",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Borges:1998:PDT,
  author =       "Leonardo Borges and Suely Oliveira",
  title =        "A Parallel {Davidson}-Type Algorithm for Several
                 Eigenvalues",
  journal =      j-J-COMPUT-PHYS,
  volume =       "144",
  number =       "2",
  pages =        "727--748",
  day =          "10",
  month =        aug,
  year =         "1998",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1998.6003",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:27 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S002199919896003X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Shavitt:1998:HEC,
  author =       "Isaiah Shavitt",
  title =        "The history and evolution of configuration
                 interaction",
  journal =      j-MOL-PHYS,
  volume =       "94",
  number =       "1",
  pages =        "3--17",
  month =        may,
  year =         "1998",
  CODEN =        "MOPHAM",
  DOI =          "https://doi.org/10.1080/002689798168303",
  ISSN =         "0026-8976 (print), 1362-3028 (electronic)",
  ISSN-L =       "0026-8976",
  bibdate =      "Wed Aug 16 05:49:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  URL =          "https://www.tandfonline.com/doi/abs/10.1080/002689798168303",
  acknowledgement = ack-nhfb,
  author-dates = "Isaiah Shavitt (29 July 1929--8 December 2012)",
  fjournal =     "Molecular Physics",
  journal-URL =  "http://www.tandfonline.com/loi/tmph20",
}

@Article{Sleijpen:2000:JDI,
  author =       "Gerard L. G. Sleijpen and Henk A. {Van der Vorst}",
  title =        "A {Jacobi--Davidson} Iteration Method for Linear
                 Eigenvalue Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "2",
  pages =        "267--293",
  month =        jun,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144599363084",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:15 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/42/2;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36308",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2000",
}

@Article{Knyazev:2001:TOP,
  author =       "Andrew V. Knyazev",
  title =        "Toward the Optimal Preconditioned Eigensolver: Locally
                 Optimal Block Preconditioned Conjugate Gradient
                 Method",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "517--541",
  month =        mar,
  year =         "2001",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827500366124",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36612",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Leininger:2001:SSS,
  author =       "Matthew L. Leininger and C. David Sherrill and Wesley
                 D. Allen and Henry F. {Schaefer III}",
  title =        "Systematic Study of Selected Diagonalization Methods
                 for Configuration Interaction Matrices",
  journal =      j-J-COMPUT-CHEM,
  volume =       "22",
  number =       "13",
  pages =        "1574--1589",
  month =        oct,
  year =         "2001",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/jcc.1111",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Thu Nov 29 14:54:35 MST 2012",
  bibsource =    "http://www.interscience.wiley.com/jpages/0192-8651;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0192-8651",
  onlinedate =   "2 Aug 2001",
}

@Article{Shepard:2001:SPA,
  author =       "Ron Shepard and Albert F. Wagner and Jeffrey L. Tilson
                 and Michael Minkoff",
  title =        "The Subspace Projected Approximate Matrix ({SPAM})
                 Modification of the {Davidson} Method",
  journal =      j-J-COMPUT-PHYS,
  volume =       "172",
  number =       "2",
  pages =        "472--514",
  day =          "20",
  month =        sep,
  year =         "2001",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.2001.6828",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:09 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999101968287",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Book{Cullum:2002:LAL,
  author =       "Jane K. Cullum and Ralph A. Willoughby",
  title =        "{Lanczos} algorithms for large symmetric eigenvalue
                 computations",
  volume =       "41",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xx + 268",
  year =         "2002",
  ISBN =         "0-89871-523-7 (paperback)",
  ISBN-13 =      "978-0-89871-523-1 (paperback)",
  LCCN =         "QA193 .C84 2002",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Classics in applied mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0664/2002075847-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0664/2002075847-t.html",
  acknowledgement = ack-nhfb,
  remark =       "Originally published: Boston:Birkh{\"a}user, 1985-, in
                 series: Progress in scientific computing ; v. 3. v. 1.
                 Theory.",
  subject =      "Symmetric matrices; Data processing; Eigenvalues",
}

@Article{Cullum:2002:TSA,
  author =       "Jane Cullum and Tong Zhang",
  title =        "Two-Sided {Arnoldi} and Nonsymmetric {Lanczos}
                 Algorithms",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "24",
  number =       "2",
  pages =        "303--319",
  year =         "2002",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898339013",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue Oct 22 18:08:00 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33901",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Shepard:2002:RCE,
  author =       "Ron Shepard and Isaiah Shavitt and Hans Lischka",
  title =        "Reducing {I/O} costs for the eigenvalue procedure in
                 large-scale configuration interaction calculations",
  journal =      j-J-COMPUT-CHEM,
  volume =       "23",
  number =       "11",
  pages =        "1121--1125",
  month =        aug,
  year =         "2002",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/jcc.10022",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Thu Nov 29 14:54:39 MST 2012",
  bibsource =    "http://www.interscience.wiley.com/jpages/0192-8651;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Isaiah Shavitt (29 July 1929--8 December 2012)",
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0192-8651",
  onlinedate =   "10 Jun 2002",
}

@Article{Johnson:2013:FLS,
  author =       "Calvin W. Johnson and W. Erich Ormand and Plamen G.
                 Krastev",
  title =        "Factorization in large-scale many-body calculations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "184",
  number =       "12",
  pages =        "2761--2774",
  month =        dec,
  year =         "2013",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/j.cpc.2013.07.022",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Dec 2 12:04:52 MST 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465513002518",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "BIGSTICK",
}

@Book{Arbenz:2016:LNS,
  author =       "Peter Arbenz",
  title =        "Lecture Notes on Solving Large Scale Eigenvalue
                 Problems",
  publisher =    "Computer Science Department, ETH Z{\"u}rich",
  address =      "Z{\"u}rich, Switzerland",
  pages =        "vi + 259",
  year =         "2016",
  bibdate =      "Mon Sep 04 10:05:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/pagerank.bib",
  URL =          "https://people.inf.ethz.ch/arbenz/ewp/Lnotes/lsevp.pdf",
  acknowledgement = ack-nhfb,
  tableofcontents = "1 Introduction / 1 \\
                 1.1 What makes eigenvalues interesting? / 1 \\
                 1.2 Example 1: The vibrating string / 2 \\
                 1.2.1 Problem setting / 2 \\
                 1.2.2 The method of separation of variables / 5 \\
                 1.3 Numerical methods for solving 1-dimensional
                 problems / 6 \\
                 1.3.1 Finite differences / 6 \\
                 1.3.2 The finite element method / 7 \\
                 1.3.3 Global functions / 8 \\
                 1.3.4 A numerical comparison / 9 \\
                 1.4 Example 2: The heat equation / 9 \\
                 1.5 Example 3: The wave equation / 12 \\
                 1.6 The 2D Laplace eigenvalue problem / 13 \\
                 1.6.1 The finite difference method / 13 \\
                 1.6.2 The finite element method (FEM) / 16 \\
                 1.6.3 A numerical example / 20 \\
                 1.7 Cavity resonances in particle accelerators / 21 \\
                 1.8 Spectral clustering / 23 \\
                 1.8.1 The graph Laplacian / 24 \\
                 1.8.2 Spectral clustering / 25 \\
                 1.8.3 Normalized graph Laplacians / 27 \\
                 1.9 Google's PageRank / 28 \\
                 1.10 Other sources of eigenvalue problems / 30 \\
                 Bibliography / 31 \\
                 2 Basics / 33 \\
                 2.1 Notation / 33 \\
                 2.2 Statement of the problem / 34 \\
                 2.3 Similarity transformations / 37 \\
                 2.4 Schur decomposition / 38 \\
                 2.5 The real Schur decomposition / 39 \\
                 2.6 Normal matrices / 40 \\
                 2.7 Hermitian matrices / 41 \\
                 2.8 The Jordan normal form / 43 \\
                 2.9 Projections / 45 \\
                 2.10 The Rayleigh quotient / 47 \\
                 2.11 Cholesky factorization / 49 \\
                 2.12 The singular value decomposition (SVD) / 50 \\
                 Bibliography / 52 \\
                 3 Newton methods / 53 \\
                 3.1 Linear and nonlinear eigenvalue problems / 53 \\
                 3.2 Zeros of the determinant / 54 \\
                 3.2.1 Algorithmic differentiation / 55 \\
                 3.2.2 Hyman's algorithm / 55 \\
                 3.2.3 Computing multiple zeros / 58 \\
                 3.3 Newton methods for the constrained matrix problem /
                 58 \\
                 3.4 Successive linear approximations / 60 \\
                 Bibliography / 61 \\
                 4 The $ Q R $ Algorithm / 63 \\
                 4.1 The basic $ Q R $ algorithm / 63 \\
                 4.1.1 Numerical experiments / 64 \\
                 4.2 The Hessenberg $ Q R $ algorithm / 67 \\
                 4.2.1 A numerical experiment / 69 \\
                 4.2.2 Complexity / 70 \\
                 4.3 The Householder reduction to Hessenberg form / 71
                 \\
                 4.3.1 Householder reflectors / 71 \\
                 4.3.2 Reduction to Hessenberg form / 71 \\
                 4.4 Improving the convergence of the $ Q R $ algorithm
                 / 73 \\
                 4.4.1 A numerical example / 74 \\
                 4.4.2 $ Q R $ algorithm with shifts / 75 \\
                 4.4.3 A numerical example / 76 \\
                 4.5 The double shift $ Q R $ algorithm / 77 \\
                 4.5.1 A numerical example / 81 \\
                 4.5.2 The complexity / 83 \\
                 4.6 The symmetric tridiagonal $ Q R $ algorithm / 84
                 \\
                 4.6.1 Reduction to tridiagonal form / 84 \\
                 4.6.2 The tridiagonal $ Q R $ algorithm / 85 \\
                 4.7 Research / 87 \\
                 4.8 Summary / 87 \\
                 Bibliography / 88 \\
                 5 Cuppen's Divide and Conquer Algorithm / 91 \\
                 5.1 The divide and conquer idea / 91 \\
                 5.2 Partitioning the tridiagonal matrix / 92 \\
                 5.3 Solving the small systems / 92 \\
                 5.4 Deflation / 93 \\
                 5.4.1 Numerical examples / 94 \\
                 5.5 The eigenvalue problem for $D + \rho v v^T$ / 95
                 \\
                 5.6 Solving the secular equation / 98 \\
                 5.7 A first algorithm / 99 \\
                 5.7.1 A numerical example / 100 \\
                 5.8 The algorithm of Gu and Eisenstat / 103 \\
                 5.8.1 A numerical example [continued] / 104 \\
                 Bibliography / 107 \\
                 6 LAPACK and the BLAS / 109 \\
                 6.1 LAPACK / 109 \\
                 6.2 BLAS / 110 \\
                 6.2.1 Typical performance numbers for the BLAS / 111
                 \\
                 6.3 Blocking / 113 \\
                 6.4 LAPACK solvers for the symmetric eigenproblems /
                 114 \\
                 6.5 Generalized Symmetric Definite Eigenproblems (GSEP)
                 / 116 \\
                 6.6 An example of a LAPACK routines / 116 \\
                 Bibliography / 122 \\
                 7 Vector iteration (power method) / 125 \\
                 7.1 Simple vector iteration / 125 \\
                 7.2 Angles between vectors / 126 \\
                 7.3 Convergence analysis / 127 \\
                 7.4 A numerical example / 130 \\
                 7.5 The symmetric case / 131 \\
                 7.6 Inverse vector iteration / 135 \\
                 7.7 The generalized eigenvalue problem / 139 \\
                 7.8 Computing higher eigenvalues / 139 \\
                 7.9 Rayleigh quotient iteration / 140 \\
                 7.9.1 A numerical example / 143 \\
                 Bibliography / 144 \\
                 8 Simultaneous vector or subspace iterations / 145 \\
                 8.1 Basic subspace iteration / 145 \\
                 8.2 Angles between subspaces / 146 \\
                 8.3 Convergence of basic subspace iteration / 148 \\
                 8.4 Accelerating subspace iteration / 153 \\
                 8.5 Relation between subspace iteration and $ Q R $
                 algorithm / 158 \\
                 8.6 Addendum / 161 \\
                 Bibliography / 161 \\
                 9 Krylov subspaces / 163 \\
                 9.1 Introduction / 163 \\
                 9.2 Definition and basic properties / 164 \\
                 9.3 Polynomial representation of Krylov subspaces / 165
                 \\
                 9.4 Error bounds of Saad / 168 \\
                 Bibliography / 171 \\
                 10 Arnoldi and Lanczos algorithms / 173 \\
                 10.1 An orthonormal basis for the Krylov space Kj (x) /
                 173 \\
                 10.2 Arnoldi algorithm with explicit restarts / 175 \\
                 10.3 The Lanczos basis / 176 \\
                 10.4 The Lanczos process as an iterative method / 178
                 \\
                 10.5 An error analysis of the unmodified Lanczos
                 algorithm / 185 \\
                 10.6 Partial reorthogonalization / 187 \\
                 10.7 Block Lanczos / 190 \\
                 10.8 External selective reorthogonalization / 193 \\
                 Bibliography / 194 \\
                 11 Restarting Arnoldi and Lanczos algorithms / 195 \\
                 11.1 The $m$-step Arnoldi iteration / 195 \\
                 11.2 Implicit restart / 196 \\
                 11.3 Convergence criterion / 198 \\
                 11.4 The generalized eigenvalue problem / 199 \\
                 11.5 A numerical example / 201 \\
                 11.6 Another numerical example / 206 \\
                 11.7 The Lanczos algorithm with thick restarts / 210
                 \\
                 11.8 Krylov--Schur algorithm / 213 \\
                 11.9 The rational Krylov space method / 214 \\
                 Bibliography / 215 \\
                 12 The Jacobi--Davidson Method / 217 \\
                 12.1 The Davidson algorithm / 217 \\
                 12.2 The Jacobi orthogonal component correction / 218
                 \\
                 12.2.1 Restarts / 221 \\
                 12.2.2 The computation of several eigenvalues / 221 \\
                 12.2.3 Spectral shifts / 222 \\
                 12.3 The generalized Hermitian eigenvalue problem / 224
                 \\
                 12.4 A numerical example / 224 \\
                 12.5 The Jacobi--Davidson algorithm for interior
                 eigenvalues / 228 \\
                 12.6 Harmonic Ritz values and vectors / 229 \\
                 12.7 Refined Ritz vectors / 231 \\
                 12.8 The generalized Schur decomposition / 233 \\
                 12.9 JDQZ: Computing a partial $ Q Z $ decomposition /
                 233 \\
                 12.9.1 Restart / 235 \\
                 12.9.2 Deflation / 235 \\
                 12.9.3 Algorithm / 236 \\
                 12.10 Jacobi--Davidson for nonlinear eigenvalue
                 problems / 236 \\
                 Bibliography / 239 \\
                 13 Rayleigh quotient and trace minimization / 241 \\
                 13.1 Introduction / 241 \\
                 13.2 The method of steepest descent / 242 \\
                 13.3 The conjugate gradient algorithm / 243 \\
                 13.4 Locally optimal PCG (LOPCG) / 247 \\
                 13.5 The block Rayleigh quotient minimization algorithm
                 (BRQMIN) / 250 \\
                 13.6 The locally-optimal block preconditioned conjugate
                 gradient method (LOBPCG) / 250 \\
                 13.7 A numerical example / 251 \\
                 13.8 Trace minimization / 253 \\
                 Bibliography / 258",
}

@Article{Parrish:2016:BBD,
  author =       "Robert M. Parrish and Edward G. Hohenstein and Todd J.
                 Mart{\'\i}nez",
  title =        "``{Balancing}'' the Block {Davidson--Liu} Algorithm",
  journal =      j-J-CHEM-THEORY-COMPUT,
  volume =       "12",
  number =       "7",
  pages =        "3003--3007",
  day =          "12",
  month =        jul,
  year =         "2016",
  CODEN =        "JCTCCE",
  DOI =          "https://doi.org/10.1021/acs.jctc.6b00459",
  ISSN =         "1549-9618 (print), 1549-9626 (electronic)",
  ISSN-L =       "1549-9618",
  bibdate =      "Tue Aug 15 13:08:04 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Theory and Computation",
  journal-URL =  "http://pubs.acs.org/loi/jctcce",
}

@Article{Aktulga:2017:HPB,
  author =       "Hasan Metin Aktulga and Md. Afibuzzaman and Samuel
                 Williams and Aydin Buluc and Meiyue Shao and Chao Yang
                 and Esmond G. Ng and Pieter Maris and James P. Vary",
  title =        "A High Performance Block Eigensolver for Nuclear
                 Configuration Interaction Calculations",
  journal =      j-IEEE-TRANS-PAR-DIST-SYS,
  volume =       "28",
  number =       "6",
  pages =        "1550--1563",
  month =        jun,
  year =         "2017",
  CODEN =        "ITDSEO",
  DOI =          "https://doi.org/10.1109/TPDS.2016.2630699",
  ISSN =         "1045-9219 (print), 1558-2183 (electronic)",
  ISSN-L =       "1045-9219",
  bibdate =      "Thu Jun 15 05:46:51 MDT 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys2010.bib",
  URL =          "https://www.computer.org/csdl/trans/td/2017/06/07748453-abs.html",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=71",
}

@Article{Kelley:2020:MIG,
  author =       "C. T. Kelley and J. Bernholc and E. L. Briggs and
                 Steven Hamilton and Lin Lin and Chao Yang",
  title =        "Mesh independence of the generalized {Davidson}
                 algorithm",
  journal =      j-J-COMPUT-PHYS,
  volume =       "409",
  number =       "??",
  pages =        "Article 109322",
  day =          "15",
  month =        may,
  year =         "2020",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2020.109322",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Wed May 27 13:36:14 MDT 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2020.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999120300966",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Pollock:2021:EAA,
  author =       "Sara Pollock and L. Ridgway Scott",
  title =        "Extrapolating the {Arnoldi} Algorithm To Improve
                 Eigenvector Convergence",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  day =          "21",
  month =        mar,
  year =         "2021",
  bibdate =      "Tue Aug 15 13:10:21 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib",
  note =         "2103.08635",
  abstract =     "We consi