Last update:
Wed Nov 8 10:30:40 MST 2023
Bruno Zumino Gauge Properties of Propagators in
Quantum Electrodynamics . . . . . . . . 1--7
R. A. Toupin and
R. S. Rivlin Dimensional Changes in Crystals Caused
by Dislocations . . . . . . . . . . . . 8--15
A. Erdélyi Asymptotic Solutions of Differential
Equations with Transition Points or
Singularities . . . . . . . . . . . . . 16--26
Takashi Ohmura Minimum Property in the Hulthén-Type
Variational Methods . . . . . . . . . . 27--34
Takashi Ohmura Stationary Expression for Effective
Range . . . . . . . . . . . . . . . . . 35--40
Abraham Klein Mandelstam Representation for Potential
Scattering . . . . . . . . . . . . . . . 41--47
I. M. Gel'fand and
A. M. Yaglom Integration in Functional Spaces and its
Applications in Quantum Physics . . . . 48--69
Peter Mazur and
Elliott Montroll Poincaré Cycles, Ergodicity, and
Irreversibility in Assemblies of Coupled
Harmonic Oscillators . . . . . . . . . . 70--84
A. Grossmann Description of the Extended Tube . . . . 85--86
Leopoldo S. Garcia-Colin Pair Distribution Function of a Hard
Sphere Bose System Calculated by the
Pseudo-Potential Method . . . . . . . . 87--96
Leopoldo S. Garcia-Colin and
Jean Peretti On the Pair Distribution Function of a
Hard Sphere Bose System . . . . . . . . 97--106
Oldwig Von Roos Formal Solution of Liouville's Equation 107--111
Oldwig Von Roos Solution of the Collisionless Boltzmann
Equation using a Diagram Technique . . . 112--120
J. M. Luttinger and
R. B. Thomas Variational Method for Studying the
Motion of Classical Vibrating Systems 121--126
A. C. Pipkin and
R. S. Rivlin Electrical Conduction in Deformed
Isotropic Materials . . . . . . . . . . 127--130
Ronald Aaron and
Abraham Klein Convergence of the Born Expansion . . . 131--138
T. A. Green and
O. E. Lanford Rigorous Derivation of the Phase Shift
Formula for the Hilbert Space Scattering
Operator of a Single Particle . . . . . 139--148
Jan Tarski Analyticity of the Fourth Order
Scattering Amplitude with Two Complex
Invariants . . . . . . . . . . . . . . . 149--163
J. Zak Method to Obtain the Character Tables of
Nonsymmorphic Space Groups . . . . . . . 165--171
Otto Bergmann Problem of Rainich for Two-Component
Spinors . . . . . . . . . . . . . . . . 172--177
George Backus Linearized Plasma Oscillations in
Arbitrary Electron Velocity
Distributions . . . . . . . . . . . . . 178--191
Emmanuel Meeron Nodal Expansions. III. Exact Integral
Equations for Particle Correlation
Functions . . . . . . . . . . . . . . . 192--201
S. Sherman Combinatorial Aspects of the Ising Model
for Ferromagnetism. I. A Conjecture of
Feynman on Paths and Graphs . . . . . . 202--217
G. M. Prosperi and
A. Scotti Ergodicity Conditions in Quantum
Mechanics . . . . . . . . . . . . . . . 218--221
B. Bernstein Proof of Carathéodory's Local Theorem and
Its Global Application to Thermostatics 222--224
Herbert S. Wilf Numerical Integration of the Transport
Equation with No Angular Truncation . . 225--230
R. F. Streater Double Commutator in Quantum Field
Theory . . . . . . . . . . . . . . . . . 231--233
Daniel C. Lewis and
Olga Taussky Some Remarks Concerning the Real and
Imaginary Parts of the Characteristic
Roots of a Finite Matrix . . . . . . . . 234--236
J. S. Lomont Decomposition of Direct Products of
Representations of the Inhomogeneous
Lorentz Group . . . . . . . . . . . . . 237--243
S. Albertoni and
P. Bocchieri and
A. Loinger New Theorem in the Classical Ensemble
Theory . . . . . . . . . . . . . . . . . 244--248
K. Symanzik On the Many-Particle Structure of
Green's Functions in Quantum Field
Theory . . . . . . . . . . . . . . . . . 249--273
Daniel I. Fivel and
Abraham Klein On the Analytic Properties of Partial
Wave Amplitudes in Yukawa Potential
Scattering . . . . . . . . . . . . . . . 274--279
Richard Bellman and
Robert Kalaba and
G. Milton Wing Invariant Imbedding and Mathematical
Physics. I. Particle Processes . . . . . 280--308
Robert J. Rubin Statistical Dynamics of Simple Cubic
Lattices. Model for the Study of
Brownian Motion . . . . . . . . . . . . 309--318
Roger G. Newton Analytic Properties of Radial Wave
Functions . . . . . . . . . . . . . . . 319--347
I. Prigogine and
F. Henin On the General Theory of the Approach to
Equilibrium. I. Interacting Normal Modes 349--371
S. Teitler and
R. F. Wallis Liouville Equation and the Resolvent
Formalism . . . . . . . . . . . . . . . 372--377
Armand Siegel Differential-Operator Approximations to
the Linear Boltzmann Equation . . . . . 378--390
Melville S. Green Topological Derivation of the Mayer
Density Series for the Pressure of an
Imperfect Gas . . . . . . . . . . . . . 391--394
Rosemary A. Coldwell-Horsfall and
Alexei A. Maradudin Zero-Point Energy of an Electron Lattice 395--404
P. A. Sturrock Generalization of the Lagrange Expansion
with Application to Physical Problems 405--408
Eugene P. Wigner Normal Form of Antiunitary Operators . . 409--413
Eugene P. Wigner Phenomenological Distinction between
Unitary and Antiunitary Symmetry
Operators . . . . . . . . . . . . . . . 414--416
U. Fano Real Representations of Coordinate
Rotations . . . . . . . . . . . . . . . 417--423
A. Grossmann Algebraic Characterization of the TCP
Operation . . . . . . . . . . . . . . . 424--428
R. E. Cutkosky Singularities and Discontinuities of
Feynman Amplitudes . . . . . . . . . . . 429--433
R. Arnowitt and
S. Deser and
C. W. Misner Consistency of the Canonical Reduction
of General Relativity . . . . . . . . . 434--439
R. Finkelstein Spacetime of the Elementary Particles 440--451
Roger G. Newton Analytic Properties of Radial Wave
Functions . . . . . . . . . . . . . . . 452--452
R. F. Streater Double Commutator in Quantum Field
Theory . . . . . . . . . . . . . . . . . 452--452
Harold V. McIntosh Symmetry-Adapted Functions Belonging to
the Symmetric Groups . . . . . . . . . . 453--460
P.-O. Löwdin and
R. Pauncz and
J. de Heer On the Calculation of the Inverse of the
Overlap Matrix in Cyclic Systems . . . . 461--467
I. E. Segal Quantization of Nonlinear Systems . . . 468--488
Adel Da Silveira Kemmer Wave Equation in Riemann Space 489--491
H. Araki Hamiltonian Formalism and the Canonical
Commutation Relations in Quantum Field
Theory . . . . . . . . . . . . . . . . . 492--504
S. H. Vosko Approximate Solutions of the
Bethe--Salpeter Equation . . . . . . . . 505--515
M. Girardeau Relationship between Systems of
Impenetrable Bosons and Fermions in One
Dimension . . . . . . . . . . . . . . . 516--523
H. Epstein Generalization of the
``Edge-of-the-Wedge'' Theorem . . . . . 524--531
R. Acharya and
E. C. G. Sudarshan ``Front'' Description in Relativistic
Quantum Mechanics . . . . . . . . . . . 532--536
H. A. Buchdahl On the Nonexistence of a Class of Static
Einstein Spaces Asymptotic at Infinity
to a Space of Constant Curvature . . . . 537--541
A. C. Pipkin and
R. S. Rivlin Galvanomagnetic and Thermomagnetic
Effects in Isotropic Materials . . . . . 542--546
J. R. Ehrman and
L. D. Fosdick and
D. C. Handscomb Computation of Order Parameters in an
Ising Lattice by the Monte Carlo Method 547--558
George E. Backus Linearized Plasma Oscillations in
Arbitrary Electron Distributions . . . . 559--559
Eugene J. Saletan Contraction of Lie Groups . . . . . . . 1--21
Behram Kursuno\uglu Complex Orthogonal and Antiorthogonal
Representation of Lorentz Group . . . . 22--32
J. M. Cook Asymptotic Properties of a Boson Field
with Given Source . . . . . . . . . . . 33--45
Smio Tani Synthetic Approach and Canonical
Variables in a Nonlocal Field Theory . . 46--51
M. F. Sykes Some Counting Theorems in the Theory of
the Ising Model and the Excluded Volume
Problem . . . . . . . . . . . . . . . . 52--62
C. Domb and
M. F. Sykes Use of Series Expansions for the Ising
Model Susceptibility and Excluded Volume
Problem . . . . . . . . . . . . . . . . 63--67
F. Henin and
P. Résibois and
F. Andrews On the General Theory of the Approach to
Equilibrium. II. Interacting Particles 68--90
Frank C. Andrews On the General Theory of the Approach to
Equilibrium. III. Inhomogeneous Systems 91--95
George Gioumousis and
C. F. Curtiss Molecular Collisions. II. Diatomic
Molecules . . . . . . . . . . . . . . . 96--104
Tai Tsun Wu Some Nonequilibrium Properties of a Bose
System of Hard Spheres at Extremely Low
Temperatures . . . . . . . . . . . . . . 105--123
Robert H. Kraichnan Dynamics of Nonlinear Stochastic Systems 124--148
Sylvan Katz On a Moving Boundary Problem . . . . . . 149--150
Bryce S. DeWitt Quantization of Fields with
Infinite-Dimensional Invariance Groups 151--162
Huzihiro Araki Generalized Retarded Functions and
Analytic Function in Momentum Space in
Quantum Field Theory . . . . . . . . . . 163--177
Eyvind H. Wichmann and
Ching-Hung Woo Integral Representation for the
Nonrelativistic Coulomb Green's Function 178--180
A. O. Barut and
K. H. Ruei Analytical Properties of $S$ Matrix and
Uniqueness of the Scattering Potential 181--187
Roger G. Newton Structure of the Many-Channel $S$ Matrix 188--197
S. Tani Products of Principal Value
Singularities Used in the Formal Theory
of Scattering . . . . . . . . . . . . . 198--201
J. F. Schell Classification of Four-Dimensional
Riemannian Spaces . . . . . . . . . . . 202--206
E. P. Wigner Geometry of Light Paths between Two
Material Bodies . . . . . . . . . . . . 207--211
T. W. B. Kibble Lorentz Invariance and the Gravitational
Field . . . . . . . . . . . . . . . . . 212--221
Robert M. Lewis Solution of the Equations of Statistical
Mechanics . . . . . . . . . . . . . . . 222--231
Gordon Baym and
N. David Mermin Determination of Thermodynamic Green's
Functions . . . . . . . . . . . . . . . 232--234
Ian C. Percival Almost Periodicity and the Quantal $H$
Theorem . . . . . . . . . . . . . . . . 235--239
H. J. Bremermann and
L. Durand On Analytic Continuation,
Multiplication, and Fourier
Transformations of Schwartz
Distributions . . . . . . . . . . . . . 240--258
James Conlan and
J. B. Diaz and
W. E. Parr On the Capacity of the Icosahedron . . . 259--261
Joseph B. Keller Lower Bounds and Isoperimetric
Inequalities for Eigenvalues of the
Schrödinger Equation . . . . . . . . . . 262--266
Robert J. Rubin Errata: ``Statistical Dynamics of Simple
Cubic Lattices. Model for the Study of
Brownian Motion'' . . . . . . . . . . . 266--266
Huzihiro Araki On the Connection of Spin and
Commutation Relations between Different
Fields . . . . . . . . . . . . . . . . . 267--270
J. Schwartz Free Quantized Lorentzian Fields . . . . 271--290
Ivor Robinson Null Electromagnetic Fields . . . . . . 290--291
Arthur J. Layzer Free Propagator Expansion in the
Evaluation of the Lamb Shift. I . . . . 292--307
Arthur J. Layzer Free Propagator Expansion in the
Evaluation of the Lamb Shift. II . . . . 308--323
E. Newman Some Properties of Empty Space-Time . . 324--327
J. N. Goldberg and
R. P. Kerr Some Applications of the
Infinitesimal-Holonomy Group to the
Petrov Classification of Einstein Spaces 327--332
R. P. Kerr and
J. N. Goldberg Einstein Spaces With Four-Parameter
Holonomy Groups . . . . . . . . . . . . 332--336
A. Temkin Absolute Definition of Phase Shift in
the Elastic Scattering of a Particle
from Compound Systems . . . . . . . . . 336--340
Elliott Lieb Operator Formalism in Statistical
Mechanics . . . . . . . . . . . . . . . 341--343
H. S. Green Theories of Transport in Fluids . . . . 344--348
Alexei A. Maradudin and
George H. Weiss and
Donald W. Jepsen Nonequilibrium Processes in Isotopically
Disordered Crystals . . . . . . . . . . 349--369
Robert Zwanzig Nonequilibrium Processes in Isotopically
Disordered Crystals. Dependence on
Degree of Order . . . . . . . . . . . . 370--372
Robert J. Rubin Statistical Dynamics of Simple Cubic
Lattices. Model for the Study of
Brownian Motion. II . . . . . . . . . . 373--386
Joseph Ford Equipartition of Energy for Nonlinear
Systems . . . . . . . . . . . . . . . . 387--393
Norman Zitron and
Samuel N. Karp Higher-Order Approximations in Multiple
Scattering. I. Two-Dimensional Scalar
Case . . . . . . . . . . . . . . . . . . 394--402
Norman Zitron and
Samuel N. Karp Higher-Order Approximations in Multiple
Scattering. II. Three-Dimensional Scalar
Case . . . . . . . . . . . . . . . . . . 402--406
Julian Schwinger Brownian Motion of a Quantum Oscillator 407--432
L. C. Biedenharn Wigner Coefficients for the $R_4$ Group
and Some Applications . . . . . . . . . 433--441
B. C. Carlson Ellipsoidal Distributions of Charge or
Mass . . . . . . . . . . . . . . . . . . 441--450
E. Guth and
E. Inönü Group-Theoretical Treatment of Time- and
Energy-Dependent Multiple Scattering
with Application to the Slowing-Down of
Neutrons . . . . . . . . . . . . . . . . 451--458
James M. Knight Strict Localization in Quantum Field
Theory . . . . . . . . . . . . . . . . . 459--471
D. W. Sciama On the Interpretation of the
Einstein--Schrödinger Unified Field
Theory . . . . . . . . . . . . . . . . . 472--477
Robert A. Mapleton Characteristic Coulomb Green's Function
and Its Eigenfunction Expansion . . . . 478--482
Robert A. Mapleton Application of a Singular Wave-Function
Operator in Scattering Theory . . . . . 482--490
Thomas F. O'Malley and
Larry Spruch and
Leonard Rosenberg Modification of Effective-Range Theory
in the Presence of a Long-Range
$(r^{-4})$ Potential . . . . . . . . . . 491--498
K. L. Kowalski and
D. Feldman Transition Matrix for Nucleon-Nucleon
Scattering . . . . . . . . . . . . . . . 499--511
P. C. Waterman and
Rohn Truell Multiple Scattering of Waves . . . . . . 512--537
Roman Zelazny Exact Solution of a Critical Problem for
a Slab . . . . . . . . . . . . . . . . . 538--542
Shin Yabushita Tschebyscheff Polynomial Approximation
Method of the Neutron-Transport Equation 543--549
Tai Tsun Wu Theory of the Dipole Antenna and the
Two-Wire Transmission Line . . . . . . . 550--574
Hirsh Cohen and
W. L. Miranker Boundary-Layer Behavior in the
Superconductor Transition Problem . . . 575--583
J. S. Langer Frequency Spectrum of a Disordered
One-Dimensional Lattice . . . . . . . . 584--591
N. G. Van Kampen Exact Calculation of the Fluctuation
Spectrum for a Nonlinear Model System 592--601
Daniel Mattis and
Elliott Lieb Exact Wave Functions in
Superconductivity . . . . . . . . . . . 602--609
Michael E. Fisher and
John W. Essam Some Cluster Size and Percolation
Problems . . . . . . . . . . . . . . . . 609--619
Michael E. Fisher Critical Probabilities for Cluster Size
and Percolation Problems . . . . . . . . 620--627
Ivan T. Frisch and
Wan H. Kim Properties of 2-Semi-Isomorphic Graphs
and Their Applications: Active Network
Analysis . . . . . . . . . . . . . . . . 627--635
A. C. Pipkin and
R. S. Rivlin Electrical Conduction in a Stretched and
Twisted Tube . . . . . . . . . . . . . . 636--638
Herbert S. Wilf Errata: ``Numerical Integration of the
Transport Equation with No Angular
Truncation'' . . . . . . . . . . . . . . 638--638
J. Bros and
A. Messiah and
R. Stora A Problem of Analytic Completion Related
to the Jost--Lehmann--Dyson Formula . . 639--651
M. Wellner and
R. B. Curtis Role of the Asymptotic Condition in a
Lagrangian Field Theory . . . . . . . . 651--655
R. J. Eden and
P. V. Landshoff and
J. C. Polkinghorne and
J. C. Taylor Acnodes and Cusps on Landau Curves . . . 656--663
Stig Hjalmars Wave Equations for Scalar and Vector
Particles in Gravitational Fields . . . 663--666
E. T. Newman and
L. A. Tamburino New Approach to Einstein's Empty Space
Field Equations . . . . . . . . . . . . 667--674
Ezra T. Newman New Approach to the Einstein and
Maxwell-Einstein Field Equations . . . . 674--676
J. Plebanski and
J. Ryten Coordinate Conditions . . . . . . . . . 677--681
A. Lenard Exact Statistical Mechanics of a
One-Dimensional System with Coulomb
Forces . . . . . . . . . . . . . . . . . 682--693
Chester P. Carpenter and
Fritz W. Mezger General Spherical Harmonics Formulation
of Plasma Boltzmann Equation . . . . . . 694--701
R. K. Nesbet Construction of Symmetry-Adapted
Functions in the Many-Particle Problem 701--709
Alex Grossmann and
Tai Tsun Wu Schrödinger Scattering Amplitude. I . . . 710--713
Alex Grossmann Schrödinger Scattering Amplitude. II . . 714--718
S. C. Snowdon Theory of Multipole Radiation . . . . . 719--722
George Gioumousis Molecular Collisions. III. Symmetric Top
Molecules . . . . . . . . . . . . . . . 723--727
J. M. Hammersley Comparison of Atom and Bond Percolation
Processes . . . . . . . . . . . . . . . 728--733
Richard R. Chasman Eigenvalue Problems in Matrix Mechanics 733--735
Jerome D. Swalen and
Louis Pierce Remarks on the Continued Fraction
Calculation of Eigenvalues and
Eigenvectors . . . . . . . . . . . . . . 736--739
Louis Pierce Calculation of the Eigenvalues of a
Tridiagonal Hermitian Matrix . . . . . . 740--741
Eugene J. Saletan Erratum: ``Contraction of Lie Groups . . 742--742
Jan Lopuszanski A Criterion for the Free Character of
Fields . . . . . . . . . . . . . . . . . 743--747
Christian Fronsdal Analyticity of Wightman Functions . . . 748--758
G. F. Dell'Antonio Support of a Field in $p$ Space . . . . 759--766
E. C. G. Sudarshan and
K. Bardakci Nature of the Axioms of Relativistic
Quantum Field Theory. I . . . . . . . . 767--771
Thomas F. Jordan and
E. C. G. Sudarshan Dynamical Mappings of Density Operators
in Quantum Mechanics . . . . . . . . . . 772--775
D. W. Robinson A Note on $k$-Commutative Matrices . . . 776--777
W. Israel and
R. Trollope New Possibilities for a Unified Field
Theory . . . . . . . . . . . . . . . . . 777--786
A. H. Taub Approximate Stress Energy Tensor for
Gravitational Fields . . . . . . . . . . 787--793
Farouk M. Odeh Principles of Limiting Absorption and
Limiting Amplitude in Scattering Theory.
I. Schrödinger's Equation . . . . . . . . 794--800
Farouk M. Odeh Principles of Limiting Absorption and
Limiting Amplitude in Scattering Theory.
II. The Wave Equation in an
Inhomogeneous Medium . . . . . . . . . . 800--802
Masami Wakano Foundations for a Treatment of the
Scattering of Light by the
Hydrodynamical and Statistical Atom
Model . . . . . . . . . . . . . . . . . 803--824
Peter R. Fontana Symmetric Expansion of One- and
Two-Center Coulomb Potentials . . . . . 825--828
Lawrence Dresner Isoperimetric and Other Inequalities in
the Theory of Neutron Transport . . . . 829--847
A. A. Broyles Probability Distribution for Classical
Fluids . . . . . . . . . . . . . . . . . 848--857
J. S. Lomont Note on the
Albertoni--Bocchieri--Loinger Theorem of
Classical Statistical Mechanics . . . . 858--860
Robert J. Rubin and
Robert Zwanzig A Lattice with an Unusual Frequency
Spectrum . . . . . . . . . . . . . . . . 861--864
A. C. Pipkin and
R. S. Rivlin Electrical Conduction in a Noncircular
Rod . . . . . . . . . . . . . . . . . . 865--868
Demetrios G. Magiros Method for Defining Principal Modes of
Nonlinear Systems Utilizing Infinite
Determinants . . . . . . . . . . . . . . 869--875
Eyvind H. Wichmann Note on the Algebraic Aspect of the
Integration of a System of Ordinary
Linear Differential Equations . . . . . 876--880
Raimond A. Struble and
John E. Fletcher General Perturbational Solution of the
Harmonically Forced van der Pol Equation 880--891
Tai Tsun Wu Transient Response of a Dipole Antenna 892--894
L. F. Cook and
Jan Tarski Some Properties of the Five-Point
Function in Perturbation Theory . . . . 1--30
O. W. Greenberg Two Folk Lemmas on the Expansion of the
$S$ Matrix or the Out Field in Normal
Ordered In Fields . . . . . . . . . . . 31--34
Edward H. Kerner Hamiltonian Formulation of
Action-at-a-Distance in Electrodynamics 35--42
P. A. Sturrock Field-Theory Analogs of the Lagrange and
Poincaré Invariants . . . . . . . . . . . 43--50
David G. Boulware Spin and Statistics with an
Electromagnetic Field . . . . . . . . . 50--58
Howard R. Reiss Absorption of Light by Light . . . . . . 59--67
M. E. Ebel Causality and the R Matrix . . . . . . . 68--69
Jack K. Hale and
Arnold P. Stokes Some Physical Solutions of Dirac-Type
Equations . . . . . . . . . . . . . . . 70--74
Roger G. Newton Construction of Potentials from the
Phase Shifts at Fixed Energy . . . . . . 75--82
Victor Twersky Multiple Scattering by Arbitrary
Configurations in Three Dimensions . . . 83--91
Akeley Miller and
Paul W. Schmidt Small Angle X-Ray Scattering from
Randomly Oriented Cylinders of Arbitrary
Cross Section . . . . . . . . . . . . . 92--96
K. G. Dedrick and
Robert N. Wilson Use of the Displacement Vector in
Electromagnetic Theory . . . . . . . . . 97--105
Morris E. Rose and
C. N. Yang Eigenvalues and Eigenvectors of a
Symmetric Matrix of 6 j Symbols . . . . 106--106
T. L. Gilbert Inverse Overlap Matrix for Periodic
Arrays of Atoms . . . . . . . . . . . . 107--117
E. Ambler and
J. C. Eisenstein and
J. F. Schooley Traces of Products of Angular Momentum
Matrices . . . . . . . . . . . . . . . . 118--130
M. Girardeau Variational Method for the Quantum
Statistics of Interacting Particles . . 131--139
Freeman J. Dyson Statistical Theory of the Energy Levels
of Complex Systems. I . . . . . . . . . 140--156
Freeman J. Dyson Statistical Theory of the Energy Levels
of Complex Systems. II . . . . . . . . . 157--165
Freeman J. Dyson Statistical Theory of the Energy Levels
of Complex Systems. III . . . . . . . . 166--175
G. S. Rushbrooke and
H. I. Scoins Cluster Sums for the Ising Model . . . . 176--184
G. S. Rushbrooke and
J. Eve High-Temperature Ising Partition
Function and Related Noncrossing
Polygons for the Simple Cubic Lattice 185--189
Denos C. Gazis and
Richard F. Wallis Surface Vibrational Modes in Crystal
Lattices with Complex Interatomic
Interactions . . . . . . . . . . . . . . 190--199
Herbert B. Rosenstock and
Richard E. McGill Vibrational Modes of Disordered Linear
Chains . . . . . . . . . . . . . . . . . 200--202
Lesser Blum Evolution of a Crystal in an Oscillating
Field . . . . . . . . . . . . . . . . . 203--204
Robert H. Kraichnan Erratum: ``Dynamics of Nonlinear
Stochastic Systems'' . . . . . . . . . . 205--205
David Finkelstein and
Josef M. Jauch and
Samuel Schiminovich and
David Speiser Foundations of Quaternion Quantum
Mechanics . . . . . . . . . . . . . . . 207--220
W. S. Brown Analyticity Properties of the
Momentum-Space Vertex Function . . . . . 221--235
James McKenna Analytic Regularization in Relativistic
Quantum Field Theory . . . . . . . . . . 236--247
R. Haag and
B. Schroer Postulates of Quantum Field Theory . . . 248--256
R. F. Streater Analytic Properties of Products of Field
Operators . . . . . . . . . . . . . . . 256--261
Tai Tsun Wu Some Properties of Impedance as a Causal
Operator . . . . . . . . . . . . . . . . 262--271
William M. Frank Convergence of Perturbation Expansions
in Cutoff Meson Theories . . . . . . . . 272--280
Francis R. Halpern Some Examples of Canonical
Transformations in Quantum Mechanics . . 281--286
Ralph Bartram and
Larry Spruch Bounds on Elements of the $S$ Matrix for
Elastic Scattering: One-Dimensional
Scattering . . . . . . . . . . . . . . . 287--296
Robert A. Mapleton Application of the Singular Wave
Function Operator in Scattering Theory.
II . . . . . . . . . . . . . . . . . . . 297--304
Dave Pandres Derivation of Admissibility Conditions
for Wave Functions from General
Quantum-Mechanical Principles . . . . . 305--308
John L. Lumley An Approach to the Eulerian--Lagrangian
Problem . . . . . . . . . . . . . . . . 309--312
Gerald Rosen Symmetries of the Einstein--Maxwell
Equations . . . . . . . . . . . . . . . 313--318
W. R. Johnson and
R. T. Deck Continuum Coulomb Wave Function . . . . 319--324
A. Galindo and
A. Morales and
R. Nuñez-Lagos Superselection Principle and Pure States
of $n$-Identical Particles . . . . . . . 324--328
G. M. Prosperi Ergodicity Conditions in Quantum
Mechanics and Van Hove's Hamiltonians 329--340
Phillip B. Abraham and
George Weiss On the Calculation of Analytic Functions
of Cyclic Matrices . . . . . . . . . . . 340--345
Adel da Silveira Unusual Eigenvalues of the Energy
Operator . . . . . . . . . . . . . . . . 346--349
S. Fujita and
R. Abe Theory of Transport Coefficients. I.
General Theory and Electrical
Conductivity of Electron--Phonon System 350--359
S. Fujita Theory of Transport Coefficients. II
Viscosity Coefficients of Quantum Gases
Obeying the Boltzmann Statistics . . . . 359--367
A. C. Pipkin and
R. S. Rivlin Non-Rectilinear Current Flow in a
Straight Conductor . . . . . . . . . . . 368--371
P. Parzen and
G. Nomicos Traveling-Wave Technique of Cyclotron
Radiation . . . . . . . . . . . . . . . 372--381
Jun-ichi Hori Long-Time Behavior of a Random Lattice 382--386
Ian C. Percival Addendum: ``Almost Periodicity and the
Quantal $H$ Theorem'' . . . . . . . . . 386--386
Howard R. Reiss A Convergent Perturbation Expansion in
First-Quantized Electrodynamics . . . . 387--395
John Judson Bowman and
Joseph David Harris Green's Distributions and the Cauchy
Problem for the Iterated Klein--Gordon
Operator . . . . . . . . . . . . . . . . 396--404
J. S. Lomont and
H. E. Moses Simple Realizations of the Infinitesimal
Generators of the Proper Orthochronous
Inhomogeneous Lorentz Group for Mass
Zero . . . . . . . . . . . . . . . . . . 405--408
M. E. Rose Properties of the Irreducible Angular
Momentum Tensors . . . . . . . . . . . . 409--413
Thomas F. Jordan The Quantum-Mechanical Scattering
Problem . . . . . . . . . . . . . . . . 414--428
Thomas F. Jordan The Quantum-Mechanical Scattering
Problem. II. Multi-Channel Scattering 429--439
P. J. Lynch and
B. C. Carlson Theory of High-Energy Potential
Scattering . . . . . . . . . . . . . . . 440--450
F. J. Murray Perturbation Theory and Lie Algebras . . 451--468
Norman W. Bazley and
David W. Fox A Procedure for Estimating Eigenvalues 469--471
Agnar Pytte A Note on Perturbation Theory in Nearly
Periodic Systems . . . . . . . . . . . . 472--474
Robert H. Kraichnan Stochastic Models for Many-Body Systems.
I. Infinite Systems in Thermal
Equilibrium . . . . . . . . . . . . . . 475--495
Robert H. Kraichnan Stochastic Models for Many-Body Systems.
II. Finite Systems and Statistical
Nonequilibrium . . . . . . . . . . . . . 496--521
B. Mühlschlegel Asymptotic Expansion of the
Bardeen--Cooper--Schrieffer Partition
Function by Means of the Functional
Method . . . . . . . . . . . . . . . . . 522--530
Leslie L. Foldy Antisymmetric Functions and Slater
Determinants . . . . . . . . . . . . . . 531--539
S. Yanagawa Excitation Spectrum of a Fermion System 540--548
H. L. Frisch Locally Maxwellian Solutions for a
``Positronium'' Plasma . . . . . . . . . 549--549
Kurt E. Shuler and
George H. Weiss and
Knud Andersen Studies in Nonequilibrium Rate
Processes. V. The Relaxation of Moments
Derived from a Master Equation . . . . . 550--556
B. R. Judd Double-Tensor Operators for
Configurations of Equivalent Electrons 557--563
Samuel P. Morgan Transient Response of a Dipole Antenna 564--565
Ezra Newman and
Roger Penrose An Approach to Gravitational Radiation
by a Method of Spin Coefficients . . . . 566--578
Werner Liniger The Solution of a Transition Problem in
a Superconducting Strip . . . . . . . . 578--586
C. Domb and
M. F. Sykes Erratum: ``Ising Model Susceptibility
[Use of Series Expansions for the Ising
Model Susceptibility and Excluded Volume
Problem]'' . . . . . . . . . . . . . . . 586--586
M. F. Sykes Erratum: ``Ising Model and Excluded
Volume Problem [Some Counting Theorems
in the Theory of the Ising Model and the
Excluded Volume Problem]'' . . . . . . . 586--586
Thomas F. Jordan and
E. C. G. Sudarshan Reduction of Operator Rings and the
Irreducibility Axiom in Quantum Field
Theory . . . . . . . . . . . . . . . . . 587--594
D. B. Fairlie and
P. V. Landshoff and
J. Nuttall and
J. C. Polkinghorne Singularities of the Second Type . . . . 594--602
Dave Pandres On Forces and Interactions between
Fields . . . . . . . . . . . . . . . . . 602--607
Ryoyu Utiyama and
Bryce S. DeWitt Renormalization of a Classical
Gravitational Field Interacting with
Quantized Matter Fields . . . . . . . . 608--618
Bryce S. DeWitt Definition of Commutators via the
Uncertainty Principle . . . . . . . . . 619--624
Bryce S. DeWitt Quantization of Fields with
Infinite-Dimensional Invariance Groups.
II. Anticommuting Fields . . . . . . . . 625--636
R. Arnowitt and
S. Deser The Spin-Statistics Theorem . . . . . . 637--649
Toichiro Kinoshita Mass Singularities of Feynman Amplitudes 650--677
George B. Parrent and
Robert A. Shore and
Thomas J. Skinner On the Mutual Coherence Function in an
Inhomogeneous Medium . . . . . . . . . . 678--684
Alex Grossmann and
Tai Tsun Wu Schrödinger Scattering Amplitude. III . . 684--689
K. Meetz Spectrum of the Scattering Integral
Operator in the Physical Energy Sheet 690--699
Victor Twersky On Scattering of Waves by Random
Distributions. I. Free-Space Scatterer
Formalism . . . . . . . . . . . . . . . 700--715
Victor Twersky On a General Class of Scattering
Problems . . . . . . . . . . . . . . . . 716--723
Victor Twersky On Scattering of Waves by Random
Distributions. II. Two-Space Scatterer
Formalism . . . . . . . . . . . . . . . 724--734
Felix T. Smith A Symmetric Representation for
Three-Body Problems. I. Motion in a
Plane . . . . . . . . . . . . . . . . . 735--748
Elliott Lieb and
Daniel Mattis Ordering Energy Levels of Interacting
Spin Systems . . . . . . . . . . . . . . 749--751
J. Gunson Proof of a Conjecture by Dyson in the
Statistical Theory of Energy Levels . . 752--753
William W. Mullins Proof that the Two-Dimensional Shape of
Minimum Surface Free Energy is Convex 754--759
E. Ambler and
J. C. Eisenstein and
J. F. Schooley Traces of Products of Angular Momentum
Matrices. II. Spherical Basis . . . . . 760--771
G. H. Weiss and
A. A. Maradudin The Baker--Hausdorff Formula and a
Problem in Crystal Physics . . . . . . . 771--777
S. F. Edwards and
A. Lenard Exact Statistical Mechanics of a
One-Dimensional System with Coulomb
Forces. II. The Method of Functional
Integration . . . . . . . . . . . . . . 778--792
Paul H. E. Meijer and
Tomoyasu Tanaka and
Jeremiah Barry Dynamic Behavior of a Set of Weakly
Coupled Ising Spins . . . . . . . . . . 793--797
Chen-Ping Yang Thermodynamic Functions of a Fermi
System of Dilute Hard Spheres at
Temperatures Near Absolute Zero . . . . 797--800
M. W. Muller and
S. Dawson Structure of a Bloch Wall . . . . . . . 800--805
Martin Kruskal Asymptotic Theory of Hamiltonian and
other Systems with all Solutions Nearly
Periodic . . . . . . . . . . . . . . . . 806--828
David G. Boulware Erratum: ``Spin and Statistics with an
Electromagnetic Field'' . . . . . . . . 829--829
S. S. Schweber On Feynman Quantization . . . . . . . . 831--842
Mendel Sachs and
Solomon L. Schwebel On Covariant Formulations of the
Maxwell--Lorentz Theory of
Electromagnetism . . . . . . . . . . . . 843--848
Thomas F. Jordan and
Mark A. Pinsky and
E. C. G. Sudarshan Dynamical Mappings of Density Operators
in Quantum Mechanics. II. Time Dependent
Mappings . . . . . . . . . . . . . . . . 848--852
A. C. Manoharan The Primitive Domains of Holomorphy for
the 4 and 5 Point Wightman Functions . . 853--859
O. W. Greenberg Heisenberg Fields which Vanish on
Domains of Momentum Space . . . . . . . 859--866
Roger G. Newton Nonrelativistic $S$-Matrix Poles for
Complex Angular Momenta . . . . . . . . 867--882
B. W. Roos and
W. C. Sangren Spectral Theory of Dirac's Radial
Relativistic Wave Equation . . . . . . . 882--890
Ezra T. Newman and
Theodore W. J. Unti Behavior of Asymptotically Flat Empty
Spaces . . . . . . . . . . . . . . . . . 891--901
Ezra T. Newman and
Louis A. Tamburino Empty Space Metrics Containing
Hypersurface Orthogonal Geodesic Rays 902--907
R. K. Sachs On the Characteristic Initial Value
Problem in Gravitational Theory . . . . 908--914
David Shale A Note on the Scattering of Boson Fields 915--921
Marcel Froissart Complex Angular Momenta in Potential
Scattering . . . . . . . . . . . . . . . 922--927
J. K. Percus and
A. Rotenberg Exact Eigenfunctions of Angular Momentum
by Rotational Projection . . . . . . . . 928--932
S. T. Kuroda On a Paper of Green and Lanford . . . . 933--935
M. Fowler Introduction to Momentum Space
Integration Techniques in Perturbation
Theory . . . . . . . . . . . . . . . . . 936--945
E. Leo Slaggie and
Eyvind H. Wichmann Asymptotic Properties of the Wave
Function for a Bound Nonrelativistic
Three-Body System . . . . . . . . . . . 946--968
Per-Olov Löwdin Studies in Perturbation Theory. IV.
Solution of Eigenvalue Problem by
Projection Operator Formalism . . . . . 969--982
Cyrano De Dominicis Variational Formulations of Equilibrium
Statistical Mechanics . . . . . . . . . 983--1002
Hugh E. DeWitt Analytic Properties of the Quantum
Corrections to the Second Virial
Coefficient . . . . . . . . . . . . . . 1003--1016
Robert J. Swenson Derivation of Generalized Master
Equations . . . . . . . . . . . . . . . 1017--1022
J. A. Morrison On the Number of Electron Levels in a
One-Dimensional Random Lattice . . . . . 1023--1027
Norman J. Zabusky Exact Solution for the Vibrations of a
Nonlinear Continuous Model String . . . 1028--1039
Kenneth G. Wilson Proof of a Conjecture by Dyson . . . . . 1040--1043
Phillip B. Abraham and
George H. Weiss Analytic Functions of Continuant
Matrices . . . . . . . . . . . . . . . . 1044--1049
Ludwig Grabner and
John A. Swanson Symmetry Restrictions on Field Dependent
Tensors with Application to
Galvanomagnetic Effects . . . . . . . . 1050--1054
Bruno Zumino Normal Forms of Complex Matrices . . . . 1055--1057
M. Girardeau Erratum: ``Variational Method for the
Quantum Statistics of Interacting
Particles'' . . . . . . . . . . . . . . 1058--1058
George Gioumousis and
C. F. Curtiss Molecular Collisions. IV. Nearly
Spherical Rigid Body Approximation . . . 1059--1072
Bryce S. DeWitt Quantization of Fields with
Infinite-Dimensional Invariance Groups.
III. Generalized Schwinger--Feynman
Theory . . . . . . . . . . . . . . . . . 1073--1093
I. Bialynicki-Birula On the Gauge Covariance of Quantum
Electrodynamics . . . . . . . . . . . . 1094--1098
Jamal N. Islam Modified Mandelstam Representation for
Heavy Particles . . . . . . . . . . . . 1098--1106
H. M. Fried Axiomatic Perturbation Theory for
Retarded Functions . . . . . . . . . . . 1107--1115
A. J. Macfarlane On the Restricted Lorentz Group and
Groups Homomorphically Related to It . . 1116--1129
Francis R. Halpern A Criterion for Singularities in
Perturbation Theory . . . . . . . . . . 1130--1134
Abraham Pais On Spinors in n Dimensions . . . . . . . 1135--1139
Noboru Nakanishi Integral Representations for Production
Amplitudes in Perturbation Theory . . . 1139--1146
Levente Szász Atomic Many-Body Problem. II. The Matrix
Components of the Hamiltonian with
Respect to Correlated Wave Functions . . 1147--1160
S. Tani and
D. A. Uhlenbrock Hard Core Produced by Orthogonality
Constraints . . . . . . . . . . . . . . 1161--1170
Per-Olov Löwdin Studies in Perturbation Theory. V. Some
Aspects on the Exact Self-Consistent
Field Theory . . . . . . . . . . . . . . 1171--1184
A. Galindo On a Functional Averaging Method in the
Classical Ensemble Theory . . . . . . . 1185--1190
Freeman J. Dyson A Brownian-Motion Model for the
Eigenvalues of a Random Matrix . . . . . 1191--1198
Freeman J. Dyson The Threefold Way. Algebraic Structure
of Symmetry Groups and Ensembles in
Quantum Mechanics . . . . . . . . . . . 1199--1215
Hugh E. DeWitt Evaluation of the Quantum-Mechanical
Ring Sum with Boltzmann Statistics . . . 1216--1228
Robert M. Lewis Quantum Statistics and the Boltzmann
Equation . . . . . . . . . . . . . . . . 1229--1246
S. Fujita Theory of Transport Coefficients. III.
Quantum Statistical Systems . . . . . . 1246--1250
Lloyd D. Fosdick Numerical Estimation of the Partition
Function in Quantum Statistics . . . . . 1251--1264
Tai Tsun Wu Dimers on Rectangular Lattices . . . . . 1265--1266
Richard J. Runge Approximate Solutions of the Modified
Bloch Equations for Low Magnetic Fields 1267--1277
J. Zak Selection Rules for Integrals of Bloch
Functions . . . . . . . . . . . . . . . 1278--1279
S. Pasternack and
R. M. Sternheimer An Orthogonality Property of
Hydrogenlike Radial Functions . . . . . 1280--1280
John Judson Bowman and
Joseph David Harris Green's Distributions and the Cauchy
Problem for the Multi-Mass Klein--Gordon
Operator . . . . . . . . . . . . . . . . 1281--1290
John Judson Bowman and
Joseph David Harris Green's Distributions Associated with
the Operator $[\Box^m - (-\mu^2)^m]^l$ 1291--1297
Tai Tsun Wu Input Admittance of Infinitely Long
Dipole Antennas Driven from Coaxial
Lines . . . . . . . . . . . . . . . . . 1298--1301
Tai Tsun Wu Theory of the Thin Circular Loop Antenna 1301--1304
Pradip M. Bakshi and
Kalyana T. Mahanthappa Expectation Value Formalism in Quantum
Field Theory. I . . . . . . . . . . . . 1--11
Pradip M. Bakshi and
Kalyana T. Mahanthappa Expectation Value Formalism in Quantum
Field Theory. II . . . . . . . . . . . . 12--16
J. Sucher Relativistic Invariance and the
Square-Root Klein--Gordon Equation . . . 17--23
Iwao Sato Normalization Condition for the
Bethe--Salpeter Wavefunction and a
Formal Solution to the Bethe--Salpeter
Equation . . . . . . . . . . . . . . . . 24--35
Donald G. Babbitt A Summation Procedure for Certain
Feynman Integrals . . . . . . . . . . . 36--41
Edward M. Corson A Unified Variational Formulation of
Classical and Quantum Dynamics. I . . . 42--44
A. Das Complex Scalar Field in General
Relativity . . . . . . . . . . . . . . . 45--51
C. N. Yang Mathematical Deductions from Some Rules
Concerning High-Energy Total Cross
Sections . . . . . . . . . . . . . . . . 52--53
Bertram R. Levy and
Joseph B. Keller Low-Energy Expansion of Scattering Phase
Shifts for Long-Range Potentials . . . . 54--64
C. Yeh The Diffraction of Waves By a Penetrable
Ribbon . . . . . . . . . . . . . . . . . 65--71
L. D. Faddeyev and
B. Seckler The Inverse Problem in the Quantum
Theory of Scattering . . . . . . . . . . 72--104
Robert Englman and
Peretz Levi The Line Shape in a Harmonic Lattice . . 105--115
J. L. Lebowitz and
J. K. Percus Statistical Thermodynamics of Nonuniform
Fluids . . . . . . . . . . . . . . . . . 116--123
Michael E. Fisher Perpendicular Susceptibility of the
Ising Model . . . . . . . . . . . . . . 124--135
D. Finkelstein and
J. M. Jauch and
D. Speiser Quaternionic Representations of Compact
Groups . . . . . . . . . . . . . . . . . 136--140
Farouk Odeh Uniqueness and Existence of the Solution
to the Static London--Maxwell Equations
in Two Dimensions . . . . . . . . . . . 141--146
S. R. De Groot On the Development of Nonequilibrium
Thermodynamics . . . . . . . . . . . . . 147--153
J. Meixner Thermodynamics of Electrical Networks
and the Onsager--Casimir Reciprocal
Relations . . . . . . . . . . . . . . . 154--159
E. Helfand and
R. J. Bearman and
V. S. Vaidhyanathan Theory of the Soret Effect in
Electrolytic Solutions . . . . . . . . . 160--165
P. Résibois Structure of the Three-Particle
Scattering Operator in Classical Gases 166--173
Ryogo Kubo Stochastic Liouville Equations . . . . . 174--183
E. G. D. Cohen On the Kinetic Theory of Dense Gases . . 183--189
N. G. Van Kampen Thermal Fluctuations in Nonlinear
Systems . . . . . . . . . . . . . . . . 190--194
Eugene P. Gross Hydrodynamics of a Superfluid Condensate 195--207
Paul C. Martin A Microscopic Approach to Superfluidity
and Superconductivity . . . . . . . . . 208--215
M. Kac and
G. E. Uhlenbeck and
P. C. Hemmer On the van der Waals Theory of the
Vapor--Liquid Equilibrium. I. Discussion
of a One-Dimensional Model . . . . . . . 216--228
G. E. Uhlenbeck and
P. C. Hemmer and
M. Kac On the van der Waals Theory of the
Vapor-Liquid Equilibrium. II. Discussion
of the Distribution Functions . . . . . 229--247
J. L. Lebowitz and
J. K. Percus Asymptotic Behavior of the Radial
Distribution Function . . . . . . . . . 248--254
C. De Dominicis Variational Statistical Mechanics in
Terms of ``Observables'' for Normal and
Superfluid Systems . . . . . . . . . . . 255--265
E. Verboven The Master Equation with Special
Transition Probabilities . . . . . . . . 266--270
P. Mazur and
J. Van Der Linden Asymptotic Form of the Structure
Function for Real Systems . . . . . . . 271--277
Michael E. Fisher Lattice Statistics --- a Review and an
Exact Isotherm for a Plane Lattice Gas 278--286
P. W. Kasteleyn Dimer Statistics and Phase Transitions 287--293
Roy J. Glauber Time-Dependent Statistics of the Ising
Model . . . . . . . . . . . . . . . . . 294--307
Elliott W. Montroll and
Renfrey B. Potts and
John C. Ward Correlations and Spontaneous
Magnetization of the Two-Dimensional
Ising Model . . . . . . . . . . . . . . 308--322
Kurt Haller Scattering, Weak Decays, and Final-State
Interactions in Model Theories in a
Dressed-Particle Picture . . . . . . . . 323--331
Asher Peres Mechanical Model for Quantum Field
Theory . . . . . . . . . . . . . . . . . 332--333
D. D. Betts and
H. Schiff and
W. B. Strickfaden Approximate Solution of a Nonlinear
Field Equation . . . . . . . . . . . . . 334--338
Peter D. Robinson and
Joseph O. Hirschfelder Generalized Momentum Operators in
Quantum Mechanics . . . . . . . . . . . 338--347
Peter D. Robinson On the Nonorthogonality of Generalized
Momentum Eigenfunctions in Quantum
Mechanics . . . . . . . . . . . . . . . 348--353
B. G. Wybourne Electrostatic Interactions in Complex
Electron Configurations . . . . . . . . 354--356
J. H. Hetherington Partial Wave Analysis of the Scattering
of Charged Spinless Particles . . . . . 357--358
J. Challifour and
R. J. Eden Regge Poles and Branch Cuts for
Potential Scattering . . . . . . . . . . 359--371
Johan G. Belinfante and
Burhan C. Unal Potential Scattering . . . . . . . . . . 372--387
Roger F. Dashen New Approach to Low-Energy Potential
Scattering . . . . . . . . . . . . . . . 388--391
Bernard Rosen Relativistic Coulomb Scattering . . . . 392--404
Newton I. Greenberg Binary Kernel Formulation of a
Heisenberg Model of Ferromagnetism . . . 405--409
Edward A. Frieman On a New Method in the Theory of
Irreversible Processes . . . . . . . . . 410--418
C. N. Yang Some Properties of the Reduced Density
Matrix . . . . . . . . . . . . . . . . . 418--419
J. S. Lomont and
H. E. Moses and
Kwang Yu Equivalence and Antiequivalence of
Irreducible Sets of Operators. I. Finite
Dimensional Spaces . . . . . . . . . . . 420--423
Lincoln E. Bragg and
Bernard D. Coleman On Strain Energy Functions for Isotropic
Elastic Materials . . . . . . . . . . . 424--426
Francesco Calogero Note on the Riccati Equation . . . . . . 427--430
George T. Trammell Symmetry Functions of the Cube . . . . . 431--436
L. C. Biedenharn On the Representations of the Semisimple
Lie Groups. I. The Explicit Construction
of Invariants for the Unimodular Unitary
Group in $N$ Dimensions . . . . . . . . 436--445
Martin A. Leibowitz Moments of the Neutron Time-Energy
Distribution and the Use of Random
Functionals . . . . . . . . . . . . . . 446--450
H. M. Fried Axiomatic Perturbation Theory. II.
Partial Sum Formalism . . . . . . . . . 451--464
V. Amar and
M. Lucchini and
P. G. Sona Group Properties of Free-Field Equations 465--468
Gérard Emch and
Constantin Piron Symmetry in Quantum Theory . . . . . . . 469--473
Joseph B. Aviles $N$-Body Bose System with a Finite
Number of States. I. Irreducible
Representations . . . . . . . . . . . . 473--483
I. Robinson and
A. Schild Generalization of a Theorem by Goldberg
and Sachs . . . . . . . . . . . . . . . 484--489
Alan J. Macfarlane Kinematics of the Relativistic
Two-Particle System . . . . . . . . . . 490--500
H. Goldberg and
Y. Lehrer-Ilamed Derivation of the Gell-Mann--Okubo Mass
Formula . . . . . . . . . . . . . . . . 501--502
J. C. Polkinghorne High-Energy Behavior in Perturbation
Theory . . . . . . . . . . . . . . . . . 503--506
K. L. Kowalski and
D. Feldman Transition Matrix for Nucleon-Nucleon
Scattering. II . . . . . . . . . . . . . 507--518
Edward M. Corson Unified Variational Formulation of
Classical and Quantum Dynamics. II . . . 519--521
Koichi Mano Eigenfunction Form of the
Nonrelativistic Coulomb Green's Function 522--529
W. E. Parry and
R. E. Turner Some Analytic Properties of Green
Functions and Self-Energy Parts for a
System of Interacting Bosons . . . . . . 530--533
Andrew Lenard Exact Statistical Mechanics of a
One-Dimensional System with Coulomb
Forces. III. Statistics of the Electric
Field . . . . . . . . . . . . . . . . . 533--543
Robert J. Swenson Generalized Master Equation and
$t$-Matrix Expansion . . . . . . . . . . 544--551
E. Atlee Jackson Nonlinear Coupled Oscillators. I.
Perturbation Theory; Ergodic Problem . . 551--558
T. K. Fowler Lyapunov's Stability Criteria for
Plasmas . . . . . . . . . . . . . . . . 559--569
Jan Tarski Partition Function for Certain Simple
Lie Algebras . . . . . . . . . . . . . . 569--574
James Wei and
Edward Norman Lie Algebraic Solution of Linear
Differential Equations . . . . . . . . . 575--581
Rosemary A. Coldwell-Horsfall and
Alexei A. Maradudin Erratum: ``Zero-Point Energy of an
Electron Lattice'' . . . . . . . . . . . 582--582
O. Steinmann Structure of the Two-Point Function . . 583--588
David R. Speiser and
Jan Tarski Possible Schemes for Global Symmetry . . 588--612
O. W. Greenberg and
A. L. Licht Quantum Field-Theory Model whose
Truncated Vacuum Expectation Values
Vanished beyond Some Order . . . . . . . 613--614
R. Arnowitt and
S. Deser Note on Uniqueness of Canonical
Commutation Relations . . . . . . . . . 615--617
N. H. Fuchs High-Energy Behavior of a Certain Class
of Scattering Amplitudes in Perturbation
Theory . . . . . . . . . . . . . . . . . 617--621
R. C. Whitten Three-Particle Scattering. I. Planar
Case . . . . . . . . . . . . . . . . . . 622--633
Donald R. Fredkin Asymptotic Form of the Proper
Self-Energy Function in Many-Particle
Systems . . . . . . . . . . . . . . . . 634--636
H. Araki and
E. J. Woods Representations of the Canonical
Commutation Relations Describing a
Nonrelativistic Infinite Free Bose Gas 637--662
G. H. Derrick Representation of Annihilation Operators
in the Space of Periodic Functions . . . 663--666
T. D. Schultz Note on the One-Dimensional Gas of
Impenetrable Point-Particle Bosons . . . 666--671
Elliott Lieb New Method in the Theory of Imperfect
Gases and Liquids . . . . . . . . . . . 671--678
B. W. Ninham Asymptotic Form of the Coefficients of
Some Ising-Model Series . . . . . . . . 679--685
E. Atlee Jackson Nonlinear Coupled Oscillators. II.
Comparison of Theory with Computer
Solutions . . . . . . . . . . . . . . . 686--700
Freeman J. Dyson and
Madan Lal Mehta Statistical Theory of the Energy Levels
of Complex Systems. IV . . . . . . . . . 701--712
Madan Lal Mehta and
Freeman J. Dyson Statistical Theory of the Energy Levels
of Complex Systems. V . . . . . . . . . 713--719
Jean Ginibre Wigner--Eckart Theorem and Simple Lie
Groups . . . . . . . . . . . . . . . . . 720--726
H. M. Fried and
J. G. Taylor Propagator Ghosts and Regge Poles . . . 727--730
Heinz R. Pagels Divergence Conditions and the
Gravitational Field Equations . . . . . 731--734
F. K. Manasse and
C. W. Misner Fermi Normal Coordinates and Some Basic
Concepts in Differential Geometry . . . 735--745
F. K. Manasse Distortion in the Metric of a Small
Center of Gravitational Attraction due
to its Proximity to a Very Large Mass 746--761
Kêitsiro Aizu Parameter Differentiation of
Quantum-Mechanical Linear Operators . . 762--775
Jean-Marc Levy-Leblond Galilei Group and Nonrelativistic
Quantum Mechanics . . . . . . . . . . . 776--788
D. Finkelstein and
J. M. Jauch and
S. Schiminovich and
D. Speiser Principle of General Q Covariance . . . 788--796
A. Syed Reduction of $S$-Matrix Elements . . . . 797--808
Fumiaki Iwamoto Theorem on Energy Shifts Due to a
Potential in a Large Box . . . . . . . . 809--811
Amiram Ron Generalized Dielectric Function for
Classical Many-Body Systems . . . . . . 811--823
Leonard S. Taylor Lorentz--Lorenz and Sellmeier Formulas
in Irregular Gases . . . . . . . . . . . 824--828
Joseph B. Keller and
S. I. Rubinow and
Max Goldstein Zeros of Hankel Functions and Poles of
Scattering Amplitudes . . . . . . . . . 829--832
W. R. Smythe Charged Spheroid in Cylinder . . . . . . 833--837
Hyman Serbin Quadratic Invariants of Surface
Deformations and the Strain Energy of
Thin Elastic Shells . . . . . . . . . . 838--851
M. A. Leibowitz Statistical Behavior of Linear Systems
with Randomly Varying Parameters . . . . 852--858
C. Fronsdal and
R. E. Norton and
K. T. Mahanthappa More Integral Representations for
Scattering Amplitudes with Complex
Singularities . . . . . . . . . . . . . 859--871
Jamal N. Islam Acnodes and Cusps and the Mandelstam
Representation . . . . . . . . . . . . . 872--878
Francis R. Halpern Singularities of the Four-Point Function
in Perturbation Theory with Variable
Masses . . . . . . . . . . . . . . . . . 879--884
Eyvind H. Wichmann Density Matrices Arising from Incomplete
Measurements . . . . . . . . . . . . . . 884--896
Kenneth D. Granzow $N$-Dimensional Total Orbital
Angular-Momentum Operator . . . . . . . 897--900
P. A. M. Dirac A Remarkable Representation of the $3 +
2$ de Sitter Group . . . . . . . . . . . 901--909
D. C. Peaslee Particle Charge Symmetries as $R_8$
Subgroups . . . . . . . . . . . . . . . 910--914
E. Newman and
L. Tamburino and
T. Unti Empty-Space Generalization of the
Schwarzschild Metric . . . . . . . . . . 915--923
Charles W. Misner The Flatter Regions of Newman, Unti, and
Tamburino's Generalized Schwarzschild
Space . . . . . . . . . . . . . . . . . 924--937
Richard W. Lindquist Initial-Value Problem on Einstein--Rosen
Manifolds . . . . . . . . . . . . . . . 938--950
C. Lanczos Undulatory Riemannian Spaces . . . . . . 951--959
Harry Kesten On the Number of Self-Avoiding Walks . . 960--969
Tatuya Sasakawa New Method for Solving Eigenvalue
Problems . . . . . . . . . . . . . . . . 970--992
Kenneth J. Harker Solution of the Cauchy Problem for
Laplace's Equation in Axially Symmetric
Systems . . . . . . . . . . . . . . . . 993--997
E. Newman and
R. Penrose Errata: ``An Approach to Gravitational
Radiation by a Method of Spin
Coefficients'' . . . . . . . . . . . . . 998--998
G. S. Rushbrooke and
H. I. Scoins Errata: ``Cluster Sums for the Ising
Model'' . . . . . . . . . . . . . . . . 998--998
B. W. Roos and
W. C. Sangren Expansions Associated with a Pair of
Singular First-Order Differential
Equations . . . . . . . . . . . . . . . 999--1008
R. Balescu Kinetic Equation for an Unstable Plasma 1009--1019
Antonio Pagnamenta Regularity of the $T$ Matrix in the Case
of Dirac Potential Scattering . . . . . 1020--1028
E. C. G. Sudarshan The Nature of the Axioms of Relativistic
Quantum Field Theory. II . . . . . . . . 1029--1036
Philip R. Karr Generalized ``Cross-Correlation'' Field
Quantities as Solutions of Field
Equations . . . . . . . . . . . . . . . 1037--1039
C. E. Porter Random Matrix Diagonalization-Some
Numerical Computations . . . . . . . . . 1039--1042
Hong-Mo Chan Real Unitary Representation of the
Many-Channel $S$ Matrix for Complex $l$
and $E$ . . . . . . . . . . . . . . . . 1042--1047
Reese T. Prosser Relativistic Potential Scattering . . . 1048--1054
John R. Klauder Continuous-Representation Theory. I.
Postulates of Continuous-Representation
Theory . . . . . . . . . . . . . . . . . 1055--1058
John R. Klauder Continuous-Representation Theory. II.
Generalized Relation between Quantum and
Classical Dynamics . . . . . . . . . . . 1058--1073
Lincoln E. Bragg and
Bernard D. Coleman A Thermodynamical Limitation on
Compressibility . . . . . . . . . . . . 1074--1077
M. Kac and
E. Helfand Study of Several Lattice Systems with
Long-Range Forces . . . . . . . . . . . 1078--1088
T. F. Jordan and
N. Mukunda and
S. V. Pepper Irreducible Representations of
Generalized Oscillator Operators . . . . 1089--1095
M. Girardeau Formulation of the Many-Body Problem for
Composite Particles . . . . . . . . . . 1096--1115
Philip B. Abraham and
George H. Weiss Evaluation of Certain Sums Arising in
Chemical Physics . . . . . . . . . . . . 1115--1118
S. Teitler Asymptotic Wave Vector and
Nonrelativistic Perturbation Theory . . 1119--1127
Marcos Moshinsky Bases for the Irreducible
Representations of the Unitary Groups
and Some Applications . . . . . . . . . 1128--1139
Fukashi Sasaki and
Kimio Ohno Spin-Component Analysis of
Single-Determinant Wavefunctions . . . . 1140--1147
Norman W. Bazley and
David W. Fox Lower Bounds for Energy Levels of
Molecular Systems . . . . . . . . . . . 1147--1153
J. M. Luttinger An Exactly Soluble Model of a
Many-Fermion System . . . . . . . . . . 1154--1162
Werner Israel Relativistic Kinetic Theory of a Simple
Gas . . . . . . . . . . . . . . . . . . 1163--1181
Amiram Ron Kinetic Equations for Electrons and
Phonons . . . . . . . . . . . . . . . . 1182--1190
George H. Vineyard The Number of Distinct Sites Visited in
a Random Walk on a Lattice . . . . . . . 1191--1193
A. W. K. Metzner Observable Properties of Large
Relativistic Masses . . . . . . . . . . 1194--1205
Mohammed Azizul Islam Mathematical Analysis on the Effect of a
Prolate Spheroidal Core in a Magnetic
Dipole Field . . . . . . . . . . . . . . 1206--1212
S. Sherman Addendum: ``Combinatorial Aspects of the
Ising Model for Ferromagnetism. I. A
Conjecture of Feynman on Paths and
Graphs'' . . . . . . . . . . . . . . . . 1213--1214
A. Chakrabarti Canonical Form of the Covariant
Free-Particle Equations . . . . . . . . 1215--1222
A. Chakrabarti Relativistic Position Operator for Free
Particles . . . . . . . . . . . . . . . 1223--1228
Noboru Nakanishi Invariant Solutions of the Exact
Bethe--Salpeter Equation in the
General-Mass Case . . . . . . . . . . . 1229--1235
Noboru Nakanishi Remarks on the Double Dispersion
Approach to the Bethe--Salpeter Equation 1235--1240
Yukio Tomozawa Local Commutativity and the Analytic
Continuation of the Wightman Function 1240--1252
D. Bessis and
F. Pham Complex Singularities in Production
Amplitudes . . . . . . . . . . . . . . . 1253--1257
S. Tani Regge Poles in High-Energy Potential
Scattering . . . . . . . . . . . . . . . 1258--1262
R. K. Nesbet Computation of Matrix Elements of
Integrable Nuclear Two-Particle
Interaction Operators . . . . . . . . . 1262--1271
T. J. Krieger and
C. E. Porter Reduced Width Amplitude Distributions
and Random Sign Rules in $R$-Matrix
Theory . . . . . . . . . . . . . . . . . 1272--1279
Nazakat Ullah Reduced Width Amplitude Distributions
for the Unitary Ensemble . . . . . . . . 1279--1282
Abraham Klein Invariant Operators of the Unitary
Unimodular Group in n Dimensions . . . . 1283--1284
Roman J. Bednarz and
Janusz R. Mika Energy-Dependent Boltzmann Equation in
Plane Geometry . . . . . . . . . . . . . 1285--1292
Joseph Ford and
John Waters Computer Studies of Energy Sharing and
Ergodicity for Nonlinear Oscillator
Systems . . . . . . . . . . . . . . . . 1293--1306
John O. Dimmock Representation Theory for Nonunitary
Groups . . . . . . . . . . . . . . . . . 1307--1311
Oliver Penrose Convergence of Fugacity Expansions for
Fluids and Lattice Gases . . . . . . . . 1312--1320
P. N. Burgoyne Remarks on the Combinatorial Approach to
the Ising Problem . . . . . . . . . . . 1320--1326
Gerald Rosen Approximate Evaluation of Feynman
Functional Integrals . . . . . . . . . . 1327--1333
W. S. Rothwell New Small-Angle X-Ray Scattering
Calculation . . . . . . . . . . . . . . 1334--1336
James Wei Note on the Global Validity of the
Baker--Hausdorff and Magnus Theorems . . 1337--1341
Roger G. Newton Errata: ``Nonrelativistic $S$-Matrix
Poles for Complex Angular Momenta'' . . 1342--1342
Huzihiro Araki A Lattice of Von Neumann Algebras
Associated with the Quantum Theory of a
Free Bose Field . . . . . . . . . . . . 1343--1362
Paul H. Moravek and
David W. Joseph Method for Construction of Unitary
Operators in Quantum Field Theory . . . 1363--1366
Hans C. Andersen and
Irwin Oppenheim Modified Langevin Equation for the
Description of Brownian Motion . . . . . 1367--1372
Ll. G. Chambers Comparison of Two Generalizations of
Maxwell's Equations Involving Creation
of Charge . . . . . . . . . . . . . . . 1373--1375
K. M. Case and
P. F. Zweifel Existence and Uniqueness Theorems for
the Neutron Transport Equation . . . . . 1376--1385
Noboru Nakanishi Fundamental Properties of
Perturbation-Theoretical Integral
Representations. II . . . . . . . . . . 1385--1392
J. C. Polkinghorne Singularities of Regge Trajectories and
Asymptotes to Landau Curves . . . . . . 1393--1395
J. C. Polkinghorne High-Energy Behavior in Perturbation
Theory. II . . . . . . . . . . . . . . . 1396--1400
A. O. Barut and
J. Dilley Behavior of the Scattering Amplitude for
Large Angular Momentum . . . . . . . . . 1401--1408
L. Sartori Asymptotic Behavior of Schrödinger
Scattering Amplitudes . . . . . . . . . 1408--1414
C. Dullemond Coupled Schrödinger Equations and
Statistical Boundary Conditions . . . . 1415--1432
T. W. B. Kibble Canonical Variables for the Interacting
Gravitational and Dirac Fields . . . . . 1433--1437
F. Y. Wu Cluster Development in an $N$-Body
Problem . . . . . . . . . . . . . . . . 1438--1443
A. L. Licht Strict Localization . . . . . . . . . . 1443--1447
G. E. Baird and
L. C. Biedenharn On the Representations of the Semisimple
Lie Groups. II . . . . . . . . . . . . . 1449--1466
Ezra T. Newman and
T. W. J. Unti A Class of Null Flat-Space Coordinate
Systems . . . . . . . . . . . . . . . . 1467--1469
Douglas G. Currie Interaction contra Classical
Relativistic Hamiltonian Particle
Mechanics . . . . . . . . . . . . . . . 1470--1488
Oliver Penrose The Remainder in Mayer's Fugacity Series 1488--1494
J. L. Lebowitz and
J. K. Percus Integral Equations and Inequalities in
the Theory of Fluids . . . . . . . . . . 1495--1506
J. S. R. Chisholm Solution of Linear Integral Equations
Using Padé Approximants . . . . . . . . . 1506--1510
Richard V. Kadison Remarks on the Type of Von Neumann
Algebras of Local Observables in Quantum
Field Theory . . . . . . . . . . . . . . 1511--1516
Victor A. Erma Perturbation Approach to the
Electrostatic Problem for Irregularly
Shaped Conductors . . . . . . . . . . . 1517--1526
James A. McLennan and
Robert J. Swenson Theory of Transport Coefficients in
Low-Density Gases . . . . . . . . . . . 1527--1536
Henry Brysk Determinantal Solution of the Fredholm
Equation with Green's Function Kernel 1536--1538
Noboru Nakanishi External-Mass Singularity . . . . . . . 1539--1541
Huzihiro Araki Von Neumann Algebras of Local
Observables for Free Scalar Field . . . 1--13
Cyrano De Dominicis and
Paul C. Martin Stationary Entropy Principle and
Renormalization in Normal and Superfluid
Systems. I. Algebraic Formulation . . . 14--30
Cyrano De Dominicis and
Paul C. Martin Stationary Entropy Principle and
Renormalization in Normal and Superfluid
Systems. II. Diagrammatic Formulation 31--59
P. C. Hemmer and
M. Kac and
G. E. Uhlenbeck On the van der Waals Theory of the
Vapor--Liquid Equilibrium. III.
Discussion of the Critical Region . . . 60--74
P. C. Hemmer On the van der Waals Theory of the
Vapor-Liquid Equilibrium. IV. The Pair
Correlation Function and Equation of
State for Long-Range Forces . . . . . . 75--84
Robert L. Peterson and
Paul M. Quay Generalized Master Equations for the
Density Matrix . . . . . . . . . . . . . 85--89
C. A. Hurst Applicability of the Pfaffian Method to
Combinatorial Problems on a Lattice . . 90--100
C. Fronsdal and
R. E. Norton Integral Representations for Vertex
Functions . . . . . . . . . . . . . . . 100--108
H. Bacry Position and Polarization Operators in
Relativistic and Nonrelativistic
Mechanics . . . . . . . . . . . . . . . 109--111
A. H. Taub Motion of Test Bodies in General
Relativity . . . . . . . . . . . . . . . 112--119
A. J. Dragt and
R. Karplus Poles in Coupled Scattering Amplitudes 120--126
Eugene Helfand Approach to a Phase Transition in a
One-Dimensional System . . . . . . . . . 127--132
William D. Schulz Tensor Artificial Viscosity for
Numerical Hydrodynamics . . . . . . . . 133--138
R. A. Struble and
T. C. Harris Motion of a Relativistic Damped
Oscillator . . . . . . . . . . . . . . . 138--141
Toshio Soda Excitation Spectrum of an Impurity in
the Hard-Sphere Bose Gas . . . . . . . . 142--146
Walter R. Sooy Approximate Calculations of Scattering
Phase Shifts . . . . . . . . . . . . . . 147--154
Hans Joos Group-Theoretical Models of Local-Field
Theories . . . . . . . . . . . . . . . . 155--164
Benoit Mandelbrot On the Derivation of Statistical
Thermodynamics from Purely
Phenomenological Principles . . . . . . 164--171
J. N. Goldberg and
R. P. Kerr Asymptotic Properties of the
Electromagnetic Field . . . . . . . . . 172--176
John R. Klauder Continuous-Representation Theory. III.
On Functional Quantization of Classical
Systems . . . . . . . . . . . . . . . . 177--187
Marian Günther Separation of Angular Variables in the
Bethe--Salpeter Equation for Two
Spin-$1/2$ Particles . . . . . . . . . . 188--192
James D. Bjorken Regge Behavior of Forward Elastic
Scattering Amplitudes . . . . . . . . . 192--198
Burt Jules Morse Diffraction by Polygonal Cylinders . . . 199--214
Burt V. Bronk Accuracy of the Semicircle Approximation
for the Density of Eigenvalues of Random
Matrices . . . . . . . . . . . . . . . . 215--220
D. E. McCumber Theory of Vibrational Structure in
Optical Spectra of Impurities in Solids.
I. Singlets . . . . . . . . . . . . . . 221--230
Martin D. Kruskal and
Norman J. Zabusky Stroboscopic-Perturbation Procedure for
Treating a Class of Nonlinear Wave
Equations . . . . . . . . . . . . . . . 231--244
R. A. Sack Generalization of Laplace's Expansion to
Arbitrary Powers and Functions of the
Distance between Two Points . . . . . . 245--251
R. A. Sack Three-Dimensional Addition Theorem for
Arbitrary Functions Involving Expansions
in Spherical Harmonics . . . . . . . . . 252--259
R. A. Sack Two-Center Expansion for the Powers of
the Distance Between Two Points . . . . 260--268
I. E. Segal Explicit Formal Construction of
Nonlinear Quantum Fields . . . . . . . . 269--282
Ying-Nan Chiu Irreducible Tensor Expansion of Solid
Spherical Harmonic-Type Operators in
Quantum Mechanics . . . . . . . . . . . 283--288
S. P. Rosen Some Properties of Triangular
Representations of ${\rm SU}(3)$ . . . . 289--293
J. S. Lomont and
H. E. Moses The Representations of the Inhomogeneous
Lorentz Group in Terms of an Angular
Momentum Basis . . . . . . . . . . . . . 294--298
John T. Cannon and
Thomas F. Jordan A No-Interaction Theorem in Classical
Relativistic Hamiltonian Particle
Dynamics . . . . . . . . . . . . . . . . 299--307
R. M. Bevensee Quantum Electrodynamics of the
Stimulated Emission of Radiation. I . . 308--324
F. Rohrlich Functional Differential Calculus of
Operators . . . . . . . . . . . . . . . 324--331
Edward Nelson Feynman Integrals and the Schrödinger
Equation . . . . . . . . . . . . . . . . 332--343
C. Yeh An Application of Sommerfeld's
Complex-Order Wavefunctions to an
Antenna Problem . . . . . . . . . . . . 344--350
John W. Durso and
Peter Signell Regge Poles and Potentials with Cores 350--354
L. M. Garrido Generalized Adiabatic Invariance . . . . 355--362
William M. Frank Convergence of Yukawa Theories with a
Finite Number of Interacting Boson Modes 363--372
Peter Havas The Connection between Conservation Laws
and Laws of Motion in Affine Spaces . . 373--378
Tatuya Sasakawa Determinantal Method in Perturbation
Theory . . . . . . . . . . . . . . . . . 379--382
Robert S. Northcote and
Renfrey B. Potts Energy Sharing and Equilibrium for
Nonlinear Systems . . . . . . . . . . . 383--398
A. Leonard and
T. W. Mullikin Spectral Analysis of the Anisotropic
Neutron Transport Kernel in Slab
Geometry with Applications . . . . . . . 399--411
J. T. Reynolds and
D. S. Onley and
L. C. Biedenharn Some Exact Radial Integrals for
Dirac--Coulomb Functions . . . . . . . . 411--419
Per O. M. Olsson Integration of the Partial Differential
Equations for the Hypergeometric
Functions $F_1$ and $F_D$ of Two and
More Variables . . . . . . . . . . . . . 420--430
J. C. Polkinghorne The Complete High-Energy Behavior of
Ladder Diagrams in Perturbation Theory 431--434
D. E. Bilhorn and
L. L. Foldy and
R. M. Thaler and
W. Tobocman and
V. A. Madsen Remarks Concerning Reciprocity in
Quantum Mechanics . . . . . . . . . . . 435--441
Eduard Prugovecki Multiplicative Symmetries in Axiomatic
Quantum Field Theory . . . . . . . . . . 442--455
R. Fong and
J. Sucher Relativistic Particle Dynamics and the
$S$ Matrix . . . . . . . . . . . . . . . 456--470
Ko Aizu and
Gianfausto Dell'Antonio and
Arnold J. F. Siegert Field Operators for Bosons with
Impenetrable Cores. II. Equations of
Motion and General Operator Formalism 471--489
E. C. Zeeman Causality Implies the Lorentz Group . . 490--493
John Gabriel New Methods for Reduction of Group
Representations Using an Extension of
Schur's Lemma . . . . . . . . . . . . . 494--504
Koichi Mano Representations for the Nonrelativistic
Coulomb Green's Function . . . . . . . . 505--508
D. E. McCumber Theory of Vibrational Structure in
Optical Spectra of Impurities in Solids.
II. Multiplets . . . . . . . . . . . . . 508--521
H. C. Andersen and
I. Oppenheim and
Kurt E. Shuler and
George H. Weiss Exact Conditions for the Preservation of
a Canonical Distribution in Markovian
Relaxation Processes . . . . . . . . . . 522--536
Frank C. Karal and
Joseph B. Keller Elastic, Electromagnetic, and Other
Waves in a Random Medium . . . . . . . . 537--547
Joseph B. Keller A Theorem on the Conductivity of a
Composite Medium . . . . . . . . . . . . 548--549
Mohammed Azizul Islam Scattering of Electromagnetic Waves by a
Composite Cylinder . . . . . . . . . . . 550--557
Saul Silven Application of Operational Methods to
the Analysis of Uniform Plasmas . . . . 557--560
C. F. Curtiss Expansions of Integrals of Bessel
Functions of Large Order . . . . . . . . 561--564
D. Lurié and
A. J. Macfarlane Matrix Elements of the Octet Operator of
${\rm SU}_3$ . . . . . . . . . . . . . . 565--575
A. J. Macfarlane and
N. Mukunda and
E. C. G. Sudarshan Generalized Shmushkevich Method: Proof
of Basic Results . . . . . . . . . . . . 576--580
R. F. Streater Intensive Observables in Quantum Theory 581--590
Levere Hostler Coulomb Green's Functions and the Furry
Approximation . . . . . . . . . . . . . 591--611
Peter D. Lax Development of Singularities of
Solutions of Nonlinear Hyperbolic
Partial Differential Equations . . . . . 611--613
A. P. Balachandran Boundary Conditions for a Partial-Wave
Amplitude . . . . . . . . . . . . . . . 614--621
J. B. McGuire Study of Exactly Soluble One-Dimensional
$N$-Body Problems . . . . . . . . . . . 622--636
K. W. Wong Application of Nonlocal Field Operators
to a System of Hard-Sphere Bose Gas . . 637--642
M. S. Wertheim Analytic Solution of the Percus--Yevick
Equation . . . . . . . . . . . . . . . . 643--651
Gerald L. Jones The Influence of Initial Correlations on
the Approach to Equilibrium . . . . . . 651--658
E. E. Salpeter and
S. B. Treiman Multiple Scattering in the Diffusion
Approximation . . . . . . . . . . . . . 659--668
M. R. Mendelson and
G. C. Summerfield One-Speed Neutron Transport in Two
Adjacent Half-Spaces . . . . . . . . . . 668--674
George H. Weiss Simple Derivation of the Faxén Solution
to the Lamm Equation . . . . . . . . . . 675--676
C. L. Mehta Phase-Space Formulation of the Dynamics
of Canonical Variables . . . . . . . . . 677--686
Leonard Gross Norm Invariance of Mass-Zero Equations
under the Conformal Group . . . . . . . 687--695
Daniel M. Lipkin Existence of a New Conservation Law in
Electromagnetic Theory . . . . . . . . . 696--700
Reese T. Prosser Segal's Quantization Procedure . . . . . 701--707
Reese T. Prosser Convergent Perturbation Expansions for
Certain Wave Operators . . . . . . . . . 708--713
W. Garczynski The Necessary and Sufficient Condition
in Terms of Wightman Functions for a
Field to be a Generalized Free Field . . 714--719
Asher Peres On Dirac's Wave Equation in a
Gravitational Field . . . . . . . . . . 720--721
G. C. Ghirardi and
A. Rimini Properties of a Class of Nonlocal
Solvable Interactions . . . . . . . . . 722--728
John D. Dollard Asymptotic Convergence and the Coulomb
Interaction . . . . . . . . . . . . . . 729--738
Don Secrest and
Lloyd Martin Holm Eigenfunctions of the Electron Spin
Operators . . . . . . . . . . . . . . . 738--742
Steven Weinberg Perturbation Theory for Strong Repulsive
Potentials . . . . . . . . . . . . . . . 743--747
Amiram Ron Quantum Kinetic Equations for Electrons
in a Periodic System . . . . . . . . . . 748--755
Harvey S. Leff Systematic Characterization of
$m$th-Order Energy-Level Spacing
Distributions . . . . . . . . . . . . . 756--762
Harvey S. Leff Class of Ensembles in the Statistical
Theory of Energy-Level Spectra . . . . . 763--768
Toshio Soda Some Dynamical Properties of an Impurity
in the Hard-Sphere Bose Gas . . . . . . 769--774
H. P. McKean Kramers--Wannier Duality for the
$2$-Dimensional Ising Model as an
Instance of Poisson's Summation Formula 775--776
P. Roman A Remarkable Connection Between Kemmer
Algebras and Unitary Groups . . . . . . 777--783
Joseph Callaway Theory of Scattering in Solids . . . . . 783--798
A. Pais and
Tai Tsun Wu Singular Potentials and Peratization. II 799--804
J. E. Burke Scattering of Surface Waves on an
Infinitely Deep Fluid . . . . . . . . . 805--819
Yung Ming Chen Diffraction by a Smooth Transparent
Object . . . . . . . . . . . . . . . . . 820--832
H. E. Moses Generalizations of the Jost Functions 833--840
J. L. Lebowitz and
O. Penrose Convergence of Virial Expansions . . . . 841--847
Rudolf Haag and
Daniel Kastler An Algebraic Approach to Quantum Field
Theory . . . . . . . . . . . . . . . . . 848--861
V. Bargmann Note on Wigner's Theorem on Symmetry
Operations . . . . . . . . . . . . . . . 862--868
David Korff Zero-Mass Representations of the Proper
Inhomogeneous Lorentz Group . . . . . . 869--877
James McKenna and
John R. Klauder Continuous-Representation Theory. IV.
Structure of a Class of Function Spaces
Arising from Quantum Mechanics . . . . . 878--896
D. C. Peaslee Uniqueness of $4$- and $8$-Dimensional
Spaces . . . . . . . . . . . . . . . . . 897--899
C. R. Hagen Lower Bounds on the Lehmann Weights in
Spin-Zero Meson Theory . . . . . . . . . 900--902
Melvin Schwartz Lagrangian and Hamiltonian Formalisms
with Supplementary Conditions . . . . . 903--907
Arthur R. Swift and
Benjamin W. Lee Singular Bethe--Salpeter Scattering
Amplitudes . . . . . . . . . . . . . . . 908--921
A. Chakrabarti On the Canonical Relativistic Kinematics
of $N$-Particle Systems . . . . . . . . 922--929
A. Lenard Momentum Distribution in the Ground
State of the One-Dimensional System of
Impenetrable Bosons . . . . . . . . . . 930--943
Michael E. Fisher Correlation Functions and the Critical
Region of Simple Fluids . . . . . . . . 944--962
Donald Koppel On the Stability of Flow of a Thermally
Stratified Fluid under the Action of
Gravity . . . . . . . . . . . . . . . . 963--982
R. P. Gilbert Bergman's Integral Operator Method in
Generalized Axially Symmetric Potential
Theory . . . . . . . . . . . . . . . . . 983--997
Albert G. Petschek Fluctuations in Multiple Capture
Processes . . . . . . . . . . . . . . . 998--999
Toshio Soda Errata: ``Excitation Spectrum of an
Impurity in the Hard-Sphere Bose Gas'' 1000--1000
Jean-Louis Calais and
Klaus Appel Inversion of Cyclic Matrices . . . . . . 1001--1008
John Stephenson Ising-Model Spin Correlations on the
Triangular Lattice . . . . . . . . . . . 1009--1024
Alexander Grossmann Nested Hilbert Spaces in Quantum
Mechanics. I . . . . . . . . . . . . . . 1025--1037
W. M. Fairbairn and
T. Fulton and
W. H. Klink Finite and Disconnected Subgroups of
${\rm SU}_3$ and their Application to
the Elementary-Particle Spectrum . . . . 1038--1051
J. M. Shpiz On Pais's Charge Correlation
Coefficients . . . . . . . . . . . . . . 1052--1052
M. Bolsterli Renormalization of Singlet Amplitude in
Intermediate-Vector-Boson Theory of Weak
Interactions . . . . . . . . . . . . . . 1053--1054
L. M. Delves Upper and Lower Bounds on Generalized
Fourier Coefficients . . . . . . . . . . 1055--1060
L. M. Delves Upper and Lower Bounds on the Matrix
Elements of an Arbitrary Bounded
Operator . . . . . . . . . . . . . . . . 1061--1064
Joseph R. Cox Many-Channel Bargmann Potentials . . . . 1065--1069
Johan G. Belinfante Existence of Scattering Solutions for
the Schrödinger Equation . . . . . . . . 1070--1074
Julius L. Jackson and
Sam R. Coriell On Trapped Trajectories in Brownian
Motion . . . . . . . . . . . . . . . . . 1075--1078
Hiroshi Ezawa The Representation of Canonical
Variables as the Limit of Infinite Space
Volume: The Case of the BCS Model . . . 1078--1090
Shigetoshi Katsura and
Sakari Inawashiro Linear Heisenberg Model of Ferro- and
Antiferromagnetism . . . . . . . . . . . 1091--1106
G. S. Rushbrooke On the Theory of Randomly Dilute Ising
and Heisenberg Ferromagnetics . . . . . 1106--1116
M. F. Sykes and
J. W. Essam Exact Critical Percolation Probabilities
for Site and Bond Problems in Two
Dimensions . . . . . . . . . . . . . . . 1117--1127
Harry Kesten On the Number of Self-Avoiding Walks. II 1128--1137
S. Sherman Product Property and Cluster Property
Equivalence . . . . . . . . . . . . . . 1137--1139
R. Balescu and
A. Kuszell Kinetic Equation for an Inhomogeneous
Plasma far from Equilibrium . . . . . . 1140--1149
M. L. Glasser Note on the Evaluation of Some Fermi
Integrals . . . . . . . . . . . . . . . 1150--1152
David S. Newman Equation of State for a Gas with a Weak,
Long-Range Positive Potential . . . . . 1153--1157
Gaston Fischer Microwave Surface Impedance of a
Periodic Medium . . . . . . . . . . . . 1158--1167
Farouk M. Odeh On the Integrodifferential Equations of
the Nonlocal Theory of Superconductivity 1168--1182
Paul W. Schmidt Asymptotic Expansion of Certain
Integrals Containing the Bessel Function
$J_0(x)$ . . . . . . . . . . . . . . . . 1183--1184
Richard M. Spector Exact Solution of the Schrödinger
Equation for Inverse Fourth-Power
Potential . . . . . . . . . . . . . . . 1185--1189
Edward Nelson Interaction of Nonrelativistic Particles
with a Quantized Scalar Field . . . . . 1190--1197
J. L. Lumley On Multiple-Valued Random Functions . . 1198--1203
John R. Klauder Linear Representation of Spinor Fields
by Antisymmetric Tensors . . . . . . . . 1204--1214
Robert B. Griffiths A Proof that the Free Energy of a Spin
System is Extensive . . . . . . . . . . 1215--1222
Irwin Manning A Theorem on the Determinantal Solution
of the Fredholm Equation . . . . . . . . 1223--1225
J.-P. Antoine and
D. Speiser Characters of Irreducible
Representations of the Simple Groups. I.
General Theory . . . . . . . . . . . . . 1226--1234
Levere Hostler Nonrelativistic Coulomb Green's Function
in Momentum Space . . . . . . . . . . . 1235--1240
Charles R. Willis A Model of Interacting Radiation and
Matter . . . . . . . . . . . . . . . . . 1241--1252
G. H. Derrick Comments on Nonlinear Wave Equations as
Models for Elementary Particles . . . . 1252--1254
Yutze Chow On Some Topological Properties of
Feynman Graphs and Their Application to
Formulas Related to the Feynman
Amplitudes . . . . . . . . . . . . . . . 1255--1260
Kalman Kalikstein and
Larry Spruch Scattering of Electromagnetic Waves by a
Ferrite in a Waveguide . . . . . . . . . 1261--1272
C. H. Su Kinetic Theory of a Weakly Coupled Gas 1273--1290
Edgar A. Kraut The Uniqueness of Weak Solutions of the
One-Dimensional Scalar Analog to the
Navier--Stokes Equation . . . . . . . . 1290--1292
Paul B. Bailey Exact Quantization Rules for the
One-Dimensional Schrödinger Equation with
Turning Points . . . . . . . . . . . . . 1293--1297
H. F. Tiersten Coupled Magnetomechanical Equations for
Magnetically Saturated Insulators . . . 1298--1318
York-Peng Yao Quantization of Electrodynamics in the
Axial Gauge . . . . . . . . . . . . . . 1319--1321
York-Peng Yao Spin and Statistics with an
Electromagnetic Field . . . . . . . . . 1322--1326
Y. J. Seto and
Arwin A. Dougal The Wave Equation and the Green's Dyadic
for Bounded Magnetoplasmas . . . . . . . 1326--1334
C. R. Hagen and
A. J. Macfarlane Triality Type and its Generalization in
Unitary Symmetry Theories . . . . . . . 1335--1339
R. P. Kenschaft and
R. D. Amado Solution of a Singular Integral Equation
from Scattering Theory . . . . . . . . . 1340--1342
Sidney Coleman The Clebsch--Gordan Series for ${\rm
SU}(3)$ . . . . . . . . . . . . . . . . 1343--1344
Thomas F. Jordan Lorentz Invariant Multichannel
Scattering Formalism . . . . . . . . . . 1345--1360
B. Schroer The Concept of Nonlocalizable Fields and
its Connection with Nonrenormalizable
Field Theories . . . . . . . . . . . . . 1361--1367
Olof Brulin and
Stig Hjalmars The Graviton as a Spin-2 Particle . . . 1368--1370
Steven Weinberg The Hose Instability Dispersion Relation 1371--1386
Graziella Bardotti and
Bruno Bertotti and
Laura Gianolio Magnetic Configuration of a Cylinder
with Infinite Conductivity . . . . . . . 1387--1390
M. Andrews and
J. Gunson Complex Angular Momenta and
Many-Particle States. I. Properties of
Local Representations of the Rotation
Group . . . . . . . . . . . . . . . . . 1391--1400
Tohru Morita Statistical Mechanics of Quenched Solid
Solutions with Application to
Magnetically Dilute Alloys . . . . . . . 1401--1405
Y. S. Jin and
A. Martin Remarks on the Polynomial Boundedness in
the Mandelstam Representation . . . . . 1406--1412
J. G. Fikioris and
P. C. Waterman Multiple Scattering of Waves. II. ``Hole
Corrections'' in the Scalar Case . . . . 1413--1420
Attia A. Ashour An Integral Equation for the Associated
Legendre Function of the First Kind . . 1421--1423
Saul Silven Application of Operational Methods to
the Analysis of the Motion of Rigid
Bodies . . . . . . . . . . . . . . . . . 1424--1426
Myron Bander An Iterative Solution of the $N / D$
Equation . . . . . . . . . . . . . . . . 1427--1430
R. Penney Duality Invariance and Riemannian
Geometry . . . . . . . . . . . . . . . . 1431--1437
J. S. Lomont and
H. E. Moses Representations of the Inhomogeneous
Lorentz Group in Terms of an Angular
Momentum Basis: Derivation for the Cases
of Nonzero Mass and Zero Mass, Discrete
Spin . . . . . . . . . . . . . . . . . . 1438--1457
Noboru Nakanishi Fundamental Properties of
Perturbation-Theoretical Integral
Representations. III . . . . . . . . . . 1458--1473
Kenneth D. Granzow $N$-Dimensional Total Orbital
Angular-Momentum Operator. II. Explicit
Representations . . . . . . . . . . . . 1474--1477
Harold Falk Inequalities Relating the
Nearest-Neighbor Spin Correlation and
the Magnetization for the Heisenberg
Hamiltonian . . . . . . . . . . . . . . 1478--1480
Ivan J. Muzinich Crossing Matrices for Helicity
Amplitudes, Application to Crossed
Channel Partial-Wave Analysis, and
Reggeization . . . . . . . . . . . . . . 1481--1490
J. C. Polkinghorne Asymptotic Behavior of Feynman Integrals
with Spin . . . . . . . . . . . . . . . 1491--1498
Farouk Odeh and
Joseph B. Keller Partial Differential Equations with
Periodic Coefficients and Bloch Waves in
Crystals . . . . . . . . . . . . . . . . 1499--1504
Mervine Rosen and
Donald R. Yennie A Modified WKB Approximation for Phase
Shifts . . . . . . . . . . . . . . . . . 1505--1515
Martin A. Leibowitz Particle Moderation: Random Functional
Approach . . . . . . . . . . . . . . . . 1516--1526
Robert L. Bowden and
Clayton D. Williams Solution of the Initial-Value Transport
Problem for Monoenergetic Neutrons in
Slab Geometry . . . . . . . . . . . . . 1527--1540
Yung Ming Chen On Scattering of Waves by Objects
Imbedded in Random Media: Stochastic
Linear Partial Differential Equations
and Scattering of Waves by Conducting
Sphere Imbedded in Random Media . . . . 1541--1546
Peter J. Redmond Some Remarks Concerning a Pathological
Matrix of Interest in the
Inverse-Scattering Problem . . . . . . . 1547--1554
George L. Montet The Effective Resistance of Passive
Networks . . . . . . . . . . . . . . . . 1555--1559
J.-P. Antoine and
D. Speiser Characters of Irreducible
Representations of the Simple Groups.
II. Application to Classical Groups . . 1560--1572
N. Hashitsume and
S. Fujita Kinetic Approach to Thermal Transport
Phenomena. I. Classical Theory . . . . . 1572--1579
R. F. Snider Perturbation Variation Methods for a
Quantum Boltzmann Equation . . . . . . . 1580--1587
W. C. Davidon and
H. Ekstein Observables in Relativistic Quantum
Mechanics . . . . . . . . . . . . . . . 1588--1594
R. L. Gluckstern and
Shin-R Lin Relativistic Coulomb Scattering of
Electrons . . . . . . . . . . . . . . . 1594--1602
Elihu Lubkin Possible Relationship between Electric
Charge and Dual Charge . . . . . . . . . 1603--1606
Julian Schwinger Coulomb Green's Function . . . . . . . . 1606--1608
Matts Roos On the Construction of a Unitary Matrix
with Elements of Given Moduli . . . . . 1609--1611
G. F. Smith On the Generation of Anisotropic Tensors 1612--1614
Arnold D. Levine Lagrangian Formulation of the Phonon
Field Equations . . . . . . . . . . . . 1615--1618
N. C. Mathur and
K. C. Yeh Multiple Scattering of Electromagnetic
Waves by Random Scatterers of Finite
Size . . . . . . . . . . . . . . . . . . 1619--1628
Frank B. Estabrook and
Hugo D. Wahlquist Dyadic Analysis of Space-Time
Congruences . . . . . . . . . . . . . . 1629--1644
D. M. Fradkin and
C. L. Hammer and
T. A. Weber Scattering Wavefunctions for a Dirac
Particle in a Central Potential . . . . 1645--1651
A. O. Barut Complex Lorentz Group with a Real
Metric: Group Structure . . . . . . . . 1652--1656
R. Penney Algebra of Dirac Bilinears . . . . . . . 1657--1658
Thomas A. Morgan Two Classes of New Conservation Laws for
the Electromagnetic Field and for Other
Massless Fields . . . . . . . . . . . . 1659--1660
Burt V. Bronk Theorem Relating the Eigenvalue Density
for Random Matrices to the Zeros of the
Classical Polynomials . . . . . . . . . 1661--1663
H. C. Corben If Microns Were Fermis . . . . . . . . . 1664--1668
K. S. H. Lee and
C. H. Papas Electromagnetic Radiation in the
Presence of Moving Simple Media . . . . 1668--1672
J. A. Morrison and
H. L. Frisch High-Field Magnetoresistance of
Inhomogeneous Semiconductors and
Plasmas. II. Two-Dimensional
Inhomogeneity Distributions . . . . . . 1672--1681
J. A. Morrison and
H. L. Frisch High-Field Magnetoresistance of
Inhomogeneous Semiconductors and
Plasmas. III. Two-Dimensional
Inhomogeneity Distributions . . . . . . 1681--1687
C. Isenberg Numerical Method for the Exact Expansion
of Generating Functions . . . . . . . . 1687--1691
Morton D. Kostin and
Harvey Brooks Generalization of the Variational Method
of Kahan, Rideau, and Roussopoulos and
Its Application to Neutron Transport
Theory . . . . . . . . . . . . . . . . . 1691--1700
Ching-Sheng Wu Useful Operator in Plasma Kinetic Theory 1701--1712
Jan Tarski Representation of Fields in a
Two-Dimensional Model Theory . . . . . . 1713--1722
G. E. Baird and
L. C. Biedenharn On the Representations of the Semisimple
Lie Groups. III. The Explicit
Conjugation Operation for ${\rm SU}_n$ 1723--1730
G. E. Baird and
L. C. Biedenharn On the Representations of the Semisimple
Lie Groups. IV. A Canonical
Classification for Tensor Operators in
${\rm SU}_3$ . . . . . . . . . . . . . . 1730--1747
A. Chakrabarti Applications of the Lorentz
Transformation Properties of Canonical
Spin Tensors . . . . . . . . . . . . . . 1747--1755
Claude Garrod and
Jerome K. Percus Reduction of the $N$-Particle
Variational Problem . . . . . . . . . . 1756--1776
K. M. Mitzner Effect of Small Irregularities on
Electromagnetic Scattering from an
Interface of Arbitrary Shape . . . . . . 1776--1786
Wolfgang Börsch-Supan Comparison of Two Methods for Lower
Bounds to Eigenvalues . . . . . . . . . 1787--1788
David Montgomery Generalized Perturbation Expansion for
the Klein--Gordon Equation with a Small
Nonlinearity . . . . . . . . . . . . . . 1788--1795
B. Gruber and
L. O'Raifeartaigh $S$ Theorem and Construction of the
Invariants of the Semisimple Compact Lie
Algebras . . . . . . . . . . . . . . . . 1796--1804
M. R. Mendelson and
G. C. Summerfield Addendum: ``One-Speed Neutron Transport
in Two Adjacent Half-Spaces'' . . . . . 1804--1804
J. S. Lomont and
H. E. Moses Errata: ``The Representations of the
Inhomogeneous Lorentz Group in Terms of
an Angular Momentum Basis'' . . . . . . 670--670
J. S. Lomont and
H. E. Moses Errata: ``Representations of the
Inhomogeneous Lorentz Group in Terms of
an Angular Momentum Basis: Derivation
for the Cases of Nonzero Mass and Zero
Mass, Discrete Spin'' . . . . . . . . . 670--670
Matts Roos Erratum: ``On the Construction of a
Unitary Matrix with Elements of Given
Moduli'' . . . . . . . . . . . . . . . . 1354--1354
Saul Silven Errata: ``Application of Operational
Methods to The Analysis of Uniform
Plasmas'' . . . . . . . . . . . . . . . 1354--1354
Sidney Coleman Erratum: ``The Clebsch--Gordan Series
for ${\rm SU}(3)$'' . . . . . . . . . . 2014--2014
M. L. Glasser Erratum: ``Note on the Evaluation of
Some Fermi Integrals'' . . . . . . . . . 1340--1340
C. Yeh and
C. S. Kim Erratum: ``The diffraction of waves by a
penetrable ribbon'', [J. Math. Phys. \bf
4 (1963), 65--71; MR \bf 26 #1023] by
Yeh . . . . . . . . . . . . . . . . . . 721--722