Last update:
Wed Nov 8 10:31:44 MST 2023
J. S. Lomont and
H. E. Moses The Representations of the Inhomogeneous
Lorentz Group in Terms of an Angular
Momentum Basis . . . . . . . . . . . . . 294--298
Saul Silven Application of Operational Methods to
the Analysis of Uniform Plasmas . . . . 557--560
M. L. Glasser Note on the Evaluation of Some Fermi
Integrals . . . . . . . . . . . . . . . 1150--1152
Sidney Coleman The Clebsch--Gordan Series for ${\rm
SU}(3)$ . . . . . . . . . . . . . . . . 1343--1344
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
Matts Roos On the Construction of a Unitary Matrix
with Elements of Given Moduli . . . . . 1609--1611
P. G. Bergmann and
M. Cahen and
A. B. Komar Spherically Symmetric Gravitational
Fields . . . . . . . . . . . . . . . . . 1--5
W. Hunziker Cluster Properties of Multiparticle
Systems . . . . . . . . . . . . . . . . 6--10
C. A. Hurst Relation between the Onsager and
Pfaffian Methods for Solving the Ising
Problem. I. The Rectangular Lattice . . 11--18
Serafin Fraga Improved Self-Consistent Configuration
Interaction . . . . . . . . . . . . . . 18--23
R. A. Berg Covariant Higher-Spin Equations . . . . 24--33
R. A. Berg Position and Intrinsic Spin Operators in
Quantum Theory . . . . . . . . . . . . . 34--39
Gian Carlo Ghirardi and
Alberto Rimini On the Number of Bound States of a Given
Interaction . . . . . . . . . . . . . . 40--44
Elliott R. Nagelberg Perturbation Theory of Microwave
Interaction with Gyroelectric Plasmas 44--50
Henry Brysk Summation of Partial Waves . . . . . . . 51--54
Alexander Grossmann Hilbert Spaces of Type S . . . . . . . . 54--67
John R. Klauder and
James McKenna Continuous-Representation Theory. V.
Construction of a Class of Scalar Boson
Field Continuous Representations . . . . 68--87
Yrjö Ahmavaara The Structure of Space and the Formalism
of Relativistic Quantum Theory. I . . . 87--93
Carl H. Brans Invariant Approach to the Geometry of
Spaces in General Relativity . . . . . . 94--102
James P. Wright Solution of Einstein's Field Equations
for a Rotating, Stationary, and
Dust-Filled Universe . . . . . . . . . . 103--105
Gerald L. Jones Method for Treating Fluctuation of
Dynamical Variables . . . . . . . . . . 106--111
M. C. Pease Scalar Invariants of a Rotational System
in a Lie Algebra . . . . . . . . . . . . 111--117
P. F. Jordan and
P. E. Shelley Formal Solution of a Nonhomogeneous
Differential Equation with a Double
Transition Point . . . . . . . . . . . . 118--135
M. Martinis Complete High-Energy Behavior for
Certain Planar Graphs . . . . . . . . . 136--141
Bruria Kaufman and
Cornelius Noack Unitary Symmetry of Oscillators and the
Talmi Transformation . . . . . . . . . . 142--152
C. R. Legéndy Existence of Proper Modes of Helicon
Oscillations . . . . . . . . . . . . . . 153--157
Allan M. Salzberg Exact Statistical Thermodynamics of
Gravitational Interactions in One and
Two Dimensions . . . . . . . . . . . . . 158--160
Francesco Calogero Sufficient Conditions for an Attractive
Potential to Possess Bound States . . . 161--164
C. G. Bollini and
J. J. Giambiagi and
A. González Domínguez On the Reduction Formula of Feinberg and
Pais . . . . . . . . . . . . . . . . . . 165--166
Elliott W. Montroll and
George H. Weiss Random Walks on Lattices. II . . . . . . 167--181
Robert L. Zimmerman Analytic Continuation of a $(l, s)$ for
$\Re{l} < N$ . . . . . . . . . . . . . . 182--192
Ralph Nossal Effects of Finite Sample Size on the
Measurement of Transport Quantities . . 193--200
D. Ruelle Correlation Functionals . . . . . . . . 201--220
Yrjö Ahmavaara The Structure of Space and the Formalism
of Relativistic Quantum Theory. II . . . 220--227
Burt V. Bronk Exponential Ensemble for Random Matrices 228--237
Jean Ginibre Reduced Density Matrices of Quantum
Gases. I. Limit of Infinite Volume . . . 238--251
Jean Ginibre Reduced Density Matrices of Quantum
Gases. II. Cluster Property . . . . . . 252--262
W. Zernik and
R. W. Klopfenstein Two-Photon Ionization of Atomic
Hydrogen. II . . . . . . . . . . . . . . 262--270
M. Beran and
P. Corson Use of Analytic Signals in Third- and
Fourth-Order Coherence Functions . . . . 271--282
M. F. Sykes and
J. W. Essam and
D. S. Gaunt Derivation of Low-Temperature Expansions
for the Ising Model of a Ferromagnet and
an Antiferromagnet . . . . . . . . . . . 283--298
G. Källén and
J. Toll Special Class of Feynman Integrals in
Two-Dimensional Space--time . . . . . . 299--303
Daniel C. Mattis and
Elliott H. Lieb Exact Solution of a Many-Fermion System
and Its Associated Boson Field . . . . . 304--312
Karl Schindler Adiabatic Particle Orbits in
Discontinuous Fields . . . . . . . . . . 313--321
L. B. Redei The Dirac Equation and the Unitary
Representations of the Inhomogeneous
Lorentz Group . . . . . . . . . . . . . 322--326
C. Oberman and
M. Kruskal Some Constants of the Linearized Motion
of Vlasov Plasmas . . . . . . . . . . . 327--335
Samson Zimering Mathematical Methods for Evaluating
Three-Body Interactions Between
Closed-Shell Atoms or Ions . . . . . . . 336--347
Franz Mohling and
W. T. Grandy Quantum Statistics of Multicomponent
Systems . . . . . . . . . . . . . . . . 348--379
Hiroshi Ezawa Quantum Mechanics of a Many-Boson System
and the Representation of Canonical
Variables . . . . . . . . . . . . . . . 380--404
D. W. Jepsen Dynamics of a Simple Many-Body System of
Hard Rods . . . . . . . . . . . . . . . 405--413
G. W. Erickson and
H. M. Fried Lepton Scattering Amplitudes in Two
Model Field Theories . . . . . . . . . . 414--423
Paul W. Schmidt Asymptotic Expansion of the Intensity of
the Small-Angle X-Ray Scattering from
Cylinders of Arbitrary Cross Section . . 424--431
J. B. McGuire Interacting Fermions in One Dimension.
I. Repulsive Potential . . . . . . . . . 432--439
Jean Ginibre Statistical Ensembles of Complex,
Quaternion, and Real Matrices . . . . . 440--449
Michael Revzen Self-Consistent Approximations in
Many-Body Systems . . . . . . . . . . . 450--453
Paul B. Bailey and
G. Milton Wing Some Recent Developments in Invariant
Imbedding with Applications . . . . . . 453--462
Francis R. Halpern and
William Wilson Poles in Feynman Diagrams with Several
Loops . . . . . . . . . . . . . . . . . 463--469
I. S. Gerstein Construction of the Charge Operator for
Higher Symmetry Schemes . . . . . . . . 469--473
H. Heffner and
W. H. Louisell Transformation Having Applications in
Quantum Mechanics . . . . . . . . . . . 474--478
H. P. McKean and
M. Schreiber and
G. H. Weiss Isoperimetric Problem with Application
to the Figure of Cells . . . . . . . . . 479--484
A. Krzywicki Calculation of Certain Phase-Space
Integrals . . . . . . . . . . . . . . . 485--487
L. B. Redei Composite Particles in a Relativistic
Model of Two-Body Scattering . . . . . . 487--491
Attia A. Ashour Fourier Series Expansion for the General
Power of the Distance between Two Points 492--494
F. Rohrlich and
J. C. Stoddart Microcausality in Asymptotic Quantum
Field Theory . . . . . . . . . . . . . . 495--499
O. W. Greenberg and
A. M. L. Messiah High-Order Limit of Para-Bose and
Para-Fermi Fields . . . . . . . . . . . 500--504
G. W. Ford and
M. Kac and
P. Mazur Statistical Mechanics of Assemblies of
Coupled Oscillators . . . . . . . . . . 504--515
Stanley Ò. Aks Proof that Scattering Implies Production
in Quantum Field Theory . . . . . . . . 516--532
A. J. Dragt Classification of Three-Particle States
According to ${\rm SU}_3$ . . . . . . . 533--553
Claude Bloch and
James S. Langer Diagram Renormalization, Variational
Principles, and the Infinite-Dimensional
Ising Model . . . . . . . . . . . . . . 554--572
George Tiktopoulos Note on Positronium . . . . . . . . . . 573--577
J. A. Castilho Alcarás and
P. Leal Ferreira Algebraic Construction of the Basis for
the Irreducible Representations of
Rotation Groups and for the Homogeneous
Lorentz Group . . . . . . . . . . . . . 578--583
Manfred Trümper On a Special Class of Type-I
Gravitational Fields . . . . . . . . . . 584--589
István Ozsváth New Homogeneous Solutions of Einstein's
Field Equations with Incoherent Matter
Obtained by a Spinor Technique . . . . . 590--610
Calvin H. Wilcox Uniform Asymptotic Estimates for Wave
Packets in the Quantum Theory of
Scattering . . . . . . . . . . . . . . . 611--620
R. K. Nesbet Excitation Operators and Intrinsic
Hamiltonians . . . . . . . . . . . . . . 621--629
B. W. Abraham Approach to Stability of a Plasma . . . 630--636
D. Bessis Upper Bound for the Double Spectral
Function in Potential Scattering . . . . 637--643
A. H. Gray Uniqueness of Steady-State Solutions to
the Fokker--Planck Equation . . . . . . 644--647
R. Rockmore Property of the Vertex Function in
Potential Theory . . . . . . . . . . . . 648--651
Yoh-Han Pao and
H. L. Frisch Vertex Modification for Coulombic
Interactions by Exact Summation of
Ladder Diagrams . . . . . . . . . . . . 652--655
Yukio Tomozawa Internal Symmetry and the Poincaré Group 656--657
Eugene Feenberg Necessary Condition on the Radial
Distribution Function . . . . . . . . . 658--659
J. V. Greenman High-Energy Behavior at Fixed Angle for
the Five-Point Function in Perturbation
Theory . . . . . . . . . . . . . . . . . 660--670
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
Tran Trong Gien Relativistic Formulation of the Lifetime
Matrix in the Potential Theory of
Collision . . . . . . . . . . . . . . . 671--676
Mirza A. B. Bég and
Henri Ruegg A Set of Harmonic Functions for the
Group ${\rm SU}(3)$ . . . . . . . . . . 677--682
John G. Nagel and
Marcos Moshinsky Operators that Lower or Raise the
Irreducible Vector Spaces of ${\rm U}_{n
- 1}$ Contained in an Irreducible Vector
Space of ${\rm U}_n$ . . . . . . . . . . 682--694
Tsutomu Imamura and
William C. Meecham and
Armand Siegel Symbolic Calculus of the Wiener Process
and Wiener--Hermite Functionals . . . . 695--706
Armand Siegel and
Tsutomu Imamura and
William C. Meecham Wiener--Hermite Expansion in Model
Turbulence in the Late Decay Stage . . . 707--721
J. G. Kuriyan and
D. Lurié and
A. J. Macfarlane Algebraic Tabulation of Clebsch--Gordan
Coefficients of ${\rm SU}_3$ for the
Product $(\lambda, \mu) \otimes (1, 1)$
of Representations of ${\rm SU}_3$ . . . 722--733
John R. Klauder and
James McKenna and
Douglas G. Currie On ``Diagonal'' Coherent-State
Representations for Quantum-Mechanical
Density Matrices . . . . . . . . . . . . 734--739
Robert E. Pugh $S$-Operator Theory. I. Formulation . . 740--746
N. Mukunda and
L. K. Pandit Tensor Methods and a Unified
Representation Theory of ${\rm SU}_3$ 746--765
M. Danos and
L. C. Maximon Multipole Matrix Elements of the
Translation Operator . . . . . . . . . . 766--778
H. F. Tiersten Variational Principle for Saturated
Magnetoelastic Insulators . . . . . . . 779--787
K. J. Barnes Lagrangian Theory for the Second-Rank
Tensor Field . . . . . . . . . . . . . . 788--794
Kerson Huang and
Francis E. Low Exact Bootstrap Solutions in Some Static
Models of Meson-Baryon Scattering . . . 795--816
Robert Hermann Compactification of Minkowski Space and
${\rm SU}(3)$ Symmetry . . . . . . . . . 817--819
D. Bessis Problem of Subtractions in Potential
Scattering . . . . . . . . . . . . . . . 820--824
Paul Federbush Note on Non-Landau Singularities . . . . 825--826
J. Gunson Unitarity and On-Mass-Shell Analyticity
as a Basis for $S$-Matrix Theories. I 827--844
J. Gunson Unitarity and On-Mass-Shell Analyticity
as a Basis for $S$-Matrix Theories. II 845--851
J. Gunson Unitarity and On-Mass-Shell Analyticity
as a Basis for $S$-Matrix Theories. III 852--858
Albert W. Sáenz Long-Time Behavior of the Electric
Potential and Stability in the
Linearized Vlasov Theory . . . . . . . . 859--875
N. Karayianis and
C. A. Morrison Projected Angular Momentum States . . . 876--879
D. M. Fradkin Conserved Quantities Associated with
Symmetry Transformations of Relativistic
Free-Particle Equations of Motion . . . 879--890
M. Eger and
E. P. Gross Spatially Inhomogeneous States of
Many-Body Systems . . . . . . . . . . . 891--901
A. I. Janis and
E. T. Newman Structure of Gravitational Sources . . . 902--914
E. T. Newman and
A. I. Janis Note on the Kerr Spinning-Particle
Metric . . . . . . . . . . . . . . . . . 915--917
E. T. Newman and
E. Couch and
K. Chinnapared and
A. Exton and
A. Prakash and
R. Torrence Metric of a Rotating, Charged Mass . . . 918--919
A. R. Marlow Unified Dirac--von Neumann Formulation
of Quantum Mechanics. I. Mathematical
Theory . . . . . . . . . . . . . . . . . 919--927
H. E. Moses Transformation from a Linear Momentum to
an Angular Momentum Basis for Particles
of Zero Mass and Finite Spin . . . . . . 928--940
Paul Federbush Calculation of Some Homology Groups
Relevant to Sixth-Order Feynman Diagrams 941--954
Antonio Pagnamenta Solution of the Källén--Pauli Equation . . 955--965
J. Kane and
E. R. Surynarayan Integrals of the Second-Order Linear
Differential Equation . . . . . . . . . 966--974
J. Mandelbrojt and
S. Mandelbrojt Mathematical Study of the Cutoff
Procedure for Divergent Integrals in
Bound-State Problems . . . . . . . . . . 974--980
Richard E. Norton On the Quantum Field Theories Leading to
the Corben Equations . . . . . . . . . . 981--992
E. Gerjuoy Momentum Transfer Cross-Section Theorem 993--996
Elliot Leader Note on Bég's Approach To Peratization 996--998
W. H. Klink Disconnected Groups as Higher Symmetry
Groups . . . . . . . . . . . . . . . . . 999--1004
S. Fujita Generalized Boltzmann Equation for a
Quantum Gas Obeying Classical Statistics 1004--1008
Gerald L. Jones and
Michael Davies Fluctuations in Equilibrium and
Nonequilibrium Ensembles . . . . . . . . 1009--1014
Glen Baxter Weight Factors for the Two-Dimensional
Ising Model . . . . . . . . . . . . . . 1015--1021
T. W. B. Kibble Conservation Laws for Free Fields . . . 1022--1026
R. Penney Tensorial Description of Neutrinos . . . 1026--1028
R. Penney Geometrization of a Massive Scalar Field 1029--1031
R. Penney Bosons and Fermions . . . . . . . . . . 1031--1034
R. W. Richardson Exact Eigenstates of the Pairing-Force
Hamiltonian. II . . . . . . . . . . . . 1034--1051
Asher Peres Quantum Electrodynamics Without
Indefinite Metric . . . . . . . . . . . 1052--1056
Bayard Rankin Quantum Mechanical Time . . . . . . . . 1057--1071
Richard Arens and
Donald Babbitt Algebraic Difficulties of Preserving
Dynamical Relations When Forming
Quantum-Mechanical Operators . . . . . . 1071--1075
H. M. Fried Functional Expansion in Peratization
Theory . . . . . . . . . . . . . . . . . 1076--1082
M. D. Girardeau Off-Diagonal Long-Range Order and
Generalized Bose Condensation . . . . . 1083--1098
Dave Pandres Schrödinger Basis for Spinor
Representations of the Three-Dimensional
Rotation Group . . . . . . . . . . . . . 1098--1102
Nazakat Ullah Asymptotic Reduced-Width Amplitude
Distributions . . . . . . . . . . . . . 1102--1105
F. Calogero Sufficient Conditions for an Attractive
Potential to Possess Bound States. II 1105--1107
J. Korringa Variational Principle for Diffraction of
Elastic Waves . . . . . . . . . . . . . 1107--1114
H. H. Aly and
Riazuddin and
A. H. Zimerman Scattering by Singular Logarithmic
Potential . . . . . . . . . . . . . . . 1115--1117
Robert L. Zimmerman Evaluation of Feynman's Functional
Integrals . . . . . . . . . . . . . . . 1117--1124
I. Kuscer and
P. F. Zweifel Time-Dependent One-Speed Albedo Problem
for a Semi-Infinite Medium . . . . . . . 1125--1130
J. G. Fikioris Asymptotic Expansions of Solutions of
Differential Equations . . . . . . . . . 1131--1148
J. G. Taylor On Polynomial Systems in a Banach Ring 1148--1151
Tohru Morita and
Tomoyasu Tanaka Effect of $n$-Spin-Wave Interaction on
the Low-Temperature Spontaneous
Magnetization . . . . . . . . . . . . . 1152--1154
Kurt Symanzik Proof and Refinements of an Inequality
of Feynman . . . . . . . . . . . . . . . 1155--1156
R. P. Gilbert and
H. C. Howard and
S. Aks Singularities of Analytic Functions
Having Integral Representations, with a
Remark about the Elastic Unitarity
Integral . . . . . . . . . . . . . . . . 1157--1162
Peter J. Redmond Solution of the Klein--Gordon and Dirac
Equations for a Particle with a Plane
Electromagnetic Wave and a Parallel
Magnetic Field . . . . . . . . . . . . . 1163--1169
Charles M. Sommerfield Solution of the Integral Equation for $V
\theta$ Scattering in the Lee Model . . 1170--1172
Arthur Jaffe On the Approximation of Quantum Field
Theories . . . . . . . . . . . . . . . . 1172--1178
Cah\"\it Arf and
Kaya Ïmre and
Ercüment Öz\"\izm\"\ir On the Algebraic Structure of the
Cluster Expansion in Statistical
Mechanics . . . . . . . . . . . . . . . 1179--1188
S. Sherman Cluster-Star Inversion and the Möbius
Formula . . . . . . . . . . . . . . . . 1189--1192
G. Stell Cluster-Star Inversion by Means of
Generating Functionals . . . . . . . . . 1193--1200
Stanislaw L. Bazanski Decomposition of the Lorentz
Transformation Matrix into
Skew-Symmetric Tensors . . . . . . . . . 1201--1203
N. Karayianis Atomic Terms for Equivalent Electrons 1204--1209
John Langerholc Trace Formalism for Quantum Mechanical
Expectation Values . . . . . . . . . . . 1210--1218
Edward H. Kerner Can the Position Variable be a Canonical
Coordinate in a Relativistic
Many-Particle Theory? . . . . . . . . . 1218--1227
S. K. Bose and
S. N. Biswas Quantum Electrodynamics with Vanishing
Bare Fermion Mass . . . . . . . . . . . 1227--1230
Harold Levine Scattering of Surface Waves by a
Submerged Circular Cylinder . . . . . . 1231--1243
H. E. Moses Transformation from a Linear Momentum to
an Angular Momentum Basis for
Relativistic Particles of Nonzero Mass
and Any Spin . . . . . . . . . . . . . . 1244--1254
István Ozsváth Homogeneous Solutions of the
Einstein--Maxwell Equations . . . . . . 1255--1265
István Ozsváth All Homogeneous Solutions of Einstein's
Field Equations with Incoherent Matter
and Electromagnetic Radiation . . . . . 1265--1268
Gerald Rosen Particlelike Solutions to Nonlinear
Scalar Wave Theories . . . . . . . . . . 1269--1272
P. Rudra On Projective Representations of Finite
Groups . . . . . . . . . . . . . . . . . 1273--1277
P. Rudra On Irreducible Representations of Space
Groups . . . . . . . . . . . . . . . . . 1278--1282
J. L. Lebowitz and
G. Stell and
S. Baer Separation of the Interaction Potential
into Two Parts in Treating Many-Body
Systems. I. General Theory and
Applications to Simple Fluids with
Short-Range and Long-Range Forces . . . 1282--1298
A. Schild and
J. A. Schlosser Fokker Action Principle for Particles
with Charge, Spin, and Magnetic Moment 1299--1306
Ernest E. H. Shin Born Reciprocity Principle and Unitary
Symmetry . . . . . . . . . . . . . . . . 1307--1309
R. Penney Geometric Theory of Neutrinos . . . . . 1309--1314
J. Tharrats and
O. Cerceau and
O. Rojo General Operator Potential for the
Two-Nucleon System . . . . . . . . . . . 1315--1320
Leonard Eyges Improved Method for Quantum Mechanical
Three-Body Problems. I. Attractive
Potentials . . . . . . . . . . . . . . . 1320--1328
E. C. G. Sudarshan Concerning Space--time, Symmetry Groups,
and Charge Conservation . . . . . . . . 1329--1331
Yung Ming Chen Diffraction by a Smooth Transparent
Object. II. Diffraction by a Cylindrical
Cavity . . . . . . . . . . . . . . . . . 1332--1333
M. C. Pease Scalar Invariants of a Rotational System
in a Lie Algebra. II. Casimir Operators 1334--1340
Per-Olov Löwdin Studies in Perturbation Theory. IX.
Connection Between Various Approaches in
the Recent Development-Evaluation of
Upper Bounds to Energy Eigenvalues in
Schrödinger's Perturbation Theory . . . . 1341--1353
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
C. R. Hagen and
A. J. Macfarlane Reduction of Representations of ${\rm
SU}_{mn}$ with respect to the Subgroup
${\rm SU}_m \otimes {\rm SU}_n$ . . . . 1355--1365
C. R. Hagen and
A. J. Macfarlane Reduction of Representations of ${\rm
SU}_{m + n}$ with respect to the
Subgroup ${\rm SU}_m \otimes {\rm SU}_n$ 1366--1371
Jean-Marc Lévy-Leblond and
Monique Lévy-Nahas Symmetrical Coupling of Three Angular
Momenta . . . . . . . . . . . . . . . . 1372--1380
Claude Itzykson On the Possibility of Relating Internal
Symmetries and Lorentz Invariance . . . 1381--1386
P. Szekeres The Gravitational Compass . . . . . . . 1387--1391
Colin J. Thompson Algebraic Derivation of the Partition
Function of a Two-Dimensional Ising
Model . . . . . . . . . . . . . . . . . 1392--1395
E. Gerjuoy Momentum-Transfer Theorem for Inelastic
Processes . . . . . . . . . . . . . . . 1396--1402
Charles A. Johnson and
G. D. Chakerian On the Proof and Uniqueness of Wulff's
Construction of the Shape of Minimum
Surface Free Energy . . . . . . . . . . 1403--1404
A. Papapetrou Theorem on Nonradiative Electromagnetic
and Gravitational Fields . . . . . . . . 1405--1410
Hirsh Cohen and
Farouk Odeh Backward Superconducting Switching . . . 1411--1424
A. J. Coleman Structure of Fermion Density Matrices.
II. Antisymmetrized Geminal Powers . . . 1425--1431
Jean Ginibre Reduced Density Matrices of Quantum
Gases. III. Hard-Core Potentials . . . . 1432--1446
Robert B. Griffiths Microcanonical Ensemble in Quantum
Statistical Mechanics . . . . . . . . . 1447--1461
Robert M. May Magnetic Properties of Charged Ideal
Quantum Gases in n Dimensions . . . . . 1462--1468
J. B. Boyling A Proof of Nakanishi's Inequality . . . 1469--1471
Arthur R. Swift Mixing of Regge Poles and Cuts in a
Field-Theory Model . . . . . . . . . . . 1472--1481
Rémi Hakim A Covariant Theory of Relativistic
Brownian Motion I. Local Equilibrium . . 1482--1495
Frank C. Andrews On the Solution of the BBGKY Equations
for a Dense Classical Gas . . . . . . . 1496--1505
Morton E. Gurtin Variational Principle for the
Time-Dependent Schrödinger Equation . . . 1506--1507
Leonard Sarason Hydromagnetic Switch-on Shocks . . . . . 1508--1518
J. Voisin On Some Unitary Representations of the
Galilei Group I. Irreducible
Representations . . . . . . . . . . . . 1519--1529
A. P. Balachandran Inequalities for the Solutions of Linear
Integral Equations . . . . . . . . . . . 1530--1533
M. L. Whippman Branching Rules for Simple Lie Groups 1534--1539
T. A. Brody and
M. Moshinsky and
I. Renero Recursion Relations for the Wigner
Coefficients of Unitary Groups . . . . . 1540--1546
L. K. Pandit and
N. Mukunda Algebraic Tabulation of the
Clebsch--Gordan Coefficients for
Reduction of the Product $(\lambda, \mu)
\oplus (3, 0)$ of Irreducible
Representations of ${\rm SU}(3)$ . . . . 1547--1557
M. C. Pease Formalization of the Lagrangian, the
Hamiltonian, and Related Concepts . . . 1558--1563
Jean-Marc Lévy-Leblond and
François Lurçat $N$-Particle Kinematics and
Group-Theoretical Treatment of Phase
Space I. Nonrelativistic . . . . . . . . 1564--1570
Jean-Marc Lévy-Leblond and
Monique Lévy-Nahas Three-Particle Nonrelativistic
Kinematics and Phase Space . . . . . . . 1571--1575
Daniel Iagolnitzer $S$-Matrix Theory and Double Scattering 1576--1583
Jean-Robert Derome and
W. T. Sharp Racah Algebra for an Arbitrary Group . . 1584--1590
C. L. Hammer and
T. A. Weber Time-Dependent Perturbation Theory . . . 1591--1606
R. Penney On the Dimensionality of the Real World 1607--1611
Harry H. Denman Invariance and Conservation Laws in
Classical Mechanics . . . . . . . . . . 1611--1616
John G. Fikioris Electromagnetic Field inside a
Current-Carrying Region . . . . . . . . 1617--1620
A. J. Dragt Relativistic Three-Particle ${\rm SU}_3$
States . . . . . . . . . . . . . . . . . 1621--1625
S. Ò. Aks and
R. P. Gilbert and
H. C. Howard Analytic Properties of the Elastic
Unitarity Integral . . . . . . . . . . . 1626--1634
Heinz J. Rothe Crossing Symmetric Regge Representation
for the Invariant Scattering Amplitude 1635--1642
Michael E. Fisher Correlation Functions and the
Coexistence of Phases . . . . . . . . . 1643--1653
Harry Gelman and
Kurt Haller Alternative Formulations of Scattering
in Model Field Theories . . . . . . . . 1653--1663
Charles M. Chambers Higher-Dimensional Periodic Systems . . 1664--1666
John R. Klauder Rotationally-Symmetric Model Field
Theories . . . . . . . . . . . . . . . . 1666--1679
Joseph Shapiro Matrix Representation of the Angular
Momentum Projection Operator . . . . . . 1680--1691
E. A. Burke Solution of an Atomic Integral
Containing Three Odd Powers of
Interelectronic Separation Coordinates 1691--1695
John Boardman Contributions to the Quantization
Problem in General Relativity . . . . . 1696--1701
Michael M. Broido On the Complete Unitarity Equations for
Pion-Pion Scattering . . . . . . . . . . 1702--1708
W. H. Carnahan Threshold Regge Poles for Coupled
Channels . . . . . . . . . . . . . . . . 1709--1719
F. Catara and
M. Di Toro On the Bound-State Wavefunctions of a
Nonlocal Solvable Potential . . . . . . 1720--1722
Joseph C. Y. Chen On a Set of Coupled Second-Order
Differential Equations . . . . . . . . . 1723--1729
Henri Cornille and
Enrico Predazzi Singular Logarithmic Potentials in
Coordinate Space . . . . . . . . . . . . 1730--1740
Robert J. Hardy and
Robert J. Swenson and
William C. Schieve Perturbation Expansion for Lattice
Thermal Conductivity . . . . . . . . . . 1741--1748
Robert J. Hardy Lowest-Order Contribution to the Lattice
Thermal Conductivity . . . . . . . . . . 1749--1761
Klaus Hepp One-Particle Singularities of the
$S$-Matrix in Quantum Field Theory . . . 1762--1767
Robert Hermann Remarks on the Geometric Nature of
Quantum Phase Space . . . . . . . . . . 1768--1771
E. Kazes Solution of an Integral Equation in
$V$--$\theta$ Scattering . . . . . . . . 1772--1773
Y. Le Gaillard and
A. Visconti On the Structure of the Finite Parts of
the Generating Functional of Propagators
in Quantumelectrodynamics . . . . . . . 1774--1785
James D. Louck Group Theory of Harmonic Oscillators in
$n$-Dimensional Space . . . . . . . . . 1786--1804
Richard M. More New Variational Scheme for Finding the
Excited States of One-Dimensional
Systems . . . . . . . . . . . . . . . . 1804--1805
Ezra T. Newman and
T. W. J. Unti Note on the Dynamics of Gravitational
Sources . . . . . . . . . . . . . . . . 1806--1811
Colin J. Thompson Inequality with Applications in
Statistical Mechanics . . . . . . . . . 1812--1813
H. Unz Oblique Incidence on Plane Boundary
between Two General Gyrotropic Plasma
Media . . . . . . . . . . . . . . . . . 1813--1821
J. Voisin On the Unitary Representations of the
Galilei Group. II. Two-Particle Systems 1822--1832
C. C. Yan and
G. H. Wannier Observations on the Spherical Model of a
Ferromagnet . . . . . . . . . . . . . . 1833--1838
John M. Myers Wave Scattering and the Geometry of a
Strip . . . . . . . . . . . . . . . . . 1839--1846
G. E. Baird and
L. C. Biedenharn On the Representations of the Semisimple
Lie Groups. V. Some Explicit Wigner
Operators for ${\rm SU}_3$ . . . . . . . 1847--1854
D. Bergmann and
Y. Frishman A Relation between the Hydrogen Atom and
Multidimensional Harmonic Oscillators 1855--1856
R. M. Bevensee Quantum Electrodynamics of the
Stimulated Emission of Radiation. II . . 1857--1870
Leslie L. Foldy Cartesian Tensors in Spaces with an
Indefinite Metric with Applications to
Relativity . . . . . . . . . . . . . . . 1871--1876
S. Fujita Thermodynamic Evolution Equation for a
Quantum Statistical Gas . . . . . . . . 1877--1885
G. Källén and
J. S. Toll Momentum-Space Analyticity Properties of
the Bergman--Weil Integral for the Three
Point Function . . . . . . . . . . . . . 1885--1901
Joseph W. Kane and
Leo P. Kadanoff Green's Functions and Superfluid
Hydrodynamics . . . . . . . . . . . . . 1902--1912
Yutaka Kano A New Phase-Space Distribution Function
in the Statistical Theory of the
Electromagnetic Field . . . . . . . . . 1913--1915
Shigetoshi Katsura and
Sakari Inawashiro An Exactly Soluble Model Showing
Ferromagnetism . . . . . . . . . . . . . 1916--1922
Kailash Kumar Expansion of a Function of Noncommuting
Operators . . . . . . . . . . . . . . . 1923--1927
Kailash Kumar On Expanding the Exponential . . . . . . 1928--1934
C. D. Maldonado Note on Orthogonal Polynomials which are
``Invariant in Form'' to Rotations of
Axes . . . . . . . . . . . . . . . . . . 1935--1938
N. J. McCormick and
I. Kuscer Half-Space Neutron Transport with
Linearly Anisotropic Scattering . . . . 1939--1945
Ali Hasan Nayfeh An Expansion Method for Treating
Singular Perturbation Problems . . . . . 1946--1951
R. F. O'Connell and
D. R. Tompkins Generalized Solutions for Massless Free
Fields and Consequent Generalized
Conservation Laws . . . . . . . . . . . 1952--1954
Bengt Petersson Reduction of a One-Loop Feynman Diagram
with $n$ Vertices in $m$-Dimensional
Lorentz Space . . . . . . . . . . . . . 1955--1959
J. C. Polkinghorne The Froissart--Gribov Continuation and
Reggeon Unitarity Conditions. I . . . . 1960--1966
Eugene W. Urban Critical Störmer Conditions in Quadrupole
and Double Ring-Current Fields . . . . . 1966--1975
S. Teitler Isotopic Space, Complex Conjugation, and
U$_3$ Symmetry for Particles . . . . . . 1976--1979
T. A. Weber and
S. A. Williams Spin-Matrix Polynomials and the Rotation
Operator for Arbitrary Spin . . . . . . 1980--1983
Charles R. Willis A Model of Interacting Radiation and
Matter. II . . . . . . . . . . . . . . . 1984--1994
M. Wyman and
R. Trollope Null Fields in Einstein--Maxwell Field
Theory . . . . . . . . . . . . . . . . . 1995--2007
C. Yeh Perturbation Method in the Diffraction
of Electromagnetic Waves by Arbitrarily
Shaped Penetrable Obstacles . . . . . . 2008--2013
Sidney Coleman Erratum: The Clebsch--Gordan Series for
${\rm SU}(3)$ . . . . . . . . . . . . . 2014--2014
H. E. Moses Erratum: ``Transformation from a Linear
Momentum to an Angular Momentum Basis
for Particles of Zero Mass and Finite
Spin'' . . . . . . . . . . . . . . . . . 2014--2014
H. H. Aly and
H. J. W. Müller Scattering by the Singular Potential
r$^{-4}$ . . . . . . . . . . . . . . . . 1--9
K. Bardakci and
B. Schroer Local Approximation in Renormalizable
and Nonrenormalizable Theories. I . . . 10--15
K. Bardakci and
B. Schroer Local Approximations in Renormalizable
and Nonrenormalizable Theories. II . . . 16--26
Yau W. Chan On Series Expansion of a Determinant and
Solution of the Secular Equation . . . . 27--34
P. C. Hemmer and
E. Hiis Hauge and
J. O. Aasen Distribution of Zeros of the Grand
Partition Function . . . . . . . . . . . 35--39
J. S. R. Chisholm Approximation by Sequences of Padé
Approximants in Regions of Meromorphy 39--44
A. Das Complex Space--time and Classical Field
Theory. I . . . . . . . . . . . . . . . 45--51
A. Das The Quantized Complex Space--time and
Quantum Theory of Free Fields. II . . . 52--60
A. Das Complex Space--time and Geometrization
of Electromagnetism. III . . . . . . . . 61--63
J. Dilley and
A. O. Barut Asymptotic Behavior of the Scattering
Amplitude in the Left Half-Plane of
Complex Angular Momentum . . . . . . . . 64--65
James C. T. Pool Mathematical Aspects of the Weyl
Correspondence . . . . . . . . . . . . . 66--76
Gordon N. Fleming Physical Region Decoupling Procedure for
Coupled Channel Scattering Amplitudes 76--80
C. A. Hurst Relation between the Onsager and
Pfaffian Methods for Solving the Ising
Problem. II. The General Lattice . . . . 81--87
B. Jaksi\'c and
N. Limi\'c Asymptotic Behavior of Phase Shift in
$\lambda$ for Strongly Singular
Potentials . . . . . . . . . . . . . . . 88--97
J. L. Lebowitz and
O. Penrose Rigorous Treatment of the van der
Waals--Maxwell Theory of the
Liquid-Vapor Transition . . . . . . . . 98--113
K. H. Mariwalla Representation of Discrete Symmetry
Operators . . . . . . . . . . . . . . . 114--122
J. B. McGuire Interacting Fermions in One Dimension.
II. Attractive Potential . . . . . . . . 123--132
C. L. Mehta and
E. Wolf and
A. P. Balachandran Some Theorems on the Unimodular Complex
Degree of Optical Coherence . . . . . . 133--138
Maria Miasek Application of Houston's Method to the
Sum of Plane Waves over the Brillouin
Zone. I. Simple-Cubic and
Face-Centered-Cubic Lattices . . . . . . 139--147
Jan Lopuszanski and
Helmut Reeh On a Quantum Field Theory with
Degenerate Vacuum and a Special Type of
Symmetry . . . . . . . . . . . . . . . . 148--154
M. Misra Some Exact Solutions of the Field
Equations of General Relativity . . . . 155--158
Leonard M. Scarfone Lehmann--Symanzik--Zimmermann Formalism
in a Model Field Theory . . . . . . . . 159--162
David Shelupsky Translations of the Discrete
Bose--Einstein Operators . . . . . . . . 163--166
Ernest E. H. Shin Space--time Theory of Elementary
Particles. I. Born Reciprocity Principle 167--173
Ernest E. H. Shin Space--time Theory of Elementary
Particles. II. Complex Minkowski Space
Formalism . . . . . . . . . . . . . . . 174--180
John R. Taylor Spin and Isospin in $S$-Matrix Theory 181--196
Yrjö Ahmavaara Structure of Space and the Formalism of
Relativistic Quantum Theory. III . . . . 197--201
Yrjö Ahmavaara Structure of Space and the Formalism of
Relativistic Quantum Theory. IV . . . . 201--204
J. A. Castilho Alcarás and
V. C. Aguilera Navarro and
P. Leal Ferreira Applications of the Gel'fand--Moshinsky
Bases in Unitary Symmetry and its
Breaking . . . . . . . . . . . . . . . . 205--214
Victor A. Alessandrini Faddeev-Type Equations for the Four-Body
Problem . . . . . . . . . . . . . . . . 215--220
Raphael Aronson and
David Leon Yarmush Transfer-Matrix Method for Gamma-Ray and
Neutron Penetration . . . . . . . . . . 221--237
Dieter R. Brill and
Jeffrey M. Cohen Cartan Frames and the General
Relativistic Dirac Equation . . . . . . 238--243
Leon Cohen Expansion Theorem for Functions of
Operators . . . . . . . . . . . . . . . 244--245
H. Cohen and
C. N. DeSilva Nonlinear Theory of Elastic Surfaces . . 246--253
Leopoldo S. García-Colín and
Asdrúbal Flores The Generalization of Choh--Uhlenbeck's
Method in the Kinetic Theory of Dense
Gases . . . . . . . . . . . . . . . . . 254--259
Michael E. Fisher and
David Ruelle The Stability of Many-Particle Systems 260--270
Marcel Guenin Axiomatic Foundations of Quantum
Theories . . . . . . . . . . . . . . . . 271--282
H. Harari On the Reduction of Direct Products of
the Irreducible Representations of ${\rm
SU}(n)$ . . . . . . . . . . . . . . . . 283--285
Robert E. Hartwig Monomer Pair Correlations . . . . . . . 286--299
W. Hunziker On the Space--time Behavior of
Schrödinger Wavefunctions . . . . . . . . 300--304
C. A. Hurst New Approach to the Ising Problem . . . 305--310
C. Edward Jones and
George Tiktopoulos Numerical Solution of Non-Fredholm
(Singular) Integral Equations by Matrix
Inversion . . . . . . . . . . . . . . . 311--315
C. Lanczos Metrical Lattice and the Problem of
Electricity . . . . . . . . . . . . . . 316--324
Peter M. Livingston Methods of Quadrature for Euler
Transform Integrals . . . . . . . . . . 325--333
M. A. Melvin and
J. S. Wallingford Orbits in a Magnetic Universe . . . . . 333--340
M. L. Mehta and
P. K. Srivastava Correlation Functions for Eigenvalues of
Real Quaternian Matrices . . . . . . . . 341--344
M. R. Mendelson First-Order Solutions of the One-Speed
Transport Equation in Plane Multiregion
Geometries . . . . . . . . . . . . . . . 345--355
Antonio Pagnamenta $V \Theta$-Bound State and Uniqueness in
the Three-Particle Sector of the Lee
Model . . . . . . . . . . . . . . . . . 356--365
M. Pauri and
G. M. Prosperi Canonical Realizations of Lie Symmetry
Groups . . . . . . . . . . . . . . . . . 366--375
Robert E. Pugh $S$-Operator Theory. II. Quantum
Electrodynamics . . . . . . . . . . . . 376--384
R. J. Rivers Gauge Approximations in Mesodynamics . . 385--394
Ralph Roskies Internal Symmetry and Mass Splitting . . 395--398
John Waters and
Joseph Ford A Method of Solution for Resonant
Nonlinear Coupled Oscillator Systems . . 399--403
Charles R. Willis Model of Interacting Radiation and
Matter. III. Multimode Gas Lasers . . . 404--412
Norman W. Bazley and
David W. Fox Error Bounds for Approximations to
Expectation Values of Unbounded
Operators . . . . . . . . . . . . . . . 413--416
Edmund H. Brown On the Complex Structure of the Universe 417--425
A. Chakrabarti On the $L$--$S$ Basis of the Poincaré
Group for the Case of Nonzero Rest Mass 426--430
R. P. Gilbert and
S. Y. Shieh A New Method in the Theory of Potential
Scattering . . . . . . . . . . . . . . . 431--433
Haim Goldberg On the Coupling and Recoupling of
Relativistic States . . . . . . . . . . 434--442
R. Kantowski and
R. K. Sachs Some Spatially Homogeneous Anisotropic
Relativistic Cosmological Models . . . . 443--446
Bruria Kaufman Special Functions of Mathematical
Physics from the Viewpoint of Lie
Algebra . . . . . . . . . . . . . . . . 447--457
D. J. Lamb Multipole Moments in Einstein's
Gravitational Theory . . . . . . . . . . 458--463
J. E. Moyal A General Theory of First-Passage
Distributions in Transport and
Multiplicative Processes . . . . . . . . 464--473
Herbert Payne Approximate Solution of Hill's Equation 474--478
R. Penney Geometrization of a Complex Scalar
Field. I. Algebra . . . . . . . . . . . 479--481
F. Rohrlich and
M. Wilner Functional Differential Calculus of
Operators. II . . . . . . . . . . . . . 482--493
Helmut Schmidt Model of an Oscillating Cosmos which
Rejuvenates during Contraction . . . . . 494--509
K. Symanzik Euclidean Quantum Field Theory. I.
Equations for a Scalar Model . . . . . . 510--525
L. N. Tao On Variational Principles for
Electromagnetic Theory . . . . . . . . . 526--530
Colin J. Thompson Phase Transition of a Two-Dimensional
Continuum-Ising Model . . . . . . . . . 531--534
T. W. J. Unti and
R. J. Torrence Theorem on Gravitational Fields with
Geodesic Rays . . . . . . . . . . . . . 535--538
Klaus Ruedenberg and
Kiyosi O-Ohata and
D. G. Wilson Overlap Integrals between Atomic
Orbitals . . . . . . . . . . . . . . . . 539--546
Kiyosi O-Ohata and
Klaus Ruedenberg Two-Center Coulomb Integrals between
Atomic Orbitals . . . . . . . . . . . . 547--559
Jan Tarski Solution of the Bloch--Nordsieck Model 560--573
Daniel A. Dubin and
Jan Tarski Indefinite Metric Resulting from
Regularization in the Infrared Region 574--577
F. M. Eger and
E. P. Gross Point Transformations and the
Hard-Sphere Bose Gas . . . . . . . . . . 578--582
H. M. Fried Functional Formulation of the Lee Model 583--588
Raphael Aronson A Perturbation Method for the Classical
Time-Dependent Pair Correlation Function 589--602
J. F. Boyce Asymptotic Renormalizability Conditions
on Field Propagators . . . . . . . . . . 603--607
C. D. Collinson Empty Space--times of Embedding Class
Two . . . . . . . . . . . . . . . . . . 608--611
Jean-Robert Derome Symmetry Properties of the
$3$$j$-Symbols for an Arbitrary Group 612--615
Hugh E. DeWitt Statistical Mechanics of
High-Temperature Quantum Plasmas Beyond
the Ring Approximation . . . . . . . . . 616--626
William F. Ford Limiting Forms of the Screened Coulomb
$T$ Matrix . . . . . . . . . . . . . . . 626--633
Kenneth D. Granzow Multipole Theory in the Time Domain . . 634--640
M. G. Gundzik A Continuous Representation of an
Indefinite Metric Space . . . . . . . . 641--651
Jamal N. Islam Leading Landau Curves of a Class of
Feynman Diagrams . . . . . . . . . . . . 652--660
Joseph B. Keller and
Frank C. Karal Effective Dielectric Constant,
Permeability, and Conductivity of a
Random Medium and the Velocity and
Attenuation Coefficient of Coherent
Waves . . . . . . . . . . . . . . . . . 661--670
Kailash Kumar Talmi Transformation for Unequal-Mass
Particles and Related Formulas . . . . . 671--678
A. Minguzzi Analyticity Properties of the Scattering
Amplitude . . . . . . . . . . . . . . . 679--681
Chanchal K. Majumdar Continuity of Bound and Unbound States
in a Fermi Gas: A Soluble Example . . . 682--690
M. Moshinsky Gelfand States and the Irreducible
Representations of the Symmetric Group 691--698
Noboru Nakanishi Poles of the Proper Vertex Function in
the Bethe--Salpeter Formalism . . . . . 698--701
Per O. M. Olsson Analytic Continuations of Higher-Order
Hypergeometric Functions . . . . . . . . 702--710
R. D. Poshusta and
F. A. Matsen Permutation-Algebraic Formulation of
Spin-Free Transition Density Matrices 711--720
Tatuya Sasakawa Solution of Schrödinger Equation
Involving Time . . . . . . . . . . . . . 721--741
Arnold J. F. Siegert and
Emmanuel Meeron Generalizations of the Virial and Wall
Theorems in Classical Statistical
Mechanics . . . . . . . . . . . . . . . 741--750
Peter Szekeres On the Propagation of Gravitational
Fields in Matter . . . . . . . . . . . . 751--761
Nazakat Ullah Asymptotic Correlations of the
Hamiltonian Matrix Elements . . . . . . 762--764
Jonas Stasys Zmuidzinas Unitary Representations of the Lorentz
Group on $4$-Vector Manifolds . . . . . 764--780
Leon Cohen Generalized Phase-Space Distribution
Functions . . . . . . . . . . . . . . . 781--786
Sidney Coleman The Invariance of the Vacuum is the
Invariance of the World . . . . . . . . 787--787
George Contopoulos Adiabatic Invariants and the ``Third''
Integral . . . . . . . . . . . . . . . . 788--797
Hugh De Witt and
Paul Fishbane Failure of the Mayer Irreducible Cluster
Theorem with Wave Mechanics . . . . . . 798--801
John Day Dollard Adiabatic Switching in the Schrödinger
Theory of Scattering . . . . . . . . . . 802--810
D. B. Fairlie Structure of the Crossing Matrix for
Arbitrary Internal Symmetry Groups . . . 811--815
J. Fischer and
J. Niederle and
R. Raczka Generalized Spherical Functions for the
Noncompact Rotation Groups . . . . . . . 816--821
J. R. Klauder and
J. McKenna and
E. J. Woods Direct-Product Representations of the
Canonical Commutation Relations . . . . 822--828
J. H. Marburger Conditions for the Existence of Closed
Solutions by the Normal Ordering Method 829--832
Janusz Mika The Initial-Value Problem for a Slab. I.
Anisotropic Scattering . . . . . . . . . 833--838
Janusz Mika The Initial-Value Problem for a Slab.
II. Nonuniform Slab . . . . . . . . . . 839--843
Richard A. Morrow The Physical Regions of Many-Particle
Processes . . . . . . . . . . . . . . . 844--848
N. Mukunda and
T. F. Jordan Determination of Optical Field
Correlations from Photon Counts . . . . 849--853
M. V. Murthy Ray Representations of Finite Nonunitary
Groups . . . . . . . . . . . . . . . . . 853--857
I. J. Muzinich The Implications of Unitarity on
Possible Higher Symmetries . . . . . . . 858--862
E. T. Newman and
R. Penrose Note on the Bondi--Metzner--Sachs Group 863--870
E. A. Remler Spectrum of the S Operator . . . . . . . 871--874
Jonathan L. Rosner Exchange of Massive Particles in the
Bethe--Salpeter Equation . . . . . . . . 875--884
D. A. Uhlenbrock Properties of Quantum Statistical
Expectation Values . . . . . . . . . . . 885--893
Hugo D. Wahlquist and
Frank B. Estabrook Rigid Motions in Einstein Spaces . . . . 894--905
Luciano Fonda and
Gian' Carlo Ghirardi Determination of the Parameters of Model
Field Theories from Phase Shifts and
Bound-States Energies . . . . . . . . . 906--915
Gérard Emch and
Marcel Guenin Gauge Invariant Formulation of the BCS
Model . . . . . . . . . . . . . . . . . 915--921
Robert A. Piccirelli Some Properties of the Long-Time Values
of the Probability Densities for
Moderately Dense Gases . . . . . . . . . 922--934
P. Rudra On Irreducible Tensor Operators for
Finite Groups . . . . . . . . . . . . . 935--937
Leonard Eyges Improved Method for Quantum Mechanical
Three-Body Problems. II. Repulsive
Potentials . . . . . . . . . . . . . . . 938--948
A. Chakrabarti Unified Unitary Representation of the
Poincaré Group for Particles of Zero and
Positive Rest Mass . . . . . . . . . . . 949--955
H. Barry Bebb Generalized Discrete-Continuum Radial
Integrals with Coulomb Functions . . . . 955--959
H. Cohen and
C. N. DeSilva Nonlinear Theory of Elastic Directed
Surfaces . . . . . . . . . . . . . . . . 960--966
Douglas G. Currie and
Eugene J. Saletan $q$-Equivalent Particle Hamiltonians. I.
The Classical One-Dimensional Case . . . 967--974
W. R. Davis and
M. K. Moss On the Development of the Covariant
Formulation of the Conservation Laws of
General Relativity . . . . . . . . . . . 975--976
Harold Falk Upper and Lower Bounds for Canonical
Ensemble Averages . . . . . . . . . . . 977--979
Claude George and
Monique Lévy-Nahas Finite-Dimensional Representations of
Some Non-Semisimple Lie Algebras . . . . 980--988
C. R. Hagen Higher-Order Poles in the $S$-Matrix . . 989--990
Richard L. Liboff Dynamics of Certain Spherical Charge
Distributions . . . . . . . . . . . . . 991--997
Martin Kummer The Most General Clebsch--Gordan
Coefficients of the Universal Covering
Group of the Inhomogeneous Lorentz Group 997--1015
Elliott Lieb Quantum-Mechanical Extension of the
Lebowitz--Penrose Theorem on the van der
Waals Theory . . . . . . . . . . . . . . 1016--1024
S. C. Maitra Stationary Dust-Filled Cosmological
Solution with $\Lambda = 0$ and without
Closed Timelike Lines . . . . . . . . . 1025--1030
D. J. McGuinness Nonhomogeneous Differential Equation
with a Second-Order Turning Point . . . 1030--1037
N. David Mermin A Short Simple Evaluation of Expressions
of the Debye--Waller Form . . . . . . . 1038--1038
Tohru Morita Derivation of the Generalized Boltzmann
Equation in Quantum Statistical
Mechanics . . . . . . . . . . . . . . . 1039--1045
S. Nussinov Theorem on the Clebsch--Gordan Series in
${\rm SU}(n)$ . . . . . . . . . . . . . 1046--1048
W. F. Parks On Alternate Commutation Relations . . . 1049--1053
Eduard Prugovecki An Axiomatic Approach to the Formalism
of Quantum Mechanics. I. . . . . . . . . 1054--1069
Eduard Prugovecki An Axiomatic Approach to the Formalism
of Quantum Mechanics. II. . . . . . . . 1070--1096
J. E. Roberts The Dirac Bra and Ket Formalism . . . . 1097--1104
R. T. Sharp and
Hans Von Baeyer Polynomial Bases and Isoscalar Factors
for ${\rm SU}(3)$ . . . . . . . . . . . 1105--1122
John Stephenson Ising Model Spin Correlations on the
Triangular Lattice. II. Fourth-Order
Correlations . . . . . . . . . . . . . . 1123--1132
F. J. Ynduráin $S$-Matrix Formalism, Charge
Renormalization, and Definition of the
Hamiltonian in a Simple
Field-Theoretical Model . . . . . . . . 1133--1136
David M. Zipoy Topology of Some Spheroidal Metrics . . 1137--1143
G. E. Backus and
F. Gilbert Note on Product Integrals . . . . . . . 1144--1144
C. J. Bradley Space Groups and Selection Rules . . . . 1145--1152
Willard R. Chappell Kinetic Equation for the Electron-Phonon
Gas . . . . . . . . . . . . . . . . . . 1153--1157
Yutze Chow Majorization of Feynman Graphs . . . . . 1158--1170
W. J. Cocke Some Collapsing Cylinders and their
Exterior Vacuum Metrics in General
Relativity . . . . . . . . . . . . . . . 1171--1178
Philippe H. Droz-Vincent Covariant Conservation Laws for General
Relativistic Exploding Matter . . . . . 1179--1184
J. R. Ellis Electromagnetic Fields of Moving Dipoles
and Multipoles . . . . . . . . . . . . . 1185--1197
Gérard G. Emch Non-Markovian Model for the Approach to
Equilibrium . . . . . . . . . . . . . . 1198--1206
Erasmo M. Ferreira and
Antonio F. F. Teixeira On the Poles of the S Matrix for
Long-Range Potentials . . . . . . . . . 1207--1217
David Finkelstein Kinks . . . . . . . . . . . . . . . . . 1218--1225
Martin B. Halpern Solution of very Singular $N / D$
Equations --- An Approach to
Nonrenormalizable Field Theory . . . . . 1226--1250
Arthur Jaffe Wick Polynomials at a Fixed Time . . . . 1250--1255
Martin D. Kruskal and
Norman J. Zabusky Exact Invariants for a Class of
Nonlinear Wave Equations . . . . . . . . 1256--1267
A. Lenard One-Dimensional Impenetrable Bosons in
Thermal Equilibrium . . . . . . . . . . 1268--1272
P. Roman and
J. J. Aghassi Classical Field Theory and Gravitation
in a de Sitter World . . . . . . . . . . 1273--1283
Gerald Rosen Unitary Irreducible Representations of
${\rm SL}(3, R)$ . . . . . . . . . . . . 1284--1294
Paul W. Schmidt Small-Angle X-Ray Scattering from Rods
and Platelets . . . . . . . . . . . . . 1295--1300
J. Sesma On the Chakrabarti Transformation . . . 1300--1302
Bohdan Shepelavey Global Covariant Conservation Laws in
Riemannian Spaces. I . . . . . . . . . . 1303--1309
Bohdan Shepelavey Global Covariant Conservation Laws in
Riemannian Spaces. II . . . . . . . . . 1310--1320
John J. Stachel Cylindrical Gravitational News . . . . . 1321--1331
C. D. Taylor On the Motion of Electrons Scattered
from an Infinite Slab . . . . . . . . . 1332--1334
J. A. Tjon A Note on the Quantum Theory of
Electrical Conductivity . . . . . . . . 1335--1336
Seymour J. Wolfson A Closed Form for Elsasser Integrals . . 1337--1339
M. L. Glasser Erratum: ``Note on the Evaluation of
Some Fermi Integrals'' . . . . . . . . . 1340--1340
John G. Taylor Erratum: ``On Polynomial Systems in a
Banach Ring'' . . . . . . . . . . . . . 1340--1340
Richard Arens Laws like Newton's . . . . . . . . . . . 1341--1348
Bruno Bertotti Doppler Measurement of Space--time
Curvature . . . . . . . . . . . . . . . 1349--1350
J. B. Bronzan A Two-Meson Solution of the Charged
Scalar Static Model . . . . . . . . . . 1351--1361
Vittorio Cantoni A Class of Representations of the
Generalized Bondi--Metzner Group . . . . 1361--1364
T. W. Chen and
F. Rohrlich and
M. Wilner Role of Causality in Quantum Field
Theory and the Dynamical Postulate . . . 1365--1371
Giacomo Della Riccia and
Norbert Wiener Wave Mechanics in Classical Phase Space,
Brownian Motion, and Quantum Theory . . 1372--1383
Jacques Des Cloizeaux and
Michel Gaudin Anisotropic Linear Magnetic Chain . . . 1384--1400
Victor A. Dulock and
Harold V. McIntosh Degeneracy of Cyclotron Motion . . . . . 1401--1412
Gérard G. Emch The Definition of States in Quantum
Statistical Mechanics . . . . . . . . . 1413--1420
Lee M. Frantz Wave-Packet Derivation of
Field-Theoretic Scattering Amplitude . . 1421--1435
Robert J. Hardy Concise Derivation of the Formulas for
Lattice Thermal Conductivity . . . . . . 1435--1438
Robert J. Hardy and
William C. Schieve Higher-Order Corrections to the Lattice
Thermal Conductivity . . . . . . . . . . 1439--1452
Tudor Wyatt Johnston General Spherical Harmonic Tensors in
the Boltzmann Equation . . . . . . . . . 1453--1458
N. Karayianis and
C. A. Morrison and
D. E. Wortman Exact Solutions for a Semi-Infinite
Square Lattice Gas . . . . . . . . . . . 1458--1463
P. V. Landshoff and
D. I. Olive Extraction of Singularities from the S
Matrix . . . . . . . . . . . . . . . . . 1464--1477
D. Lurié and
Y. Takahashi and
H. Umezawa Generalized Ward Identity and Unified
Treatment of Conservation Laws . . . . . 1478--1483
J. F. Nagle Lattice Statistics of Hydrogen Bonded
Crystals. I. The Residual Entropy of Ice 1484--1491
J. F. Nagle Lattice Statistics of Hydrogen Bonded
Crystals. II. The Slater KDP Model and
the Rys $F$-Model . . . . . . . . . . . 1492--1496
H. H. Nickle Nonrelativistic Quantum Theory of an
Electron in an Arbitrarily Intense Laser
Field . . . . . . . . . . . . . . . . . 1497--1506
G. V. Ramanathan A New Cluster Scheme in Statistical
Physics . . . . . . . . . . . . . . . . 1507--1514
Pierre C. Sabatier Asymptotic Properties of the Potentials
in the Inverse-Scattering Problem at
Fixed Energy . . . . . . . . . . . . . . 1515--1531
G. Stell and
J. L. Lebowitz and
S. Baer and
W. Theumann Separation of the Interaction Potential
into Two Parts in Statistical Mechanics.
II. Graph Theory for Lattice Gases and
Spin Systems with Application to Systems
with Long-Range Potentials . . . . . . . 1532--1547
F. Zaccaria A Theorem on the Clebsch--Gordan Series
in A ( l ), B ( l ), C ( l ), and D ( l
) . . . . . . . . . . . . . . . . . . . 1548--1551
Robert Zwanzig Probability and Entropy of Macroscopic
Fluctuations . . . . . . . . . . . . . . 1552--1556
M. F. Sykes and
J. W. Essam and
B. R. Heap and
B. J. Hiley Lattice Constant Systems and Graph
Theory . . . . . . . . . . . . . . . . . 1557--1572
J. W. Essam and
M. F. Sykes Percolation Processes. I. Low-Density
Expansion for the Mean Number of
Clusters in a Random Mixture . . . . . . 1573--1581
B. R. Heap The Enumeration of Homeomorphically
Irreducible Star Graphs . . . . . . . . 1582--1587
John F. Nagle On Ordering and Identifying Undirected
Linear Graphs . . . . . . . . . . . . . 1588--1592
P. V. Landshoff and
D. I. Olive and
J. C. Polkinghorne Normal Thresholds in Subenergy Variables 1593--1599
P. V. Landshoff and
D. I. Olive and
J. C. Polkinghorne The Icecream-Cone Singularity in
$S$-Matrix Theory . . . . . . . . . . . 1600--1606
D. Atkinson Existence of Solutions of $N / D$
Equations . . . . . . . . . . . . . . . 1607--1612
F. A. Blood The $r$-Particle Distribution Function
in Classical Physics . . . . . . . . . . 1613--1619
L. W. Bruch $N$ Degenerate Modes . . . . . . . . . . 1620--1624
David L. Farnsworth and
Roy P. Kerr Homogeneous Dust-Filled Cosmological
Solutions . . . . . . . . . . . . . . . 1625--1632
R. Finkelstein On Quantization in Space with Torsion 1632--1642
L. Fonda and
G. C. Ghirardi and
T. Weber and
A. Rimini Analytic Properties of Resolvents and
Completeness . . . . . . . . . . . . . . 1643--1647
Albert C. Giere Relativistic Hydromagnetic Waves and
Group Velocity . . . . . . . . . . . . . 1648--1656
A. L. Licht Local States . . . . . . . . . . . . . . 1656--1669
S. Nussinov and
J. Rosner Absorptive Parts and the Bethe--Salpeter
Equation for Forward Scattering . . . . 1670--1679
Eduard Prugovecki A Formalism for Generalized Quantum
Mechanics . . . . . . . . . . . . . . . 1680--1696
F. Rohrlich and
J. G. Wray Ordering Theorems . . . . . . . . . . . 1697--1706
H. Scharfstein Algebraic Aspects of Trilinear
Commutation Relations . . . . . . . . . 1707--1719
J. G. Taylor On the Existence of Field Theory. I. The
Analytic Approach . . . . . . . . . . . 1720--1729
S. Teitler The Structure of $4$-Spinors . . . . . . 1730--1738
S. Teitler Lorentz Equivalence, Unitary Symmetry,
and Spin Unitary Symmetry . . . . . . . 1739--1743
Nelly Ullman and
Robert Ullman Numerical Solutions of Singular Fredholm
Equations . . . . . . . . . . . . . . . 1743--1748
J. B. Boyling Construction of Vanishing Cycles for
Integrals over Hyperspheres . . . . . . 1749--1763
J. Devooght Variation of Green's Functions . . . . . 1764--1770
James E. Faulkner The Existence of Closed Magnetic
Surfaces . . . . . . . . . . . . . . . . 1771--1775
Michael E. Fisher On the Dimer Solution of Planar Ising
Models . . . . . . . . . . . . . . . . . 1776--1781
J. V. Greenman High-Energy Behavior of Feynman
Integrals with Spin. I . . . . . . . . . 1782--1796
B. Gruber On an Algebraic Method for the
Decomposition of Direct Products of
Representations of the Groups $A_2({\rm
SU}(3))$ and ${\rm B}_2({\rm SO}(5))$ 1797--1801
Amnon Katz Scattering Cross Section for a Beam of
Wave Packets . . . . . . . . . . . . . . 1802--1805
Donald H. Kobe Linked Cluster Theorem and the Green's
Function Equations of Motion for a
Many-Fermion System . . . . . . . . . . 1806--1820
Jan Lopuszanski and
Helmut Reeh A Remark on a Reducible Quantum Field
Theory with a One-Parameter Symmetry
Group . . . . . . . . . . . . . . . . . 1821--1823
M. L. Mehta Classification of Irreducible Unitary
Representations of Compact Simple Lie
Groups. I . . . . . . . . . . . . . . . 1824--1832
M. L. Mehta and
P. K. Srivastava Classification of Irreducible Unitary
Representations of Compact Simple Lie
Groups. II . . . . . . . . . . . . . . . 1833--1835
R. M. Misra and
R. A. Singh Three-Dimensional Formulation of
Gravitational Null Fields. I . . . . . . 1836--1840
Reikichi Nozawa Bipolar Expansion of Screened Coulomb
Potentials, Helmholtz' Solid Harmonics,
and their Addition Theorems . . . . . . 1841--1860
R. Raczka and
N. Limi\'c and
J. Niederle Discrete Degenerate Representations of
Noncompact Rotation Groups. I . . . . . 1861--1876
Robert J. Rubin and
Pieter Ullersma The Momentum Autocorrelation Function in
a Bernoulli Chain . . . . . . . . . . . 1877--1885
T. S. Santhanam Some Remarks on the Construction of
Invariants of Semisimple Local Lie
Groups . . . . . . . . . . . . . . . . . 1886--1888
C. Abraham Transformation of Proca-Type System of
Partial Differential Equations . . . . . 1889--1890
Lloyd Armstrong Relativistic Effects in Atomic Fine
Structure . . . . . . . . . . . . . . . 1891--1899
George A. Baker and
Roy Chisholm The Validity of Perturbation Series with
Zero Radius of Convergence . . . . . . . 1900--1902
A. O. Barut and
S. Komy Unitary and Antiunitary Ray
Representations of the Product of n
Commuting Parity Operators . . . . . . . 1903--1907
A. O. Barut On Irreducible Representation of a Class
of Algebras and Related Projective
Representations . . . . . . . . . . . . 1908--1910
Harry H. Denman Invariance and Conservation Laws in
Classical Mechanics. II . . . . . . . . 1910--1915
David S. De Young Relativistic Spinor Formulation of
Stokes Parameters with Application to
the Inverse Compton Effect . . . . . . . 1916--1923
G. Flamand The Solution of a Stark-Effect Model as
a Dynamical Group Calculation . . . . . 1924--1931
Moshé Flato and
Daniel Sternheimer On the Connection between External and
Internal Symmetries of Strongly
Interacting Particles . . . . . . . . . 1932--1958
Gordon N. Fleming A Manifestly Covariant Description of
Arbitrary Dynamical Variables in
Relativistic Quantum Mechanics . . . . . 1959--1981
R. Handelsman and
R. M. Lewis The Asymptotic Theory of Cerenkov
Radiation . . . . . . . . . . . . . . . 1982--1999
Gerald L. Jones Complex Temperatures and Phase
Transitions . . . . . . . . . . . . . . 2000--2005
Thomas F. Jordan Characterizing Coherent States of the
Radiation Field . . . . . . . . . . . . 2006--2008
C. Kacser The Discontinuities of the Triangle
Graph as a Function of an Internal Mass.
II . . . . . . . . . . . . . . . . . . . 2008--2025
N. Limi\'c and
J. Niederle and
R. Raczka Continuous Degenerate Representations of
Noncompact Rotation Groups. II . . . . . 2026--2035
N. J. McCormick and
I. Kuscer Bi-Orthogonality Relations for Solving
Half-Space Transport Problems . . . . . 2036--2045
Daniel C. Mattis and
Elliott H. Lieb Theory of Paramagnetic Impurities in
Semiconductors . . . . . . . . . . . . . 2045--2052
K. M. Mitzner Acoustic Scattering from an Interface
between Media of Greatly Different
Density . . . . . . . . . . . . . . . . 2053--2060
Peter D. Robinson Integral Forms for Quantum-Mechanical
Momentum Operators . . . . . . . . . . . 2060--2065
Gerald Rosen Existence of Particlelike Solutions to
Nonlinear Field Theories . . . . . . . . 2066--2070
Gerald Rosen Nonexistence of Localized Periodic
Solutions to Nonlinear Field Theories 2071--2071
Joe Rosen and
Paul Roman Some Observations on Enveloping Algebras
of Noncompact Groups . . . . . . . . . . 2072--2078
Pierre C. Sabatier Analytic Properties of a Class of
Potentials and the Corresponding Jost
Functions . . . . . . . . . . . . . . . 2079--2091
C. E. Siewert and
P. F. Zweifel Radiative Transfer. II . . . . . . . . . 2092--2102
Richard M. Spector A Theorem on Peratization of Singular
Potentials and Other Miscellanea . . . . 2103--2106
Eduard Prugovecki A Non-Hilbert-Space Formulation of
Quantum Field Theory . . . . . . . . . . 2107--2120
K. M. Case Singular Integral Equations . . . . . . 2121--2124
K. M. Case Singular Solutions of Certain Integral
Equations . . . . . . . . . . . . . . . 2125--2135
J. Des Cloizeaux A Soluble Fermi-Gas Model. Validity of
Transformations of the Bogoliubov Type 2136--2144
R. T. Compton The Time-Dependent Green's Function for
Electromagnetic Waves in Moving Simple
Media . . . . . . . . . . . . . . . . . 2145--2152
Edward A. Frieman and
Robert Goldman Propagation of Correlations in a
Boltzmann Gas . . . . . . . . . . . . . 2153--2170
William A. Gale Peratization of the Logarithmically
Singular Potential . . . . . . . . . . . 2171--2173
E. Gotsman and
Y. Ne'eman Algebraic Aspects of Regge Recurrences 2174--2177
Richard Grover Asymptotic Expansions of the Dirac
Density Matrix . . . . . . . . . . . . . 2178--2186
B. Robert Johnson and
Don Secrest The Solution of the Nonrelativistic
Quantum Scattering Problem without
Exchange . . . . . . . . . . . . . . . . 2187--2195
R. F. Keam Properties of a Causal Green's Function
for the Bethe--Salpeter Equation . . . . 2196--2210
A. Kuszell A New Derivation of the Kinetic Equation
for an Inhomogeneous Plasma . . . . . . 2211--2216
Jean-Marc Lévy-Leblond Global and Democratic Methods for
Classifying $N$-Particle States . . . . 2217--2229
J. C. Polkinghorne Hermitian Analyticity and $S$-Matrix
Singularity Structure . . . . . . . . . 2230--2234
Jacques Voisin Representations of the Homogeneous
Galilei Group in a Spherical Basis and
the Asymptotic Behavior of Relativistic
Special Functions . . . . . . . . . . . 2235--2237
George A. Baker Drum Shapes and Isospectral Graphs . . . 2238--2242
G. V. Chester and
J. Sykes Factorization Theorems . . . . . . . . . 2243--2250
G. V. Chester and
J. Sykes Relationship between Linear Response
Theory and the Boltzmann Equation for a
Weakly Interacting System of Electrons
and Phonons . . . . . . . . . . . . . . 2251--2260
G. Horwitz Statistical Mechanics of Finite Systems:
Asymptotic Expansions. I. Two Petit
Canonical Ensembles --- $(N, V, T)$ and
$(N, p, T)$ Systems . . . . . . . . . . 2261--2270
P. T. Landsberg and
D. J. Morgan A Class of Sum Rules with Application to
Nondegenerate Perturbation Theory . . . 2271--2277
C. K. Majumdar and
J. Zittartz Minimal Potentials for Schrödinger
Equation with Fixed Eigenvalue . . . . . 2278--2279
J. A. Castilho Alcarás and
V. C. Aguilera Navarro and
P. Leal Ferreira Erratum: ``Applications of
Gel'fand--Moshinsky Bases in Unitary
Symmetry and its Breaking'' . . . . . . 2280--2280
Kenneth D. Granzow Erratum: ``Multipole Theory in the Time
Domain'' . . . . . . . . . . . . . . . . 2280--2280
Michael M. Broido Certain Bootstraps and Related Equations 1--6
J. B. Bronzan Two-Meson Solution of the Charged Scalar
Static Model with Bound States . . . . . 6--12
Gérard G. Emch Common Interpretation of Phase
Transitions in Various Models . . . . . 13--18
Gérard G. Emch van der Waals Wiggles, Maxwell Rule, and
Temperature-Dependent Excitations . . . 19--25
J. V. Greenman High-Energy Behavior of Feynman
Integrals with Spin. II . . . . . . . . 26--36
Carl W. Helstrom Quasi-Classical Analysis of Coupled
Oscillators . . . . . . . . . . . . . . 37--42
Elliott H. Lieb Calculation of Exchange Second Virial
Coefficient of a Hard-Sphere Gas by Path
Integrals . . . . . . . . . . . . . . . 43--52
Morton D. Kostin and
Harvey Brooks Generalization of the Variational Method
of Kahan, Rideau, and Roussopoulos. II.
A Variational Principle for Linear
Operators and its Application to
Neutron-Transport Theory . . . . . . . . 53--56
Ronald Mirman Representations of Inhomogeneous ${\rm
SU}(n)$ Groups with Mixture of
Homogeneous and Inhomogeneous Operators
Diagonal . . . . . . . . . . . . . . . . 57--62
M. Resnikoff General Coupling Coefficients for the
Group ${\rm SU}(3)$ . . . . . . . . . . 63--79
M. Resnikoff Recoupling Coefficients for the Group
${\rm SU}(3)$ . . . . . . . . . . . . . 79--83
Carl E. Rosenkilde Surface-Energy Tensors . . . . . . . . . 84--88
Carl E. Rosenkilde Surface-Energy Tensors for Ellipsoids 88--97
Carl E. Rosenkilde Stability of Axisymmetric Figures of
Equilibrium of a Rotating Charged Liquid
Drop . . . . . . . . . . . . . . . . . . 98--118
G. E. Tauber Expanding Universe in Conformally Flat
Coordinates . . . . . . . . . . . . . . 118--123
Masuo Suzuki and
Bunjiro Tsujiyama and
Shigetoshi Katsura One-Dimensional Ising Model with General
Spin . . . . . . . . . . . . . . . . . . 124--130
Daniel L. Wenger Canonical Root Vectors of ${\rm SU}_n$ 131--135
Daniel L. Wenger Representation Functions of the Group of
Motions of Clifford Space . . . . . . . 135--140
R. P. Gilbert and
H. C. Howard Role of the Integral-Operator Method in
the Theory of Potential Scattering . . . 141--148
G. C. Pomraning Variational Principle for Eigenvalue
Equations . . . . . . . . . . . . . . . 149--158
Saul M. Bergmann Induced and Spontaneous Emission . . . . 159--169
N. T. Evans Discrete Series for the Universal
Covering Group of the $3 + 2$ de Sitter
Group . . . . . . . . . . . . . . . . . 170--184
D. B. Fairlie Structure of the Crossing Matrix for
Arbitrary Internal Symmetry Groups. II.
Matrices in ${\rm SU}(n)$ . . . . . . . 185--188
J. Foster and
E. T. Newman Note on the Robinson--Trautman Solutions 189--194
William M. Frank Point-Loop Renormalization in
Regularized Field Theories. I . . . . . 194--200
Robert Nyden Hill Instantaneous Action-at-a-Distance in
Classical Relativistic Mechanics . . . . 201--220
Iwao Hosokawa Functional Approach to Classical
Non-Equilibrium Statistical Mechanics 221--229
C. D. Maldonado Series Representation Method for
Obtaining the Emission Coefficient from
the Integrated Intensity Distribution
for Asymmetrical Light Sources . . . . . 230--239
J. B. McLeod and
R. S. B. Ong Relaxation to Equilibrium of a Dilute
Electron Plasma . . . . . . . . . . . . 240--247
C. H. Su Theory of the Linear Fokker--Planck
Collision Operator . . . . . . . . . . . 248--254
James L. Anderson and
Samuel Schiminovich Relations between Field-Plus Source and
Fokker-Type Action Principles . . . . . 255--264
Robert H. Boyer and
Richard W. Lindquist Maximal Analytic Extension of the Kerr
Metric . . . . . . . . . . . . . . . . . 265--281
J. R. Dorfman and
E. G. D. Cohen Difficulties in the Kinetic Theory of
Dense Gases . . . . . . . . . . . . . . 282--297
Willard R. Chappell Microscopic Approach to Kinetic Theory 298--305
Harvey S. Leff and
Michael H. Coopersmith Translational Invariance Properties of a
Finite One-Dimensional Hard-Core Fluid 306--314
Peter N. Dobson Temperateness of the Absorptive Part of
the Scattering Amplitude in the Proof of
Dispersion Relations . . . . . . . . . . 315--319
R. J. Eden Consistency Conditions on Models for
High-Energy Scattering . . . . . . . . . 320--325
István Ozsváth Homogeneous Lichnerowicz Universes . . . 326--344
R. Penrose Twistor Algebra . . . . . . . . . . . . 345--366
H. H. Aly and
H. J. W. Müller Singular Potentials and the Z = 0
Condition . . . . . . . . . . . . . . . 367--372
D. Atkinson and
M. B. Halpern Non-Usual Topologies on Space--time and
High-Energy Scattering . . . . . . . . . 373--387
Edwin D. Banta Modification of the Ehrenfest Model in
Statistical Mechanics . . . . . . . . . 387--388
M. D. Girardeau Thermodynamically Equivalent Hamiltonian
Method in Nonequilibrium Statistical
Mechanics . . . . . . . . . . . . . . . 389--399
Glen Baxter Local Weights Which Determine Area, and
the Ising Model . . . . . . . . . . . . 399--405
Herbert J. Bernstein New Characterization of the Ray
Representations of the Galilei Group . . 406--408
Ioannis M. Besieris Time-Dependent Green's Function for
Electromagnetic Radiation in a
Conducting Moving Medium:
Nonrelativistic Approximation . . . . . 409--416
Carlo Cercignani Linear Representation of Spinors by
Tensors . . . . . . . . . . . . . . . . 417--422
Freeman J. Dyson and
A. Lenard Stability of Matter. I . . . . . . . . . 423--434
Michael H. Coopersmith and
Harvey S. Leff Translational Invariance Properties of a
One-Dimensional Fluid with Forces of
Finite Extent . . . . . . . . . . . . . 434--442
R. J. Finkelstein Symmetry Group of the Hydrogen Atom . . 443--449
Hsiao S. Kiang Variational Theorem for Reduced Density
Matrices . . . . . . . . . . . . . . . . 450--451
C. R. Fischer and
R. Akerib Relativistic Partial Wave Analysis of
Electron Scattering . . . . . . . . . . 451--453
Jorge Flores Mixed Irreducible Representations for
U$_3$ . . . . . . . . . . . . . . . . . 454--459
Gerald L. Jones and
Robert E. Kennedy Density Fluctuations of a Fluid . . . . 460--466
William M. Frank Strong Coupling Limit in Potential
Theory. I . . . . . . . . . . . . . . . 466--472
Rubin Goldstein Variational Principles and Weighted
Averages . . . . . . . . . . . . . . . . 473--475
Paul W. Schmidt Calculation of Intersect Distribution
Functions in Small Angle X-Ray
Scattering . . . . . . . . . . . . . . . 475--477
Robert B. Griffiths Correlations in Ising Ferromagnets. I 478--483
Robert B. Griffiths Correlations in Ising Ferromagnets. II.
External Magnetic Fields . . . . . . . . 484--489
A. Navon and
J. Patera Embedding of a Simple Lie Group into a
Simple Lie Group and Branching Rules . . 489--493
C. L. Hammer and
T. A. Weber Two-Body Scattering with Wave Packets 494--506
David Jasnow and
Michael Wortis New Derivation of the Ising Model
Cluster Expansion . . . . . . . . . . . 507--511
D. Masson Padé Approximant and Partial-Wave
Integral Equation . . . . . . . . . . . 512--514
William Strieder and
Stephen Prager Upper and Lower Bounds on Knudsen Flow
Rates . . . . . . . . . . . . . . . . . 514--517
O. Laporte and
R. G. Fowler Weber's Mixed Boundary-Value Problem in
Electrodynamics . . . . . . . . . . . . 518--522
E. M. Barston Eigenvalue Problem for Lagrangian
Systems . . . . . . . . . . . . . . . . 523--532
Arthur Layzer Lowest-Order Correction to Many-Fermion
Vertex Function . . . . . . . . . . . . 532--535
A. J. Macfarlane and
L. O'Raifeartaigh and
P. S. Rao Relationship of the Internal and
External Multiplicity Structure of
Compact Simple Lie Groups . . . . . . . 536--546
H. P. McKean Chapman--Enskog--Hilbert Expansion for a
Class of Solutions of the Telegraph
Equation . . . . . . . . . . . . . . . . 547--552
Toshio Nakayama and
John M. Dawson Derivations of Hierarchies for
$N$-Particle Systems and Vlasov Systems
by Means of the Functional Calculus . . 553--560
H. M. Nussenzveig Phase Problem in Coherence Theory . . . 561--572
Gerald Rosen Equations of Motion in Classical
Nonlinear Field Theories . . . . . . . . 573--575
Robert J. Rubin Random Walk with an Excluded Origin . . 576--581
T. D. Schultz Short Simple Evaluation of Expressions
of the Debye--Waller Form Valid for
Anharmonic Modes not in Thermal
Equilibrium . . . . . . . . . . . . . . 581--581
S. Natarajan and
K. Viswanath Quaternionic Representations of Compact
Metric Groups . . . . . . . . . . . . . 582--589
Victor Twersky Multiple Scattering of Electromagnetic
Waves by Arbitrary Configurations . . . 589--610
Jacques Voisin Representations of the Lie Algebra of
the Homogeneous Galilei Group and Their
Relation to the Representations of the
Lorentz Algebra . . . . . . . . . . . . 611--614
Steven Weinberg General Theory of Resistive Beam
Instabilities . . . . . . . . . . . . . 614--641
Levere Hostler Runge--Lenz Vector and the Coulomb
Green's Function . . . . . . . . . . . . 642--646
C. T. Tai Time-Dependent Green's Function for a
Moving Isotropic Nondispersive Medium 646--647
Francis R. Halpern Relation between the Relativistic and
Nonrelativistic $S$-Matrices . . . . . . 648--650
James B. Hartle and
John R. Taylor Existence of N and D Matrices . . . . . 651--656
Kosai Tanabe and
Kazuhisa Shima Isoparity and Simple Lie Group . . . . . 657--662
G. F. Dell'Antonio and
S. Doplicher Total Number of Particles and Fock
Representation . . . . . . . . . . . . . 663--666
P. C. Bartrum Energy Tensor of the Null
Electromagnetic Field . . . . . . . . . 667--674
J. F. Boyce Relation of the ${\rm O}(2, 1)$
Partial-Wave Expansion to the Regge
Representation . . . . . . . . . . . . . 675--684
A. O. Barut and
H. Kleinert Tensor Operators and Mass Formula in the
Minimal Extension of U$_3$ by Charge
Conjugation . . . . . . . . . . . . . . 685--686
Graham H. Campbell and
Joseph V. Lepore and
Robert J. Riddell Evaluation of Phase-Space Integrals . . 687--691
L. C. Biedenharn and
A. Giovannini and
J. D. Louck Canonical Definition of Wigner
Coefficients in U$_n$ . . . . . . . . . 691--700
C. D. Collinson and
D. C. French Null Tetrad Approach to Motions in Empty
Space--time . . . . . . . . . . . . . . 701--708
T. Cook and
B. Sakita Induced Representations of Strong
Coupling Groups . . . . . . . . . . . . 708--713
Jean-Robert Derome Symmetry Properties of the 3 j Symbols
for ${\rm SU}(3)$ . . . . . . . . . . . 714--716
Andrew A. Cunningham Bootstrap Prediction of Symmetry for a
Soluble Static Model . . . . . . . . . . 716--729
H. D. Doebner and
G. C. Hegerfeldt Group Embedding of Space--time and
Internal Symmetry Groups . . . . . . . . 730--741
John W. Essam Determination of Weight Factors in
Linked-Cluster Expansions for Lattice
Systems . . . . . . . . . . . . . . . . 741--749
Henri Epstein CTP Invariance of the $S$-Matrix in a
Theory of Local Observables . . . . . . 750--767
A. Galindo Lie Algebra Extensions of the Poincaré
Algebra . . . . . . . . . . . . . . . . 768--774
A. Gamba Peculiarities of the Eight-Dimensional
Space . . . . . . . . . . . . . . . . . 775--781
Robert P. Geroch Topology in General Relativity . . . . . 782--786
M. Glück and
Y. Gur and
J. Zak Double Representations of Space Groups 787--790
Jordan D. Lewis Expansion Theorem for the Linearized
Fokker--Planck Equation . . . . . . . . 791--798
David Hestenes Real Spinor Fields . . . . . . . . . . . 798--808
David Hestenes Spin and Isospin . . . . . . . . . . . . 809--812
James Hurley One-Dimensional Three-Body Problem . . . 813--815
Frederick R. Innes Quasi-Spin Methods and Pairs of
One-Particle CFP in the Seniority Scheme 816--820
R. P. Kanwal Theory of Diffraction and Matched
Asymptotic Expansions . . . . . . . . . 821--822
I. Kuscer and
F. Shure Closure Relations for the Eigenfunctions
of the One-Speed Transport Equation . . 823--826
Maria Miasek and
Helena Dodziuk Application of Houston's Method to the
Sum of Plane Waves over the Brillouin
Zone. II. Body-Centered Cubic Lattice 827--829
C. Lanczos Einstein Equations and Electromagnetism 829--836
J. S. Lomont and
H. E. Moses Reduction of Reducible Representations
of the Infinitesimal Generators of the
Proper, Orthochronous, Inhomogeneous
Lorentz Group . . . . . . . . . . . . . 837--850
Roger G. Newton Equations with Connected Kernels for
$N$-particle $T$ Operators . . . . . . . 851--856
T. J. Nelson A Set of Harmonic Functions for the
Group ${\rm SU}(3)$ as Specialized
Matrix Elements of a General Finite
Transformation . . . . . . . . . . . . . 857--863
F. Y. Wu and
H. T. Tan and
E. Feenberg Necessary Conditions on Radial
Distribution Functions . . . . . . . . . 864--869
David M. Schrader Two Variational Principles for
Magnetostatic Calculations . . . . . . . 870--872
J. Nuttall Analytic Continuation of the
Off-Energy-Shell Scattering Amplitude 873--877
A. C. Pipkin and
R. S. Rivlin Phenomenological Theory of Magnetic
Hysteresis . . . . . . . . . . . . . . . 878--883
Abraham Kadish Exponential Stability of Non-uniform
Guiding Center Plasma . . . . . . . . . 884--888
Lawrence Sirovich and
James K. Thurber Plane Wave Propagation in Kinetic Theory 888--895
R. N. Sen Construction of the Irreducible
Representations of ${\rm SU}_4$ . . . . 896--905
Pierre C. Sabatier General Method for the Inverse
Scattering Problem at Fixed Energy . . . 905--918
Hugo D. Wahlquist and
Frank B. Estabrook Herglotz--Noether Theorem in Conformal
Space--time . . . . . . . . . . . . . . 919--919
James R. Wait Theory of Diffraction by a Curved
Inhomogeneous Body . . . . . . . . . . . 920--925
R. H. Terwiel Evaluation of Expressions of the
Debye--Waller Form . . . . . . . . . . . 926--926
M. S. Wertheim Integral Equations in the Theory of
Classical Fluids . . . . . . . . . . . . 927--938
J. R. Trollope Null Fields in Einstein--Maxwell Field
Theory. II . . . . . . . . . . . . . . . 938--941
Geoffrey B. West Scattering from Coulomb-Like Potentials
without Divergences or Cutoffs. I.
Formalism: Generalized
Lippmann--Schwinger Equations . . . . . 942--953
F. Zaccaria Clebsch--Gordan Series in the
Exceptional Groups . . . . . . . . . . . 953--954
R. D. Poshusta Permutational Symmetry of Reduced
Density Matrices . . . . . . . . . . . . 955--961
R. M. Wilcox Exponential Operators and Parameter
Differentiation in Quantum Physics . . . 962--982
Jerome Blackman New Approach to Unified Field Theory . . 983--987
C. M. Andersen Clebsch--Gordan Series for Symmetrized
Tensor Products . . . . . . . . . . . . 988--997
J. T. Anderson Complete Excitation Spectra . . . . . . 998--1003
W. A. Beyer and
L. Heller Analytic Continuation of Laplace
Transforms by Means of Asymptotic Series 1004--1018
Tadashi Arai and
John R. Gabriel Cluster Expansion of an Inverse Overlap
Matrix for Solids . . . . . . . . . . . 1018--1025
M. M. Balaban and
A. E. Green and
P. M. Naghdi Simple Force Multipoles in the Theory of
Deformable Surfaces . . . . . . . . . . 1026--1036
Charles L. Critchfield Bargmann--Wigner Equations . . . . . . . 1037--1039
R. C. Erdmann Neutron Transport from a Point Source in
Two Adjacent, Dissimilar, Semi-Infinite
Media . . . . . . . . . . . . . . . . . 1040--1044
A. Brooks Harris Bounds for Certain Thermodynamic
Averages . . . . . . . . . . . . . . . . 1044--1045
David Hestenes Spinor Fields as Distortions of
Space--time . . . . . . . . . . . . . . 1046--1050
William A. Gale Regularization and Peratization of
Singular Potentials . . . . . . . . . . 1050--1052
John Lam Radiation of a Point Charge Moving
Uniformly over an Infinite Array of
Conducting Half-Planes . . . . . . . . . 1053--1060
N. D. Mermin Absence of Ordering in Certain Classical
Systems . . . . . . . . . . . . . . . . 1061--1064
R. M. Misra and
R. A. Singh Three-Dimensional Formulation of
Gravitational Null Fields. II . . . . . 1065--1068
N. Mukunda Realizations of Lie Algebras in
Classical Mechanics . . . . . . . . . . 1069--1072
Z. Rieder and
J. L. Lebowitz and
E. Lieb Properties of a Harmonic Crystal in a
Stationary Nonequilibrium State . . . . 1073--1078
N. Limi\'c and
J. Niederle and
R. Raczka Eigenfunction Expansions Associated with
the Second-Order Invariant Operator on
Hyperboloids and Cones. III . . . . . . 1079--1093
R. A. Sack and
C. C. J. Roothaan and
W. Ko\los Recursive Evaluation of Some Atomic
Integrals . . . . . . . . . . . . . . . 1093--1094
Nazakat Ullah Exact Distributions of the Reduced-Width
Amplitude . . . . . . . . . . . . . . . 1095--1096
Kaya Imre and
Ercüment Özizmir and
Marcos Rosenbaum and
P. F. Zweifel Wigner Method in Quantum Statistical
Mechanics . . . . . . . . . . . . . . . 1097--1108
S. N. Biswas Symmetries of the Bethe--Salpeter
Equation for Relativistic Bound-State
Problem . . . . . . . . . . . . . . . . 1109--1111
Richard A. Brandt Bogoliubov--Parasiuk--Hepp
Renormalization Theorem and Spacelike
Regularization . . . . . . . . . . . . . 1112--1120
William M. Frank Class of Nonanalytic Perturbations in
Quantum Mechanics . . . . . . . . . . . 1121--1127
Owen Fleischman and
John G. Nagel Double Structure of a Combined Internal
and Space--time Symmetry Group and Mass
Splitting . . . . . . . . . . . . . . . 1128--1134
H. E. Moses Reduction of Relativistic Wavefunctions
to the Irreducible Representations of
the Inhomogeneous Lorentz Group. I.
Nonzero Mass Components . . . . . . . . 1134--1154
Mamata Pattnaik Leading Landau Curves for a Larger Class
of Feynman Diagrams . . . . . . . . . . 1155--1162
Klaus J. Lezuo Weyl Coefficients in ${\rm SU}(3)$ . . . 1163--1170
G. F. R. Ellis Dynamics of Pressure-Free Matter in
General Relativity . . . . . . . . . . . 1171--1194
G. C. Hegerfeldt Branching Theorem for the Symplectic
Groups . . . . . . . . . . . . . . . . . 1195--1196
Hugo F. Kremer Fresnel's Equation in General Relativity 1197--1199
Donald H. Kobe Derivation of the Principle of
Compensation of Dangerous Diagrams . . . 1200--1210
Monique Levy-Nahas Deformation and Contraction of Lie
Algebras . . . . . . . . . . . . . . . . 1211--1222
Soonsung Hong Asymptotic Theory of Electromagnetic and
Acoustic Diffraction by Smooth Convex
Surfaces of Variable Curvature . . . . . 1223--1232
Sing Chin Pang and
K. T. Hecht Lowering and Raising Operators for the
Orthogonal Group in the Chain ${\rm
O}(n) \supset {\rm O}(n - 1) \supset
\ldots{}$, and their Graphs . . . . . . 1233--1251
A. Sciarrino and
M. Toller Decomposition of the Unitary Irreducible
Representations of the Group ${\rm SL}(2
C)$ Restricted to the Subgroup ${\rm
SU}(1, 1)$ . . . . . . . . . . . . . . . 1252--1265
Shimshon Zimering Mathematical Methods for Evaluating
Second-Order Three-Body Interactions
between Atoms or Ions with Gaussian
Wavefunctions . . . . . . . . . . . . . 1266--1270
W. S. Woolcock Asymptotic Behavior of Stieltjes
Transforms. I . . . . . . . . . . . . . 1270--1275
S. R. Coriell and
J. L. Jackson Probability Distribution of the Radius
of Gyration of a Flexible Polymer . . . 1276--1284
Hiroshi Ezawa and
Marshall Luban Criterion for Bose--Einstein
Condensation and Representation of
Canonical Commutation Relations . . . . 1285--1311
Luciano Fonda and
Gian Carlo Ghirardi Renormalized Coupling Constants and the
Inversion Problem . . . . . . . . . . . 1312--1314
Rémi Hakim Remarks on Relativistic Statistical
Mechanics. I . . . . . . . . . . . . . . 1315--1344
Fedor Herbut and
Milan Vujici\'c Basic Algebra of Antilinear Operators
and Some Applications. I . . . . . . . . 1345--1354
R. J. Torrence and
A. I. Janis Approach to Gravitational Radiation
Scattering . . . . . . . . . . . . . . . 1355--1366
A. Chakrabarti Canonical Form Factors and Current
Commutation Relations . . . . . . . . . 1367--1378
Rémi Hakim Remarks on Relativistic Statistical
Mechanics. II. Hierarchies for the
Reduced Densities . . . . . . . . . . . 1379--1400
Hans Hejtmanek Time Behavior of a Reactor and Ergodic
Theory of Semigroups . . . . . . . . . . 1401--1405
K. Nordtvedt Upper Bounds to Eigenvalues of the
One-Dimensional Sturm--Liouville
Equation . . . . . . . . . . . . . . . . 1406--1409
Robert Goldman and
Edward A. Frieman Logarithmic Density Behavior of a
Nonequilibrium Boltzmann Gas . . . . . . 1410--1426
R. W. Gibberd and
C. A. Hurst New Approach to the Ising Model. II . . 1427--1435
B. Gruber Relation Between ``Outer'' and ``Inner''
Multiplicity for ${\rm SU}(2)$ and ${\rm
SU}(3)$ . . . . . . . . . . . . . . . . 1436--1439
Kenneth Rafanelli Unitary Representations of the Lorentz
Group and Particle Dynamics . . . . . . 1440--1442
M. K. F. Wong Electromagnetic Behavior of
Superconductors with Impurity Scattering 1443--1448
Robert M. Lewis A Unifying Principle in Statistical
Mechanics . . . . . . . . . . . . . . . 1448--1459
O. Lanford and
D. Ruelle Integral Representations of Invariant
States on $B^*$ Algebras . . . . . . . . 1460--1463
Peter C. Bartrum Null Electromagnetic Field in the Form
of Spherical Radiation . . . . . . . . . 1464--1467
David G. Boulware and
S. Deser Stress-Tensor Commutators and Schwinger
Terms . . . . . . . . . . . . . . . . . 1468--1477
Jeffrey M. Cohen Note on the Kerr Metric and Rotating
Masses . . . . . . . . . . . . . . . . . 1477--1478
G. W. Darewych and
H. Schiff Particlelike Solutions of a Class of
Nonlinear Field Equations . . . . . . . 1479--1482
Jong K. Jaen Quantum Correlation Function for the
Noninteracting Particle System . . . . . 1483--1491
G. Dautcourt Characteristic Hypersurfaces in General
Relativity. I . . . . . . . . . . . . . 1492--1501
Donald R. Tompkins Decomposition of Tensors of the
Classical Groups . . . . . . . . . . . . 1502--1514
C. Mavroyannis Dispersion of Electromagnetic Waves in
Molecular Crystals . . . . . . . . . . . 1515--1522
C. Mavroyannis Scattering of Electromagnetic Waves in
Molecular Crystals . . . . . . . . . . . 1522--1537
Freeman J. Dyson Ground-State Energy of a Finite System
of Charged Particles . . . . . . . . . . 1538--1545
R. M. Mazo Lower Bound on the Mean Kinetic Energy
of a System of Particles . . . . . . . . 1546--1547
C. D. Collinson Empty Space--times Algebraically Special
on a Given World Line or Hypersurface 1547--1550
Arno Böhm Associative Algebra in the Problem of
Mass Formulas . . . . . . . . . . . . . 1551--1558
Egon Marx Klein--Gordon Equation for Spinors . . . 1559--1566
R. G. Newton Connection between Complex Angular
Momenta and the Inverse Scattering
Problem at Fixed Energy . . . . . . . . 1566--1570
Awele Maduemezia Matrix Elements for Irreducible
Representations of the ${\rm U}(6, 6)$
Algebra in Harmonic Function Space . . . 1571--1580
T. M. Rice Superconductivity in One and Two
Dimensions. II. Charged Systems . . . . 1581--1591
W. G. Dixon Description of Extended Bodies by
Multipole Moments in Special Relativity 1591--1605
Henry P. Stapp Finiteness of the Number of
Positive-$\alpha$ Landau Surfaces in
Bounded Portions of the Physical Region 1606--1610
H. L. Berk and
D. L. Book and
D. Pfirsch Convergence of the Bremmer Series for
the Spatially Inhomogeneous Helmholtz
Equation . . . . . . . . . . . . . . . . 1611--1619
W. L. Hendry Solutions to the Neutron Transport
Equation for a Critical Slab by
Perturbation Theory . . . . . . . . . . 1619--1630
Henry Brysk Drukarev Transformation of Dirac
Equation . . . . . . . . . . . . . . . . 1631--1632
F. A. Blood Relativistic and Causal Theories with
Four-Fermion Interaction Hamiltonians 1633--1641
D. Dialetis Some Theorems Concerning the Phase
Problem of Coherence Theory . . . . . . 1641--1649
John C. Herzel Green's Functions and Double-Time
Distribution Functions in Classical
Statistical Mechanics . . . . . . . . . 1650--1652
Carlo Cercignani Existence and Uniqueness in the Large
for Boundary Value Problems in Kinetic
Theory . . . . . . . . . . . . . . . . . 1653--1656
D. Ruelle States of Classical Statistical
Mechanics . . . . . . . . . . . . . . . 1657--1668
A. K. Common Application of the Theory of Padé
Approximants to the Solution of the $N /
D$ Equations . . . . . . . . . . . . . . 1669--1675
Richard E. Meyer Near-Steady Transition Waves of a
Collisionless Plasma . . . . . . . . . . 1676--1684
R. F. Streater Uniqueness of the Haag--Ruelle
Scattering States . . . . . . . . . . . 1685--1693
Behram Kursuno\uglu Unitary Representations of ${\rm U}(2,
2)$ and Massless Fields . . . . . . . . 1694--1699
Vittorio Cantoni Reduction of Some Representations of the
Generalized Bondi--Metzner Group . . . . 1700--1706
H. H. Nickle Erratum: ``Nonrelativistic Quantum
Theory of an Electron in an Arbitrarily
Intense Laser Field'' . . . . . . . . . 1706--1706
John M. Richardson and
Leo C. Levitt Linear Closure Approximation Method for
Classical Statistical Mechanics . . . . 1707--1715
David A. Micha Expansion of the $T$ Matrix for
Resonance Collisions . . . . . . . . . . 1716--1719
A. Das and
C. V. Coffman A Class of Eigenvalues of the
Fine-Structure Constant and Internal
Energy Obtained from a Class of Exact
Solutions of the Combined
Klein--Gordon--Maxwell--Einstein Field
Equations . . . . . . . . . . . . . . . 1720--1735
E. Bahar Generalized WKB Method with Applications
to Problems of Propagation in
Nonhomogeneous Media . . . . . . . . . . 1735--1746
Saul T. Epstein and
Jean H. Epstein and
Barbara Kennedy Recursion Relations for Coulomb Matrix
Elements . . . . . . . . . . . . . . . . 1747--1747
V. Gorgé and
F. Rohrlich Analytic Functionals in Quantum Field
Theory . . . . . . . . . . . . . . . . . 1748--1756
Robert Nyden Hill Canonical Formulation of Relativistic
Mechanics . . . . . . . . . . . . . . . 1756--1773
Robert A. Sack Expansions in Spherical Harmonics. IV.
Integral Form of the Radial Dependence 1774--1784
Benjamin Rulf Relation between Creeping Waves and
Lateral Waves on a Curved Interface . . 1785--1793
James E. Mann Electric Fields in a Semi-Infinite
Medium Whose Conductivity Varies
Laterally . . . . . . . . . . . . . . . 1794--1797
C. L. Mehta Degree of Higher-Order Optical Coherence 1798--1807
David N. Williams Energy-Momentum Conservation Implies
Translation Invariance: Some Didactic
Remarks . . . . . . . . . . . . . . . . 1807--1816
W. H. Heintz and
R. L. Gibbs Angular Coefficients of Atomic Matrix
Elements Involving Interelectronic
Coordinates . . . . . . . . . . . . . . 1817--1828
A. Paliov and
S. Rosendorff High-Energy Phase Shifts Produced by
Repulsive Singular Potentials . . . . . 1829--1837
Ian Lerche Initial-Value Problem for Relativistic
Plasma Oscillations . . . . . . . . . . 1838--1847
Stanley Gudder Coordinate and Momentum Observables in
Axiomatic Quantum Mechanics . . . . . . 1848--1858
Daniel Zwanziger Algebraic Calculation of Nonrelativistic
Coulomb Phase Shifts . . . . . . . . . . 1858--1860
David J. Vezzetti and
Joseph B. Keller Refractive Index, Attenuation,
Dielectric Constant, and Permeability
for Waves in a Polarizable Medium . . . 1861--1870
Hendricus G. Loos Gauge Field of a Point Charge . . . . . 1870--1877
Jeanne-Yvonne Pasquier Three-Particle States and Green's
Function . . . . . . . . . . . . . . . . 1878--1885
E. M. Barston Eigenvalue Problem for Lagrangian
Systems. II . . . . . . . . . . . . . . 1886--1892
Young-ping Pao Boundary-Value Problems for the
Linearized and Weakly Nonlinear
Boltzmann Equation . . . . . . . . . . . 1893--1898
M. K. F. Wong Representations of the Orthogonal Group.
I. Lowering and Raising Operators of the
Orthogonal Group and Matrix Elements of
the Generators . . . . . . . . . . . . . 1899--1911
J. R. Gaskill and
M. Arenstein Geometrical View of Lagrange Multipliers
in Mechanics . . . . . . . . . . . . . . 1912--1915
E. Kapuy and
N. H. March Two-Body Orbitals for One-Dimensional
Fermion Gas with Application to
Repulsive $\delta$-Function Interactions 1915--1920
J. Niederle Decompositions of Discrete Most
Degenerate Representations of ${\rm
SO}_0(p, q)$ when Restricted to
Representations of ${\rm SO}_0(p, q -
1)$ or ${\rm SO}_0(p - 1, q)$ . . . . . 1921--1930
Tsu Yao Unitary Irreducible Representations of
${\rm SU}(2, 2)$. I . . . . . . . . . . 1931--1954
Eric H. Roffman Representation Theory of Local Current
Algebras . . . . . . . . . . . . . . . . 1954--1956
Pierre C. Sabatier Interpolation Formulas in the Angular
Momentum Plane . . . . . . . . . . . . . 1957--1972
David M. Rosenbaum General Space-Momentum Commutation
Relation . . . . . . . . . . . . . . . . 1973--1978
Martin C. Gutzwiller Phase-Integral Approximation in Momentum
Space and the Bound States of an Atom 1979--2000
Richard L. Liboff and
Giovanni E. Perona Compatibility Requirements in BBGKY
Expansion . . . . . . . . . . . . . . . 2001--2012
H. Almström and
P. Olsson Analytic Properties of Certain Radial
Matrix Elements . . . . . . . . . . . . 2013--2021
James Dilley Evaluation of a Partial-Wave Unitarity
Integral . . . . . . . . . . . . . . . . 2022--2025
A. C. Manoharan Upper Bounds on Holomorphy Envelopes for
Wightman Functions . . . . . . . . . . . 2026--2029
B. McNamara and
K. J. Whiteman Invariants of Nearly Periodic
Hamiltonian Systems . . . . . . . . . . 2029--2038
Jack Wong Results on Certain Non-Hermitian
Hamiltonians . . . . . . . . . . . . . . 2039--2042
George N. Stanciu Further Exact Solutions of the Dirac
Equation . . . . . . . . . . . . . . . . 2043--2047
P. Chand and
C. L. Mehta and
N. Mukunda and
E. C. G. Sudarshan Realization of Lie Algebras by Analytic
Functions of Generators of a Given Lie
Algebra . . . . . . . . . . . . . . . . 2048--2059
H. Rund Systems of First-Order Linear Ordinary
Differential Equations as Canonical or
Euler--Lagrange Equations . . . . . . . 2059--2062
Hans Kummer $n$-Representability Problem for Reduced
Density Matrices . . . . . . . . . . . . 2063--2081
L. K. Runnels Phase Transition of a Bethe Lattice Gas
of Hard Molecules . . . . . . . . . . . 2081--2087
M. M. Carroll and
R. S. Rivlin Electro-Optical Effects. I . . . . . . . 2088--2091
Robert G. Cawley Formal Properties of the Solution to the
Radiationless Relativistic Kepler
Problem . . . . . . . . . . . . . . . . 2092--2096
G. C. Pomraning Complementary Variational Principles and
Their Application to Neutron Transport
Problems . . . . . . . . . . . . . . . . 2096--2108
Stanley Gudder Systems of Observables in Axiomatic
Quantum Mechanics . . . . . . . . . . . 2109--2113
Hendricus G. Loos Internal Holonomy Groups of Yang--Mills
Fields . . . . . . . . . . . . . . . . . 2114--2124
B. R. Judd and
H. T. Wadzinski A Class of Null Spectroscopic
Coefficients . . . . . . . . . . . . . . 2125--2130
John R. Taylor Timelike Cluster Properties in
Nonrelativistic Scattering . . . . . . . 2131--2137
R. Bellman and
H. Kagiwada and
R. Kalaba and
S. Ueno Invariant Imbedding Equations for the
Dissipation Functions of an
Inhomogeneous Finite Slab with
Anisotropic Scattering . . . . . . . . . 2137--2142
C. De Dominicis and
F. Englert Potential-Correlation Function Duality
in Statistical Mechanics . . . . . . . . 2143--2146
R. Finkelstein and
D. Levy Group Formulation of Potential
Scattering . . . . . . . . . . . . . . . 2147--2153
H. R. Post A Necessary Restriction on Correlation
Functions Arising from $3$- (or More)
Particle Systems in One Dimension . . . 2154--2154
J. N. Goldberg and
A. J. Macfarlane and
E. T. Newman and
F. Rohrlich and
E. C. G. Sudarshan Spin-$s$ Spherical Harmonics and $\Dbar$ 2155--2161
Joshua N. Goldberg Invariant Transformations and
Newman--Penrose Constants . . . . . . . 2161--2166
P. Lambropoulos Solution of the Differential Equation
$(\partial^2 / (\partial x \partial y) +
a x \partial / \partial x + b y \partial
/ \partial y + c x y + \partial /
\partial t ) P = 0$ . . . . . . . . . . 2167--2169
W. T. Scott New Form of Characteristic Functional
for Cascade Processes . . . . . . . . . 2170--2179
José Canosa Expansion Method for Nonlinear
Boundary-Value Problems . . . . . . . . 2180--2183
L. Kijewski and
J. K. Percus Interpolation Method for the Many-Body
Problem . . . . . . . . . . . . . . . . 2184--2193
L. M. Kaplan and
M. Resnikoff Matrix Products and the Explicit $3$,
$6$, $9$, and $12$-$j$ Coefficients of
the Regular Representation of ${\rm
SU}(n)$ . . . . . . . . . . . . . . . . 2194--2205
D. Radhakrishnan and
T. S. Santhanam Internal Multiplicity Structure and
Clebsch--Gordan Series for the
Exceptional Group G (2) . . . . . . . . 2206--2209
N. Mukunda Unitary Representations of the Group
${\rm O}(2, 1)$ in an ${\rm O}(1, 1)$
Basis . . . . . . . . . . . . . . . . . 2210--2220
A. Staruszkiewicz Geometric Theory of the Spin-Weighted
Functions . . . . . . . . . . . . . . . 2221--2222
T. Sawaguri and
W. Tobocman Finite-Range Effects in Distorted-Wave
Born-Approximation Calculations of
Nucleon Transfer Reactions . . . . . . . 2223--2230
H. Bacry and
J. L. Richard Partial Group-Theoretical Treatment for
the Relativistic Hydrogen Atom . . . . . 2230--2233
Helmut Friedel Discontinuities in Nonideal
Magnetogasdynamics . . . . . . . . . . . 2234--2236
C. H. Liu Effective Dielectric Tensor and
Propagation Constant of Plane Waves in a
Random Anisotropic Medium . . . . . . . 2236--2242
Erasmo M. Ferreira and
Nilo Guillén and
Javier Sesma Properties of Velocity-Dependent
Potentials . . . . . . . . . . . . . . . 2243--2249
S. J. Alisauskas and
A. P. Jucys Substitution Group and Mirror Reflection
Symmetry in Special Unitary Groups . . . 2250--2255
M. Pauri and
G. M. Prosperi Canonical Realizations of the Rotation
Group . . . . . . . . . . . . . . . . . 2256--2267
Henri Cornille Connection between the Marchenko
Formalism and $N / D$ Equations: Regular
Interactions. I . . . . . . . . . . . . 2268--2281
David Atkinson Existence of Solutions of
Crossing-Symmetric $N / D$ Equations . . 2281--2296
R. Penney Geometrization of a Complex Scalar
Field. II. Analysis . . . . . . . . . . 2297--2301
Frank B. Estabrook and
Hugo D. Wahlquist Tetrad Formulation of Junction
Conditions in General Relativity . . . . 2302--2308
D. Masson Analyticity in the Potential Strength 2308--2314
David L. Farnsworth Some New General Relativistic Dust
Metrics Possessing Isometries . . . . . 2315--2317
André Mockel Invariant Imbedding as a Generalization
of the Resolvent Equation . . . . . . . 2318--2321
Antonio F. Rañada Causality and the S Matrix . . . . . . . 2321--2326
Joseph R. Cox On the Determination of the Many-Channel
Potential Matrix and S Matrix from a
Single Function . . . . . . . . . . . . 2327--2331
Arthur E. Ferdinand Statistical Mechanics of Dimers on a
Quadratic Lattice . . . . . . . . . . . 2332--2339
Elliott H. Lieb Solution of the Dimer Problem by the
Transfer Matrix Method . . . . . . . . . 2339--2341
Tuan Wu Chen Functional Derivatives and Vector Meson
Fields . . . . . . . . . . . . . . . . . 2342--2346
Roger G. Newton Generalization of the Determinantal
Method to Continuous Channels . . . . . 2347--2350
F. Odeh Existence and Bifurcation Theorems for
the Ginzburg--Landau Equations . . . . . 2351--2356
Richard M. Spector Properties of the Wavefunction for
Singular Potentials . . . . . . . . . . 2357--2365
Robert M. Saenger Bethe--Salpeter Equation in Momentum
Space . . . . . . . . . . . . . . . . . 2366--2375
Alvin Meckler Dynamical Content of Differential
Geometry . . . . . . . . . . . . . . . . 2376--2392
John R. Klauder Weak Correspondence Principle . . . . . 2392--2399
Gerald Rosen Internal Dynamics of Particlelike
Solutions to Nonlinear Field Theories 2400--2406
Stewart Harris Proof that Successive Derivatives of
Boltzmann's H Function for a Discrete
Velocity Gas Alternate in Sign . . . . . 2407--2410
Robert L. W. Chen Energy Requirement for Nonlinear Density
Fluctuations in a Vlasov Plasma . . . . 2410--2414
Paul Federbush Results on the Analyticity of Many-Body
Scattering Amplitudes in Perturbation
Theory . . . . . . . . . . . . . . . . . 2415--2419
Arthur R. Swift Daughter Regge Trajectory in a Field
Theory Model . . . . . . . . . . . . . . 2420--2433
P. R. Smith and
B. G. Wybourne Selection Rules and the Decomposition of
the Kronecker Square of Irreducible
Representations . . . . . . . . . . . . 2434--2440
D. Lichtman and
R. B. McQuistan Exact Occupation Statistics for
One-Dimensional Arrays of Dumbbells . . 2441--2444
Ioannis M. Besieris and
Ralph T. Compton Time-Dependent Green's Function for
Electromagnetic Waves in Moving
Conducting Media . . . . . . . . . . . . 2445--2451
Amnon Katz Infinite Systems of Classical Particles 2451--2459
Alba Theumann Single-Particle Green's Function for a
One-Dimensional Many-Fermion System . . 2460--2467
O. J. Smith and
C. E. Siewert The Half-Space Green's Function for an
Atmosphere with a Polarized Radiation
Field . . . . . . . . . . . . . . . . . 2467--2474
Donald R. Tompkins Symmetrized Tensor ``Trace'' Operations 1--8
Gerald H. Katzin and
Jack Levine Related First Integral Theorem: A Method
for Obtaining Conservation Laws of
Dynamical Systems with Geodesic
Trajectories in Riemannian Spaces
Admitting Symmetries . . . . . . . . . . 8--15
H. E. Moses Reduction of Relativistic Wavefunctions
to the Irreducible Representations of
the Inhomogeneous Lorentz Group. Part
II. Zero-Mass Components . . . . . . . . 16--31
A. K. Common Padé Approximants and Bounds to Series of
Stieltjes . . . . . . . . . . . . . . . 32--38
Ronald Mirman Invariants and Scalars of Compact
Inhomogeneous Unitary Algebras . . . . . 39--46
Ronald Mirman Number of Polynomial Invariants of
Adjoint and Fundamental Compact
Inhomogeneous Unitary Algebras . . . . . 47--49
N. Mukunda Unitary Representations of the
Homogeneous Lorentz Group in an ${\rm
O}(2, 1)$ Basis . . . . . . . . . . . . 50--61
Eric H. Roffman $n$-Particle Kinematics . . . . . . . . 62--65
Boris Leaf Weyl Transformation and the Classical
Limit of Quantum Mechanics . . . . . . . 65--72
R. Fitzgerald and
S. Schiminovich Gauge Fields with Noninvariant
Interactions . . . . . . . . . . . . . . 73--80
R. C. Erdmann and
C. E. Siewert Green's Functions for the One-Speed
Transport Equation in Spherical Geometry 81--89
F. Calogero and
A. Degasperis Values of the Potential and Its
Derivatives at the Origin in Terms of
the $S$-Wave Phase Shift and Bound-State
Parameters . . . . . . . . . . . . . . . 90--116
Rémi Hakim and
André Mangeney Relativistic Kinetic Equations Including
Radiation Effects. I. Vlasov
Approximation . . . . . . . . . . . . . 116--130
John W. Clark and
Paul Westhaus Cluster Expansions in Many-Fermion
Theory. I. ``Factor-Cluster'' Formalisms 131--148
Paul Westhaus and
John W. Clark Cluster Expansions in Many-Fermion
Theory. II. Rearrangements of Primitive
Decomposition Equations . . . . . . . . 149--154
Joseph L. Neuringer and
James J. Stekert Electromagnetic Scattering from an
Inhomogeneous, Collisionless Plasma
Cylinder . . . . . . . . . . . . . . . . 155--163
Richard A. Matzner Scattering of Massless Scalar Waves by a
Schwarzschild ``Singularity'' . . . . . 163--170
Michael Flicker Pair Distribution Function of a
One-Dimensional Hard Rod Gas . . . . . . 171--173
Gideon Carmi Further Generalized Bose Condensation,
Anisotropic ODLRO and Thin$^4$ He Films 174--180
A. Ten Kate Dirac Algebra and the Six-Dimensional
Lorentz Group . . . . . . . . . . . . . 181--185
A. Gamba Representations and Classes in Groups of
Finite Order . . . . . . . . . . . . . . 186--192
Gordon N. Fleming Structure of the Poincaré generators . . 193--204
R. K. Nesbet Note on the WKB Method . . . . . . . . . 205--206
Erik W. Aslaksen and
John R. Klauder Unitary Representations of the Affine
Group . . . . . . . . . . . . . . . . . 206--211
D. B. Litvin and
J. Zak Clebsch--Gordan Coefficients for Space
Groups . . . . . . . . . . . . . . . . . 212--221
Edward H. Kerner Remarks on the Nature of Relativistic
Particle Orbits . . . . . . . . . . . . 222--232
G. H. Derrick and
Wan Kay-Kong Particle Motion and Interaction in
Nonlinear Field Theories . . . . . . . . 232--240
Colin J. Thompson Infinite-Spin Ising Model in One
Dimension . . . . . . . . . . . . . . . 241--245
Leonard M. Scarfone $2 V$ Sector of the Lee Model . . . . . 246--254
H. J. W. Müller and
K. Schilcher High-Energy Scattering for Yukawa
Potentials . . . . . . . . . . . . . . . 255--259
R. A. Handelsman and
R. M. Lewis Asymptotic Theory of Cerenkov Radiation
in Inhomogeneous Media . . . . . . . . . 260--269
Jerzy Plebanski and
John Stachel Einstein Tensor and Spherical Symmetry 269--283
C. P. Luehr and
M. Rosenbaum Intrinsic Vector and Tensor Techniques
in Minkowski Space with Applications to
Special Relativity . . . . . . . . . . . 284--298
S. P. Misra and
T. S. Shankara Semiclassical and Quantum Descriptions 299--304
Frank B. Thiess Analytic Functionals in Quantum Field
Theory and the Regularization of
Ultraviolet Divergences . . . . . . . . 305--315
T. W. B. Kibble Coherent Soft-Photon States and Infrared
Divergences. I. Classical Currents . . . 315--324
Arnold H. Kritz and
S. Radin and
G. Sandri Evolution of the Probability
Distributions and of the Correlation
Functions in a Bogoliubov Plasma . . . . 325--335
R. Kantowski Another Interpretation of the Optical
Scalars . . . . . . . . . . . . . . . . 336--338
Roman Jackiw Minimum Uncertainty Product,
Number-Phase Uncertainty Product, and
Coherent States . . . . . . . . . . . . 339--346
Marshall Luban and
Michael Revzen Onset of ODLRO and the Phase Transition
in the Ideal Boson Gas . . . . . . . . . 347--349
Peter Richmond and
Geoffrey L. Sewell Electron correlations, magnetic
ordering, and Mott insulation in solids 349--356
Robin Giles Foundations for Quantum Statistics . . . 357--371
G. A. Baraff Transmission of electromagnetic waves
through a conducting slab. I. The
two-sided Wiener--Hopf solution . . . . 372--384
V. Syamala Devi and
L. S. R. K. Prasad State Labeling of the Irreducible
Representations of ${\rm SU}_n$ . . . . 384--385
John M. Chadam Unitarity of Dynamical Propagators of
Perturbed Klein--Gordon Equations . . . 386--396
S. Jang Relationships among the Wigner $9$-$j$
symbols . . . . . . . . . . . . . . . . 397--402
C. D. Collinson Embeddings of the Plane-Fronted Waves
and Other Space--times . . . . . . . . . 403--410
N. Mukunda and
E. C. G. Sudarshan Structure of the Dirac Bracket in
Classical Mechanics . . . . . . . . . . 411--417
N. Mukunda Unitary Representations of the Lorentz
Groups: Reduction of the Supplementary
Series under a Noncompact Subgroup . . . 417--431
Joseph B. Krieger Asymptotic Properties of Perturbation
Theory . . . . . . . . . . . . . . . . . 432--435
D. W. Schlitt Numerical Solution of a Singular
Integral Equation Encountered in Polymer
Physics . . . . . . . . . . . . . . . . 436--439
Yung Ming Chen Scattering of Scalar Waves by a Convex
Transparent Object with Statistical
Surface Irregularities . . . . . . . . . 439--450
Robert Geroch Local Characterization of Singularities
in General Relativity . . . . . . . . . 450--465
D. G. Kelly and
S. Sherman General Griffiths' Inequalities on
Correlations in Ising Ferromagnets . . . 466--484
W. E. Couch and
R. J. Torrence and
A. I. Janis and
E. T. Newman Tail of a Gravitational Wave . . . . . . 484--496
F. B. Estabrook and
H. D. Wahlquist and
C. G. Behr Dyadic Analysis of Spatially Homogeneous
World Models . . . . . . . . . . . . . . 497--504
R. R. Sharma Alpha-Function Technique for Two-Center
Integrals . . . . . . . . . . . . . . . 505--509
Michael M. Broido Renormalization and Composite Effects in
the Lee Model . . . . . . . . . . . . . 510--514
Paul A. Benioff Some Properties of the Contact between
Theory and Experiment . . . . . . . . . 514--524
A. A. Maradudin and
I. P. Ipatova Structure of the Phonon Propagator for
an Anharmonic Crystal . . . . . . . . . 525--532
N. Mukunda Zero-mass representations of the Poincaré
group in an $O(3,1)$ basis . . . . . . . 532--536
J. G. Wray Current formalism. I. Ordering theorems
for currents . . . . . . . . . . . . . . 537--552
J. G. Wray Current formalism. II. The $S$ matrix in
perturbation theory . . . . . . . . . . 552--570
Martin J. Cooper Point Transformation of Classical
Hard-Core Potential . . . . . . . . . . 571--578
S. K. Dutta and
W. A. Wilson and
A. E. S. Green Modified Born Approximation and Elastic
Scattering by Weak Central Potentials 578--585
C. Eftimiu and
K. W. Thompson Green's Function of a Particle in a
Uniform External Field . . . . . . . . . 586--587
D. Gutkowski and
A. Scalia Analytic Properties of a Class of
Nonlocal Interactions. I . . . . . . . . 588--592
A. W. Martin and
P. L. Pritchett Asymptotic Gravitational Field of the
``Electron'' . . . . . . . . . . . . . . 593--597
S. W. Hawking Gravitational Radiation in an Expanding
Universe . . . . . . . . . . . . . . . . 598--604
R. A. Craig Perturbation Expansion for Real-Time
Green's Functions . . . . . . . . . . . 605--611
A. Sankaranarayanan Extension Theorem and Representations 611--620
John D. Dollard Screening in the Schrödinger theory of
scattering . . . . . . . . . . . . . . . 620--624
C. D. Collinson Note on the Geometric Theory of
Neutrinos . . . . . . . . . . . . . . . 625--627
H. M. Kiefer and
D. M. Fradkin Comments on Separability Operators,
Invariance Ladder Operators, and
Quantization of the Kepler Problem in
Prolate-Spheroidal Coordinates . . . . . 627--632
Carlo Cercignani Existence, Uniqueness, and Convergence
of the Solutions of Models in Kinetic
Theory . . . . . . . . . . . . . . . . . 633--639
Peter Kramer Irreducible representations of the
semidirect-product group $K_n = A_n
\colon S_n$ and the harmonic-oscillator
shell model . . . . . . . . . . . . . . 639--649
R. J. Baxter Dimers on a Rectangular Lattice . . . . 650--654
Roy G. Gordon Error Bounds in Equilibrium Statistical
Mechanics . . . . . . . . . . . . . . . 655--663
R. T. Sharp and
S. C. Pieper $O(5)$ Polynomial bases . . . . . . . . 663--667
L. de la Peña-Auerbach and
E. Braun and
L. S. García Colín Quantum-Mechanical Description of a
Brownian Particle . . . . . . . . . . . 668--674
Joshua N. Goldberg Green's Theorem and Invariant
Transformations . . . . . . . . . . . . 674--679
Robert Zwanzig Frequency Spectra of Harmonic Lattices
with Weak Long-Range Interactions . . . 679--685
Charles Roth Electrostatic Interactions of the
Configuration $d^{n - 1} s p$ . . . . . 686--692
C. L. Mehta Some Inequalities Involving Traces of
Operators . . . . . . . . . . . . . . . 693--697
A. Lenard and
Freeman J. Dyson Stability of Matter. II . . . . . . . . 698--711
Porter Johnson Orear Behavior in Potential Scattering 712--718
M. Wilner An Integral Equation for the Scattering
Operator . . . . . . . . . . . . . . . . 719--724
Moorad Alexanian Field-Theoretic Formulation of Quantum
Statistical Mechanics . . . . . . . . . 725--733
Moorad Alexanian Integral Representation for Systems of
Interacting Particles . . . . . . . . . 734--737
S. Komy and
L. O'Raifeartaigh Some Properties of Ladder Operators . . 738--744
Mark Diesendorf and
Barry W. Ninham Quantum Corrections to the Pair
Distribution Function of a Classical
Plasma . . . . . . . . . . . . . . . . . 745--752
Robert L. Bowden and
F. Joseph McCrosson and
Edgar A. Rhodes Solution of the Transport Equation with
Anisotropic Scattering in Slab Geometry 753--759
John M. Greene Two-Dimensional Measure-Preserving
Mappings . . . . . . . . . . . . . . . . 760--768
Boris Leaf Weyl Transform in Nonrelativistic
Quantum Dynamics . . . . . . . . . . . . 769--781
H. H. Aly and
J. G. Taylor New Field-Theory Approach to Singular
Potentials . . . . . . . . . . . . . . . 781--785
Asher Peres Realization of Poincaré-group generators
on a light cone . . . . . . . . . . . . 785--789
Erik Eriksen Properties of Higher-Order Commutator
Products and the Baker--Hausdorff
Formula . . . . . . . . . . . . . . . . 790--796
Gerald L. Nutt Two- and Three-Particle Coulomb Systems 796--803
Gerald Rosen Nonexistence of Finite-Energy Stationary
Quantum States in Nonlinear Field
Theories . . . . . . . . . . . . . . . . 804--805
Leonard Eyges and
John R. Jasperse Improved method for quantum-mechanical
three-body problem III. Use of Sturmian
functions . . . . . . . . . . . . . . . 805--812
Klaus Bichteler Global Existence of Spin Structures for
Gravitational Fields . . . . . . . . . . 813--815
Vittorio Berzi and
Vittorio Gorini Lie-Group and Lie-Algebra
Inhomogenizations . . . . . . . . . . . 816--828
Vittorio Berzi and
Vittorio Gorini Inhomogenizations and Complex
Representations . . . . . . . . . . . . 829--836
Robert E. Hartwig and
John Stephenson Ising-Model Spin Correlations . . . . . 836--848
C. Rosenzweig and
J. B. Krieger Exact Quantization Conditions . . . . . 849--860
J. Winicour Some Total Invariants of Asymptotically
Flat Space--times . . . . . . . . . . . 861--867
Rodney J. Mason Electric-Field Penetration into a Plasma
with a Fractionally Accommodating
Boundary . . . . . . . . . . . . . . . . 868--874
Melville S. Green Generalized Ornstein--Zernike Approach
to Critical Phenomena . . . . . . . . . 875--890
John V. Corbett Convergence of the Born Series . . . . . 891--898
G. H. Wannier and
J. P. Van Dyke Are Bloch Bands at Finite Field
Adiabatically Connected to Those at Zero
Field? . . . . . . . . . . . . . . . . . 899--904
Jeffrey M. Cohen Angular Momentum and the Kerr Metric . . 905--906
R. Bellman and
H. Kagiwada and
R. Kalaba and
S. Ueno New derivation of the
integro-differential equations for
Chandrasekhar's $X$ and $Y$ functions 906--908
R. E. Bellman and
H. H. Kagiwada and
R. E. Kalaba and
S. Ueno Diffuse Transmission of Light from a
Central Source through an Inhomogeneous
Spherical Shell with Isotropic
Scattering . . . . . . . . . . . . . . . 909--912
A. Schild and
J. A. Schlosser Electromagnetic Two-Body Problem for
Particles with Spin . . . . . . . . . . 913--915
L. de la Peña-Auerbach and
Leopoldo S. García-Colín Possible Interpretation of Quantum
Mechanics . . . . . . . . . . . . . . . 916--921
L. de la Peña-Auerbach and
Leopoldo S. García-Colín Simple Generalization of Schrödinger's
Equation . . . . . . . . . . . . . . . . 922--927
Peter Carruthers Local field theory and isospin
invariance. I. Free-field theory of
spinless bosons . . . . . . . . . . . . 928--945
Gerard G. Emch and
Geoffrey L. Sewell Nonequilibrium Statistical Mechanics of
Open Systems . . . . . . . . . . . . . . 946--958
C. Fronsdal and
Harun Ar-Rashid Matrix elements of operators of class I
representations of ${\rm SL}(n, C)$ . . 959--964
R. G. Storer Path-Integral Calculation of the
Quantum-Statistical Density Matrix for
Attractive Coulomb Forces . . . . . . . 964--970
W. J. Cocke and
Jeffrey M. Cohen Cauchy Problem in the Scalar-Tensor
Gravitational Theory . . . . . . . . . . 971--973
John Gabriel New Methods for Reduction of Group
Representations. II . . . . . . . . . . 973--976
Leonard M. Scarfone Tamm--Dancoff Method in the 2V Sector of
the Lee Model . . . . . . . . . . . . . 977--983
Amnon Katz Derivation of Newton's Law of
Gravitation from General Relativity . . 983--985
Norman Dombey and
R. H. Jones Analyticity Properties of the Scattering
Amplitude for Singular Potentials . . . 986--995
Gerald Rosen Particlelike Solutions to Nonlinear
Complex Scalar Field Theories with
Positive-Definite Energy Densities . . . 996--998
Gerald Rosen Charged Particlelike Solutions to
Nonlinear Complex Scalar Field Theories 999--1002
F. Calogero and
O. D. Corbella and
A. Degasperis and
M. B. De Stefano Variational Bounds for the Potential in
Terms of the $S$-Wave Phase Shift . . . 1002--1006
John F. Nagle Weak-Graph Method for Obtaining Formal
Series Expansions for Lattice
Statistical Problems . . . . . . . . . . 1007--1019
J. F. Nagle and
H. N. V. Temperley Combinatorial Theorem for Graphs on a
Lattice . . . . . . . . . . . . . . . . 1020--1026
E. G. Beltrametti and
A. A. Blasi Rotation and Lorentz Groups in a Finite
Geometry . . . . . . . . . . . . . . . . 1027--1035
Robert L. Conger Model for Converging Detonations in
Solid Explosives . . . . . . . . . . . . 1036--1040
P. R. Smith and
B. G. Wybourne Plethysm and the Theory of Complex
Spectra . . . . . . . . . . . . . . . . 1040--1051
M. Misra Type-Null Vacuum Solutions in General
Relativity . . . . . . . . . . . . . . . 1052--1052
William J. Kaufmann III Radiating Spheres in the Scalar-Tensor
Theory of General Relativity . . . . . . 1053--1057
V. Syamala Devi and
T. Venkatarayudu Bases for the Representations of ${\rm
U}_4$ in the Chain $ {\rm U}_4 \supset
{\rm U}_2 + {\rm U}_2$ . . . . . . . . . 1057--1058
Colin J. Thompson Spherical Model as an Instance of
Eigenvalue Degeneracy . . . . . . . . . 1059--1062
Richard A. Matzner 3-Sphere ``Backgrounds'' for the Space
Sections of the Taub Cosmological
Solution . . . . . . . . . . . . . . . . 1063--1067
P. L. Corio Construction of Orthonormal
Angular-Momentum Operators . . . . . . . 1067--1071
J. M. Stewart and
G. F. R. Ellis Solutions of Einstein's Equations for a
Fluid Which Exhibit Local Rotational
Symmetry . . . . . . . . . . . . . . . . 1072--1082
Lloyd Armstrong, Jr. Relativistic Effects in Atomic Fine
Structure. II . . . . . . . . . . . . . 1083--1086
R. G. Gordon Error Bounds in Spectroscopy and
Nonequilibrium Statistical Mechanics . . 1087--1092
Philip Pearle Construction of an Invariance from a
Conservation Law, and Vice Versa, in
Classical Mechanics . . . . . . . . . . 1092--1102
R. C. Whitten and
F. T. Smith Symmetric Representation for Three-Body
Problems. II. Motion in Space . . . . . 1103--1113
J. F. McDonald and
L. D. Favro Nearest-Neighbor Spacing Distribution
for an Ensemble of Random Matrices with
a Nonrandom Bias . . . . . . . . . . . . 1114--1119
Oscar E. Lanford III and
Derek W. Robinson Mean Entropy of States in
Quantum-Statistical Mechanics . . . . . 1120--1125
M. Lutzky Parameter Differentiation of Exponential
Operators and the
Baker--Campbell--Hausdorff Formula . . . 1125--1128
M. Rosenblatt Remarks on the Burgers Equation . . . . 1129--1136
John L. Challifour Time-Ordered Products in Two-Dimensional
Field Theories . . . . . . . . . . . . . 1137--1145
M. Pauri and
G. M. Prosperi Canonical Realizations of the Galilei
Group . . . . . . . . . . . . . . . . . 1146--1162
Willard Miller, Jr. Special Functions and the Complex
Euclidean Group in $3$-Space. I . . . . 1163--1175
Willard Miller, Jr. Special Functions and the Complex
Euclidean Group in $3$-Space. II . . . . 1175--1187
P. Pajas and
R. Raczka Degenerate representations of the
symplectic groups. I. The compact group
${\rm Sp}(n)$ . . . . . . . . . . . . . 1188--1201
Robert M. Miura Korteweg--de Vries Equation and
Generalizations. I. A Remarkable
Explicit Nonlinear Transformation . . . 1202--1204
Robert M. Miura and
Clifford S. Gardner and
Martin D. Kruskal Korteweg--de Vries equation and
generalizations. II. Existence of
conservation laws and constants of
motion . . . . . . . . . . . . . . . . . 1204--1209
Erasmo M. Ferreira and
Nilo Guillén and
Javier Sesma Properties of the $S$ matrix for
velocity-dependent potentials . . . . . 1210--1223
N. Kemmer and
D. L. Pursey and
S. A. Williams Irreducible Representations of the
Five-Dimensional Rotation Group. I . . . 1224--1230
S. A. Williams and
D. L. Pursey Irreducible Representations of the
Five-Dimensional Rotation Group. II . . 1230--1240
Pierre C. Sabatier Approach to Scattering Problems through
Interpolation Formulas and Application
to Spin-Orbit Potentials . . . . . . . . 1241--1258
Mayer Humi Extension of the Factorization Method 1258--1265
Abraham Kadish Extended Energy-Integral Technique for
Linear Differential Equations . . . . . 1266--1269
Marvin M. Miller Convergence of the Sudarshan Expansion
for the Diagonal Coherent-State Weight
Functional . . . . . . . . . . . . . . . 1270--1274
Amitabha Chakrabarti and
Monique Levy-Nahas and
Roland Seneor `Lorentz basis' of the Poincaré group . . 1274--1283
Robert B. Griffiths and
J. L. Lebowitz Random spin systems: Some rigorous
results . . . . . . . . . . . . . . . . 1284--1292
Kenneth J. Miller Two-Center Coulomb and Hybrid Integrals 1292--1294
S. M. Razaullah Ansari Quasibinomial representations of
Clebsch--Gordan coefficients. I. Square
symbol . . . . . . . . . . . . . . . . . 1295--1299
S. M. Razaullah Ansari Quasibinomial Representations of
Clebsch--Gordan Coefficients. II.
``Negative'' Representations . . . . . . 1299--1305
Joe Rosen Construction of Invariants for Lie
Algebras of Inhomogeneous
Pseudo-Orthogonal and Pseudo-Unitary
Groups . . . . . . . . . . . . . . . . . 1305--1307
G. W. Swan Current Distribution in a Thin
Superconducting Strip . . . . . . . . . 1308--1312
A. Casher and
D. Lurié and
M. Revzen Functional Integrals for Many-Boson
Systems . . . . . . . . . . . . . . . . 1312--1318
C. V. Vishveshwara Generalization of the ``Schwarzschild
Surface'' to Arbitrary Static and
Stationary Metrics . . . . . . . . . . . 1319--1322
G. Pinski Interaction of Particlelike Solutions in
a Classical Nonlinear Model Field Theory 1323--1326
R. W. Richardson Exactly Solvable Many-Boson Model . . . 1327--1343
J. Ehlers and
P. Geren and
R. K. Sachs Isotropic solutions of the
Einstein--Liouville equations . . . . . 1344--1349
W. S. Woolcock Asymptotic Behavior of Stieltjes
Transforms. II . . . . . . . . . . . . . 1350--1356
Peter R. Fontana and
William J. Meath One- and two-center expansions of the
Breit--Pauli Hamiltonian . . . . . . . . 1357--1364
P. D. Robinson and
A. M. Arthurs Some Variational Principles for Integral
Equations . . . . . . . . . . . . . . . 1364--1368
John J. Sullivan Antisymmetric Projection in the
Approximation of No Spin-Orbit Coupling 1369--1374
M. L. Mehta and
P. K. Srivastava Irreducible Corepresentations of Groups
Having a Compact Simple Lie Group as a
Subgroup of Index 2 . . . . . . . . . . 1375--1385
K. J. Whiteman and
B. McNamara Invariants of Nearly Periodic
Hamiltonian Systems. II . . . . . . . . 1385--1389
James P. Fink Asymptotic Estimates of Feynman
Integrals . . . . . . . . . . . . . . . 1389--1400
Dave Pandres and
Donald A. Jacobson Scalar Product for Harmonic Functions of
the Group ${\rm SU}(2)$ . . . . . . . . 1401--1403
Eugene R. Speer Analytic Renormalization . . . . . . . . 1404--1410
James E. Turner Violation of the Quantum Ordering of
Propositions in Hidden-Variable Theories 1411--1415
F. J. Ynduráin Lorentz Covariant Distributions . . . . 1415--1422
F. J. Ynduráin ``Haag Theorem'' for the Point-Coupling
Relativistic Lee Model . . . . . . . . . 1423--1424
Kenneth Rafanelli Generalized Second-Order Relativistic
Wave Equations. I . . . . . . . . . . . 1425--1428
L. D. Favro and
J. F. McDonald Ensemble of Random Matrices with a
Random Bias . . . . . . . . . . . . . . 1429--1434
Willard Miller, Jr. Special Functions and the Complex
Euclidean Group in $3$-Space. III . . . 1434--1444
H. F. Tiersten Natural Boundary and Initial Conditions
from a Modification of Hamilton's
Principle . . . . . . . . . . . . . . . 1445--1451
Garrison Sposito Quantum-Ergodic Problem . . . . . . . . 1452--1456
Rubin Goldstein Iterative Solutions by Means of Trial
Operators . . . . . . . . . . . . . . . 1456--1461
R. F. Keam Reduction of the Bethe--Salpeter
Equation for a Zero-Mass System . . . . 1462--1467
A. L. Licht Background Dependence of Local States 1468--1475
A. L. Licht Coherent Superposition of Local States 1476--1480
Edgar A. Kraut Elastic-Wave Propagation and the
Factorization of Matrix-Valued Functions
of Several Complex Variables . . . . . . 1481--1487
L. T. Klauder, Jr. and
J. G. Gay Note on Zak's Method for Constructing
Representations of Space Groups . . . . 1488--1489
D. Atkinson and
A. P. Contogouris Diffraction Scattering and Vector-Meson
Resonances . . . . . . . . . . . . . . . 1489--1500
H. Cornille and
G. Rubinstein Threshold-Behavior Requirements for
$P$-Wave $N / D$ Equations . . . . . . . 1501--1516
Yuri V. Novozhilov and
Igor A. Terentjev Unitary representations of the
generalized Poincaré groups . . . . . . . 1517--1526
T. Burke and
J. L. Lebowitz Note on Statistical Mechanics of Random
Systems . . . . . . . . . . . . . . . . 1526--1534
Robert Nyden Hill Quantum Corrections to the Second Virial
Coefficient at High Temperatures . . . . 1534--1547
Henry P. Stapp Crossing, Hermitian Analyticity, and the
Connection between Spin and Statistics 1548--1592
S. P. Rosen TCP Invariance and the Dimensionality of
Space--time . . . . . . . . . . . . . . 1593--1594
Emile Grgin Null and Pseudonull Data for Scalar
Fields . . . . . . . . . . . . . . . . . 1595--1601
I. Bialynicki-Birula and
J. Piasecki Green's Functions for the Ising Chain 1602--1605
Henri Bacry and
Jean-Marc Lévy-Leblond Possible Kinematics . . . . . . . . . . 1605--1614
Tsu Yao Unitary Irreducible Representations of
${\rm SU}(2, 2)$. II . . . . . . . . . . 1615--1626
H. A. Mavromatis and
K. Schilcher Inverse Functions of the Products of Two
Bessel Functions and Applications to
Potential Scattering . . . . . . . . . . 1627--1632
Porter Johnson High-Energy Fixed-Angle Potential
Scattering . . . . . . . . . . . . . . . 1633--1638
H. D. Doebner and
O. Melsheimer Limitable dynamical groups in quantum
mechanics. I. General theory and a
spinless model . . . . . . . . . . . . . 1638--1656
Richard A. Matzner Almost Symmetric Spaces and
Gravitational Radiation . . . . . . . . 1657--1668
William H. Klink Multiplicity Problem for Compact
Subgroups of Noncompact Groups . . . . . 1669--1679
R. B. McQuistan and
D. Lichtman Exact Occupation Kinetics for
One-Dimensional Arrays of Dumbbells . . 1680--1684
P. O. G. Ehrhardt and
D. B. Fairlie Crossing and Unitarity in a Multichannel
Static Model. I . . . . . . . . . . . . 1685--1689
José A. de Azcárraga and
Luis J. Boya Poincaré Group and the Invariant
Relativistic Equations for Massive
Particles of Any Spin . . . . . . . . . 1689--1693
Amnon Katz Retarded and Advanced Electromagnetic
Fields in Friedmann Universes . . . . . 1694--1700
M. M. Carroll and
R. S. Rivlin Electro-Optical Effects. II . . . . . . 1701--1704
Shoon Kyung Kim Modified Admittance, Perpendicular
Susceptibilities, and Transformation of
Correlations of the Ising Model . . . . 1705--1714
B. K. Datta and
A. K. Raychaudhuri Stationary Electromagnetic Fields in
General Relativity . . . . . . . . . . . 1715--1718
Paul Federbush Local Operator Algebras in the Presence
of Superselection Rules . . . . . . . . 1718--1721
I. K. Abu-Shumays and
E. H. Bareiss Generating Functions for the Exact
Solution of the Transport Equation. I 1722--1731
Joseph Kahane Algorithm for Reducing Contracted
Products of $\gamma$ Matrices . . . . . 1732--1738
Robert Geroch Spinor Structure of Space--times in
General Relativity. I . . . . . . . . . 1739--1744
B. Kent Harrison New Solutions of the Einstein--Maxwell
Equations from Old . . . . . . . . . . . 1744--1752
Robert L. Bowden and
Norman R. Richardson Solution of the equations of Radiative
Transfer in a free-electron atmosphere 1753--1761
David Finkelstein and
Julio Rubinstein Connection between Spin, Statistics, and
Kinks . . . . . . . . . . . . . . . . . 1762--1779
Donald H. Kobe Principle of compensation of dangerous
diagrams for boson systems. I. Maximum
overlap . . . . . . . . . . . . . . . . 1779--1794
Donald H. Kobe Principle of compensation of dangerous
diagrams for boson systems. II. Minimum
quasiparticle number . . . . . . . . . . 1795--1805
Rémi Hakim Relativistic Stochastic Processes . . . 1805--1818
D. A. Dunnett and
E. W. Laing and
J. B. Taylor Invariants in the Motion of a Charged
Particle in a Spatially Modulated
Magnetic Field . . . . . . . . . . . . . 1819--1823
A. McKerrell Kinematic Singularities of Helicity and
Transversity Amplitudes and Asymptotic
Regge-Pole Contributions . . . . . . . . 1824--1832
Charles Roth Spin-orbit interactions of the
configuration $\ell^{n-1}\ell'\ell''$ 1832--1834
P. Carruthers Local field theory and isospin
invariance. II. Free field theory of
arbitrary spin particles . . . . . . . . 1835--1845
A. D. Levine and
C. F. Hayes Variational Approach to Multiple
Scattering . . . . . . . . . . . . . . . 1845--1847
D. Atkinson Narrow Resonance Saturation of Sum
Rules: A Nonuniqueness Theorem . . . . . 1848--1864
R. T. Compton, Jr. One- and Two-Dimensional Green's
Functions for Electromagnetic Waves in
Moving Simple Media . . . . . . . . . . 1865--1872
M. M. R. Williams Diffusion length and criticality
problems in two- and three-dimensional,
one-speed neutron transport theory. I.
Rectangular coordinates . . . . . . . . 1873--1885
M. M. R. Williams Diffusion length and criticality
problems in two- and three-dimensional,
one-speed neutron transport theory. II.
Circular cylindrical coordinates . . . . 1885--1889
William M. Frank Strong-Coupling Limit in Potential
Theory. II . . . . . . . . . . . . . . . 1890--1898
K. Chadan and
A. Montes Derivation of nonrelativistic sum rules
from the causality condition of Wigner
and Van Kampen . . . . . . . . . . . . . 1898--1914
José Canosa and
Julian Cole Asymptotic Behavior of Certain Nonlinear
Boundary-Value Problems . . . . . . . . 1915--1921
Willard R. Chappell Microscopic approach to kinetic theory:
Inhomogeneous systems . . . . . . . . . 1921--1926
G. Pinski Galilean Tensor Calculus . . . . . . . . 1927--1930
J. R. Jasperse Approach to the Three-Body Scattering
Problem . . . . . . . . . . . . . . . . 1931--1936
R. Delbourgo Representation Functions for the
Degenerate Baryon Series in ${\rm U}(6)
\otimes {\rm U}(6)$ . . . . . . . . . . 1936--1939
Ralph G. Tross and
Louis H. Lund Cell model of a fluid. I. Evaluation of
the partition function and series
expansions . . . . . . . . . . . . . . . 1940--1956
Ralph G. Tross and
Louis H. Lund Cell model of a fluid. II. Thermodynamic
properties of the system . . . . . . . . 1957--1975
H. R. Lewis, Jr. Class of Exact Invariants for Classical
and Quantum Time-Dependent Harmonic
Oscillators . . . . . . . . . . . . . . 1976--1986
Moshe Carmeli Representations of the Three-Dimensional
Rotation Group in Terms of Direction and
Angle of Rotation . . . . . . . . . . . 1987--1992
I. K. Abu-Shumays and
E. H. Bareiss Generating functions for the exact
solution of the transport equation. II.
Time-dependent with anisotropic
scattering . . . . . . . . . . . . . . . 1993--2001
Éamon Lalor Inverse Wave Propagator . . . . . . . . 2001--2006
N. S. Gillis Response of a Many-Particle System to
Quasistatic Changes in Volume . . . . . 2007--2016
Thomas P. Mitchell and
J. A. Burns Relativistic Dynamics of a Point Charge
in a Magnetic-Monopole Field . . . . . . 2016--2017
Ercüment Özizmir Transmission and Reflection of
Electromagnetic Waves at the Boundary of
a Relativistic Collisionless Plasma . . 2018--2028
G. C. Hegerfeldt and
K. Kraus and
E. P. Wigner Proof of the Fermion superselection rule
without the assumption of time-reversal
invariance . . . . . . . . . . . . . . . 2029--2031
José Canosa Nonlinear Boundary-Value Problems in
One- and Two-Dimensional Composite
Domains . . . . . . . . . . . . . . . . 2032--2036
N. Anderson and
A. M. Arthurs Variational Solutions of Nonlinear
Poisson--Boltzmann Boundary-Value
Problems . . . . . . . . . . . . . . . . 2037--2038
Harry E. Moses Reduction of reducible representations
of the Poincaré group to standard
helicity representations . . . . . . . . 2039--2049
Roger G. Newton Determination of the Amplitude from the
Differential Cross Section by Unitarity 2050--2055
Murray Muraskin Interpretation of $\Gamma_{[j k]}^i$ in
a Huygens Model . . . . . . . . . . . . 2056--2060
D. Radhakrishnan On the Clebsch--Gordan Series of a
Semisimple Lie Algebra . . . . . . . . . 2061--2063
Masuo Suzuki Theorems on the Ising Model with General
Spin and Phase Transition . . . . . . . 2064--2068
E. M. Barston Eigenvalue Problem for Lagrangian
Systems. III . . . . . . . . . . . . . . 2069--2075
Raphael Hòegh-Krohn Asymptotic Fields in Some Models of
Quantum Field Theory. I . . . . . . . . 2075--2080
K. C. Chen and
J. L. Yen Green's Functions for Electromagnetic
Waves in Moving Lossy Media . . . . . . 2081--2086
A. Chakrabarti Class of Representations of the ${\rm
IU}(n)$ and ${\rm IO}(n)$ Algebras and
Respective Deformations to ${\rm U}(n,
1)$, ${\rm O}(n, 1)$ . . . . . . . . . . 2087--2100
Jacob G. Kuriyan and
N. Mukunda and
E. C. G. Sudarshan Master Analytic Representation:
Reduction of ${\rm O}(2, 1)$ in an ${\rm
O}(1, 1)$ Basis . . . . . . . . . . . . 2100--2108
Gerald Speisman Auxiliary Variables in Statistical
Mechanics: Variational Principle . . . . 2109--2120
Gideon Carmi First-Order Phase Transitions in
Quantum-Coulomb Plasmas . . . . . . . . 2120--2131
M. I. Sobel Differential equations for
Half-off-shell matrix elements . . . . . 2132--2137
A. Aviran and
J. Zak Matrix Elements in Systems with
Nonunitary Symmetry . . . . . . . . . . 2138--2145
D. Tz. Stoyanov and
I. T. Todorov Majorana Representations of the Lorentz
Group and Infinite-Component Fields . . 2146--2167
Clifford Risk Analyticity of the Envelope Diagrams . . 2168--2172
A. J. F. Siegert and
David J. Vezzetti On the Ising Model with Long-Range
Interaction . . . . . . . . . . . . . . 2173--2193
W. Kundt and
E. T. Newman Hyperbolic Differential Equations in Two
Dimensions . . . . . . . . . . . . . . . 2193--2210
Jean-Pierre Lebrun Class of Solutions of the Physical
$3$-Particle Unitarity Equations in
Static $S$-Matrix Theory . . . . . . . . 2211--2225
C. P. Luehr and
M. Rosenbaum Intrinsic Spinor Techniques with
Applications to the Lorentz Group and
the Dirac Equation . . . . . . . . . . . 2225--2236
Hsin-i Wu and
Paul W. Schmidt Theory of the Small-Angle X-Ray
Scattering from Randomly Oriented Plane
Laminas . . . . . . . . . . . . . . . . 2237--2252
Robert J. Rubin Transmission Properties of an
Isotopically Disordered One-Dimensional
Harmonic Crystal . . . . . . . . . . . . 2252--2266
M. M. Carroll and
R. S. Rivlin Electro-Optical Effects. III . . . . . . 2267--2278
P. V. Landshoff Cayley transform of the $S$ matrix . . . 2279--2282
John A. Thorpe Curvature and the Petrov Canonical Forms 1--7
Kenneth Millard Translational Invariance Properties of a
Finite One-Dimensional Hard-Core Fluid
Using the Grand Canonical Ensemble . . . 7--13
I. Lerche Instability of Transverse Waves in a
Relativistic Plasma . . . . . . . . . . 13--20
Shau-Jin Chang and
L. O'Raifeartaigh Unitary representations of ${\rm SL}(2,
C)$ in an ${\rm E}(2)$ basis . . . . . . 21--29
W. Zickendraht Configuration-Space Approach to the
Four-Particle Problem . . . . . . . . . 30--37
Roger Penrose Solutions of the Zero-Rest-Mass
Equations . . . . . . . . . . . . . . . 38--39
J. F. Dobson Many-Neighbored Ising Chain . . . . . . 40--45
Rodger L. Gamblin Comments on the Classical Theory of
Magnetic Monopoles . . . . . . . . . . . 46--48
H. W. Gould Note on Two Binomial Coefficient
Identities of Rosenbaum . . . . . . . . 49--50
Paul Federbush Partially alternate derivation of a
result of Nelson . . . . . . . . . . . . 50--52
J. P. Antoine Dirac formalism and symmetry problems in
quantum mechanics. I. General Dirac
formalism . . . . . . . . . . . . . . . 53--69
Brandon Carter Killing Horizons and Orthogonally
Transitive Groups in Space--time . . . . 70--81
H. M. Nussenzveig High-Frequency Scattering by a
Transparent Sphere. I. Direct Reflection
and Transmission . . . . . . . . . . . . 82--124
H. M. Nussenzveig High-frequency scattering by a
transparent sphere. II. Theory of the
Rainbow and the Glory . . . . . . . . . 125--176
Chanchal K. Majumdar Problem of Two Spin Deviations in a
Linear Chain with Next-Nearest-Neighbor
Interactions . . . . . . . . . . . . . . 177--180
Shimshon Zimering Some Asymptotic Behavior of Stieltjes
Transforms . . . . . . . . . . . . . . . 181--183
Michael M. Broido and
John G. Taylor Bethe--Salpeter Equation . . . . . . . . 184--209
A. Kuszell Kinetic Description of an Inhomogeneous
Plasma . . . . . . . . . . . . . . . . . 210--220
Mikael Ciftan and
L. C. Biedenharn Combinatorial structure of state vectors
in $U_n$. I. Hook patterns for maximal
and semimaximal states in $U_n$ . . . . 221--232
G. C. Summerfield and
P. F. Zweifel Relationships among Generalized
Phase-Space Distributions . . . . . . . 233--235
W. H. Kleiner and
T. A. Kaplan Symmetry of the Ground Level of a
Hamiltonian . . . . . . . . . . . . . . 236--238
Lawrence Sirovich and
James K. Thurber Wave Propagation and Other Spectral
Problems in Kinetic Theory . . . . . . . 239--249
J. L. Neuringer Closed-Form Solution of the Differential
Equation $(\partial^2 / (\partial x
\partial y) + a x \partial / \partial x
+ b y \partial / \partial y + c x y +
\partial / \partial t ) P = 0$ Subject
to the Initial Condition $P(x, y, t = 0)
= \Phi(x, y)$ . . . . . . . . . . . . . 250--251
R. M. Delaney and
B. Gruber Inner and Restriction Multiplicity for
Classical Groups . . . . . . . . . . . . 252--265
James J. Duderstadt Theory of the Propagation of the
Plane-Wave Disturbances in a
Distribution of Thermal Neutrons . . . . 266--276
Arturo Cisneros and
Harold V. McIntosh Symmetry of the Two-Dimensional Hydrogen
Atom . . . . . . . . . . . . . . . . . . 277--286
Hans G. Kaper Elementary Solutions of the Reduced
Three-Dimensional Transport Equation . . 286--297
Mahmoud M. Bakri de Sitter symmetric field theory. I.
One-particle theory . . . . . . . . . . 298--320
Robert L. Mills and
John F. Reading Inversion Problem with Separable
Potentials . . . . . . . . . . . . . . . 321--331
R. Mirman Classification and Complete Reducibility
of Representations of Compact
Inhomogeneous Groups and Algebras . . . 331--338
P. O. G. Ehrhardt and
D. B. Fairlie Crossing and Unitarity in a Multichannel
Static Model. II . . . . . . . . . . . . 339--341
Martin H. Millman and
Joseph B. Keller Perturbation Theory of Nonlinear
Boundary-Value Problems . . . . . . . . 342--361
J. B. Morton and
S. Corrsin Experimental Confirmation of the
Applicability of the Fokker--Planck
Equation to a Nonlinear Oscillator . . . 361--368
Joshua N. Goldberg and
Ezra T. Newman Generalization of Green's Theorem . . . 369--370
Joseph Coster and
Henry P. Stapp Physical-Region Discontinuity Equations
for Many-Particle Scattering Amplitudes.
I . . . . . . . . . . . . . . . . . . . 371--396
E. H. Hauge and
E. G. D. Cohen Normal and Abnormal Diffusion in
Ehrenfests' Wind-Tree Model . . . . . . 397--414
Gerald Rosen and
J. A. Okolowski and
Gene Eckstut Functional Integration Theory for
Incompressible Fluid Turbulence. II . . 415--421
Platon C. Deliyannis and
Evangelos K. Ifantis Spectral Theory of the Difference
Equation $f(n + 1) + f(n - 1) = [E -
\phi(n)] f(n)$ . . . . . . . . . . . . . 421--425
Timothy P. Coffey, Jr. Invariants to All Orders in Classical
Perturbation Theory . . . . . . . . . . 426--438
Robert L. W. Chen and
Thomas H. Neighbors Isoperimetric Solutions Related to the
Thermodynamics of Plasmas . . . . . . . 439--442
J. M. Hammersley and
A. Feuerverger and
A. Izenman and
K. Makani Negative Finding for the
Three-Dimensional Dimer Problem . . . . 443--446
James R. Wait Approach to the Mode Conversion Problem
in Nonuniform Acoustic Waveguides . . . 447--451
Guy Boillat Ray Velocity and Exceptional Waves: A
Covariant Formulation . . . . . . . . . 452--454
M. Moshinsky and
V. Syamala Devi General Approach to Fractional Parentage
Coefficients . . . . . . . . . . . . . . 455--466
B. G. Wybourne Hermite's Reciprocity Law and the
Angular-Momentum States of Equivalent
Particle Configurations . . . . . . . . 467--471
Peter D. Robinson Complementary Bounds for Ground-State
Energies . . . . . . . . . . . . . . . . 472--474
E. M. Baroody Frequency Spectrum and Momentum
Autocorrelation Function for a Simple
Lattice . . . . . . . . . . . . . . . . 475--479
Chung-Yu Ting Theoretical Study of Finite
Dielectric-Coated Cylindrical Antenna 480--493
M. J. W. Bloxham and
D. I. Olive and
J. C. Polkinghorne $S$-matrix singularity structure in the
physical region. I. Properties of
multiple integrals . . . . . . . . . . . 494--502
Richard M. Spector High-Energy Scattering Cross Section for
Singular Potentials at Large Angles . . 503--505
J. E. Moyal Mean Ergodic Theorems in Quantum
Mechanics . . . . . . . . . . . . . . . 506--509
Robert L. Zimmerman Bound States of a New Kind in Quantum
Field Theory . . . . . . . . . . . . . . 509--518
Awele Maduemezia Partial-Wave Analysis in Terms of ${\rm
SL}(2, C) / {\rm SU}(2)$ Harmonic
Functions . . . . . . . . . . . . . . . 519--523
G. E. Hahne Analytic continuation of Appell's
hypergeometric series $F_2$ to the
vicinity of the singular point $x = 1$,
$y = 1$ . . . . . . . . . . . . . . . . 524--531
Douglas Francis Holland Finite Transformations of ${\rm SU}_3$ 531--535
C. H. Su and
C. S. Gardner Korteweg--de Vries equation and
generalizations. III. Derivation of the
Korteweg--de Vries equation and Burgers
equation . . . . . . . . . . . . . . . . 536--539
Johannes H. van der Merwe and
Alwyn J. van der Merwe Second-Order Dispersion-Energy Series
for Axially Symmetric Molecules . . . . 539--544
M. J. W. Bloxham and
D. I. Olive and
J. C. Polkinghorne $S$-matrix singularity structure in the
physical region. II. Unitarity integrals 545--552
M. J. W. Bloxham and
D. I. Olive and
J. C. Polkinghorne $S$-matrix singularity structure in the
physical region. III. General discussion
of simple Landau singularities . . . . . 553--561
F. Calogero and
C. Marchioro Lower Bounds to the Ground-State Energy
of Systems Containing Identical
Particles . . . . . . . . . . . . . . . 562--569
Moshe Carmeli Group-Theoretic Approach to the New
Conserved Quantities in General
Relativity . . . . . . . . . . . . . . . 569--574
Anton Z. Capri Electron in a Given Time-Dependent
Electromagnetic Field . . . . . . . . . 575--580
S. Pahor and
P. F. Zweifel Invariant imbedding and Case
eigenfunctions . . . . . . . . . . . . . 581--589
Kurt Meetz Realization of Chiral Symmetry in a
Curved Isospin Space . . . . . . . . . . 589--593
R. F. Keam Solution of the Bethe--Salpeter Equation
with a Square-Well Potential . . . . . . 594--603
David W. Howgate Method for the Evaluation of Certain
Time-Dependent Thermal Averages . . . . 604--606
William H. Klink Unitary representations of the Poincaré
Group contained in a class of
representations of the conformal group 606--613
Jagannathan Gomatam and
F. Rohrlich Powers of the $D$ Functions . . . . . . 614--616
Gerald H. Katzin and
Jack Levine and
William R. Davis Curvature Collineations: A Fundamental
Symmetry Property of the Space--times of
General Relativity Defined by the
Vanishing Lie Derivative of the Riemann
Curvature Tensor . . . . . . . . . . . . 617--629
Asher Peres Renormalization of a Finite Matrix
Hamiltonian . . . . . . . . . . . . . . 629--632
G. E. Tauber Massive vector meson interacting with
the gravitational field. I. General
formalism . . . . . . . . . . . . . . . 633--638
Raphael Hòegh-Krohn Asymptotic Fields in Some Models of
Quantum Field Theory. II . . . . . . . . 639--643
Leonard Eyges Ground-State Many-Boson Problem with
Repulsive Potentials . . . . . . . . . . 644--654
William R. Ross and
John R. Taylor Some Analytic Properties of Scattering
Amplitudes for Long-Range Forces . . . . 654--660
W. E. Brittin and
W. R. Chappell Functional methods in statistical
mechanics. I. Classical theory . . . . . 661--674
Clas Blomberg Functional Integrals Representing
Distribution Functions in Statistical
Mechanics . . . . . . . . . . . . . . . 675--682
Takehiko Ishidzu and
Hideo Kawarada and
Masachiyo Sato ${\rm SU}_3$ Algebra in the Mixed-Shell
Space $(0 p, 0 d, 1 s)$. I . . . . . . . 683--688
Kenneth M. Watson Multiple Scattering of Electromagnetic
Waves in an Underdense Plasma . . . . . 688--702
Mark L. Yoseloff and
Harold W. Kuhn Combinatorial approach to the
$N$-representability of $P$-density
matrices . . . . . . . . . . . . . . . . 703--706
Peter B. Kahn and
N. Rosenzweig Level Density of a Fermi System:
Nonperiodic Perturbations of the
Energy-Level Scheme . . . . . . . . . . 707--715
F. H. Northover Sufficiency Condition for the Validity
of the WKB Approximation . . . . . . . . 715--724
Ernest R. Davidson Linear Inequalities for Density Matrices 725--734
R. Stabell First-Order Approximation to a
Spherically Symmetric Solution of
Einstein's Equations . . . . . . . . . . 735--739
William G. Harter Algebraic Theory of Ray Representations
of Finite Groups . . . . . . . . . . . . 739--752
Elliott W. Montroll Random walks on lattices. III.
Calculation of first-passage times with
application to exciton trapping on
photosynthetic units . . . . . . . . . . 753--765
James Thompson and
Glen Schrank Algebraic Classification of
Four-Dimensional Riemann Spaces . . . . 766--770
Vedene H. Smith, Jr. and
Frank E. Harris Projection of Exact Spin Eigenfunctions 771--778
Huan Lee On the Isospin Crossing Matrix . . . . . 779--787
Benjamin P. Carter Partial separation of the Schrödinger
equation for two charged particles in a
magnetic field . . . . . . . . . . . . . 788--791
W. Rühl Classical Fields on Spacelike Mass
Shells . . . . . . . . . . . . . . . . . 791--798
Jack Cohn Considerations on the Classical Spinning
Electron . . . . . . . . . . . . . . . . 799--805
Jean-Marc Lévy-Leblond Nonsaturation of Gravitational Forces 806--812
S. K. Bose and
R. Parker Zero-mass representation of Poincaré
group and conformal invariance . . . . . 812--813
George A. Baker, Jr. Best error bounds for Padé approximants
to convergent series of Stieltjes . . . 814--820
A. Navon Criteria for Slater Determinants and
Quasiparticle Vacuum States . . . . . . 821--826
Colston Chandler and
Henry P. Stapp Macroscopic Causality Conditions and
Properties of Scattering Amplitudes . . 826--859
S. A. Dunne Application of the Kirillov Theory to
the Representations of ${\rm O}(2, 1)$ 860--868
Chungpeng Fan Solution of the Dimer Problem by the
$S$-Matrix Method . . . . . . . . . . . 868--871
A. Gamba Lie-like Approach to the Theory of
Representations of Finite Groups . . . . 872--874
Alan G. Gibbs Analytical solutions of the Neutron
transport equation in arbitrary convex
geometry . . . . . . . . . . . . . . . . 875--890
K. F. Casey and
J. R. Matthes and
C. Yeh Wave Propagation in Sinusoidally
Stratified Plasma Media . . . . . . . . 891--897
N. Mukunda Expansion of Lie Groups and
Representations of ${\rm SL}(3, C)$ . . 897--911
John E. Molyneux Statistical Properties of
Polycrystalline Dielectrics . . . . . . 912--917
Jerzy Lukierski Analytic Representations of Two-Point
Functions with Noncanonical Light-Cone
Singularities. I . . . . . . . . . . . . 918--924
Michael J. Moravcsik and
Wing-Yin Yu Determination of Invariant Amplitudes
from Experimental Observables . . . . . 925--928
Robert G. Cawley Hamilton--Dirac Theory of Hamilton's
Equations . . . . . . . . . . . . . . . 928--932
Eduard Prugovecki Measure-Theoretical Description of
Klein--Gordon Multiparticle States . . . 933--945
Porter W. Johnson Orear Behavior in Potential Scattering.
II . . . . . . . . . . . . . . . . . . . 946--953
Richard B. Hoffman Stationary ``Noncanonical'' Solutions of
the Einstein Vacuum Field Equations . . 953--956
R. Delbourgo and
K. Koller and
Ruth M. Williams Degenerate representation functions for
${\rm SO}(\nu)$, ${\rm SU}(\nu)$, and
${\rm SU}(\nu) \otimes {\rm SU}(\nu)$
and their analytical reductions . . . . 957--963
P. Résibois and
J. Brocas and
G. Decan Comments on Kinetic Equation for
Autocorrelation Functions . . . . . . . 964--974
Yutze Chow Gel'fand--Kirillov Conjecture on the Lie
Field of an Algebraic Lie Algebra . . . 975--992
M. D. Girardeau Broken Symmetry and Generalized Bose
Condensation in Restricted Geometries 993--998
Timothy P. Coffey and
G. W. Ford Nonlinear Perturbations . . . . . . . . 998--1003
Martin C. Gutzwiller Phase-Integral Approximation in Momentum
Space and the Bound States of an Atom.
II . . . . . . . . . . . . . . . . . . . 1004--1020
B. U. Felderhof Dynamics near Equilibrium of Systems
Described in Thermal Hartree--Fock
Approximation . . . . . . . . . . . . . 1021--1025
R. W. Gibberd Next-Nearest-Neighbor Ising Model . . . 1026--1029
P. C. Peters Geometrization of the Brans--Dicke
Scalar Field . . . . . . . . . . . . . . 1029--1031
Tai-ichi Shibuya and
Oktay Sinanoglu Expansion of the Density Matrix of an
$N$-Fermion System in Terms of the
Correlation Densities of Fermion
Clusters . . . . . . . . . . . . . . . . 1032--1037
C. Roth Algebraic Matrices for the
Configurations $(d + s)^n p$ . . . . . . 1038--1044
L. M. Garrido General Interaction Picture from Action
Principle for Mechanics . . . . . . . . 1045--1056
C. Lanczos Quadratic Action Principle of Relativity 1057--1065
M. K. F. Wong Representations of the orthogonal group.
II. Polynomial bases for the irreducible
representations of the orthogonal group 1065--1068
H. S. Green and
T. Triffet Co-diagonal perturbations . . . . . . . 1069--1089
John A. Davies and
Peter D. Yedinak Lattice Dynamics of Simple Cubic
Lattices with Long-Range Interactions 1090--1097
W. W. Zachary Sufficient Conditions for Stability of
the Faddeev Equations . . . . . . . . . 1098--1105
M. L. Glasser Evaluation of ``Kondo'' Integrals . . . 1105--1106
Daniel C. Mattis and
Michael Plischke Magnetization of Ising Model in Nonzero
Magnetic Field . . . . . . . . . . . . . 1107--1108
C. Itzykson Group Representation in a Continuous
Basis: An Example . . . . . . . . . . . 1109--1114
C. N. Yang and
C. P. Yang Thermodynamics of a One-Dimensional
System of Bosons with Repulsive
Delta-Function Interaction . . . . . . . 1115--1122
Barry Simon On the Growth of the Number of Bound
States with Increase in Potential
Strength . . . . . . . . . . . . . . . . 1123--1126
David M. Rosenbaum Super Hilbert Space and the
Quantum-Mechanical Time Operators . . . 1127--1144
J. Peter Vajk Exact Robertson--Walker Cosmological
Solutions Containing Relativistic Fluids 1145--1151
J. Kulhanek Equations of the de Broglie Wavefield in
the Case of Spherical Symmetry . . . . . 1152--1156
Ioannis M. Besieris Analysis of Electromagnetic Radiation in
the Presence of a Uniformly Moving,
Uniaxially Anisotropic Medium . . . . . 1156--1167
Richard A. Brandt and
O. W. Greenberg Generalized Bose Operators in the Fock
Space of a Single Bose Operator . . . . 1168--1176
L. F. Shampine Existence of Solutions for Certain
Nonlinear Boundary-Value Problems . . . 1177--1178
Don E. Harrison, Jr. and
Warren L. Gay and
H. M. Effron Algorithm for the Calculation of the
Classical Equations of Motion of an
$N$-Body System . . . . . . . . . . . . 1179--1184
Jack P. Hajj and
David L. Weaver Wave Equations, Multipole Solutions, and
Characteristic Hypersurfaces for
Massless Particles . . . . . . . . . . . 1185--1190
J. F. McDonald On the Width Distribution for a Complex
System Whose Hamiltonian Contains a
Small Interaction That Is Odd under
Time-Reversal . . . . . . . . . . . . . 1191--1194
William Kinnersley Type $D$ Vacuum Metrics . . . . . . . . 1195--1203
J. C. Carter and
J. J. Coyne ${\rm SU}(6)$ Clebsch--Gordan
coefficients for the product $35 \otimes
70$ . . . . . . . . . . . . . . . . . . 1204--1210
R. J. Baxter $F$ Model on a Triangular Lattice . . . 1211--1216
P. C. Peters Covariant Electromagnetic Potentials and
Fields in Friedmann Universes . . . . . 1216--1224
Shoon Kyung Kim Involutional Matrices Based on the
Representation Theory of GL (2) . . . . 1225--1234
S. C. McDonald Hyperplane Helicity States . . . . . . . 1234--1240
Daniel Iagolnitzer $S$-Matrix and Classical Description of
Interactions . . . . . . . . . . . . . . 1241--1264
J. L. Gervais and
G. Velo Partial-Wave Expansion in the Crossed
Channel for Scattering Amplitudes
Invariant under the Galilei Group . . . 1265--1270
N. W. Dalton and
D. W. Wood Critical Point Behavior of the Ising
Model with Higher-Neighbor Interactions
Present . . . . . . . . . . . . . . . . 1271--1302
M. D. Girardeau Proof of the Symmetrization Postulate 1302--1304
V. Arunasalam Transverse Dielectric Tensor for a
Free-Electron Gas in a Uniform Magnetic
Field . . . . . . . . . . . . . . . . . 1305--1313
Darryl D. Coon Singularities of Conformal-Invariant
Scattering Amplitudes . . . . . . . . . 1314--1318
James T. Cushing Exact Static-Model Bootstrap Solutions
for Arbitrary $2 \times 2$ Crossing
Matrices . . . . . . . . . . . . . . . . 1319--1326
Stanley Jernow and
Emil Kazes Asymptotic Fields of the Lee Model . . . 1326--1339
Edgar A. Kraut and
Guy W. Lehman Diffraction of Electromagnetic Waves by
a Right-Angle Dielectric Wedge . . . . . 1340--1348
Frederick James Kennedy Instantaneous Action-at-a-Distance
Formulation of Classical Electrodynamics 1349--1362
Timothy P. Coffey Motion of a Charged Particle in a
Spatially Periodic Magnetic Field . . . 1362--1368
Tosiya Taniuti and
Nobuo Yajima Perturbation Method for a Nonlinear Wave
Modulation. I . . . . . . . . . . . . . 1369--1372
Mark Kac and
Colin J. Thompson Critical Behavior of Several Lattice
Models with Long-Range Interaction . . . 1373--1386
Victor Korenman On Perturbation Expansions for Real-Time
Green's Functions . . . . . . . . . . . 1387--1388
Chanchal K. Majumdar and
Dipan K. Ghosh On Next-Nearest-Neighbor Interaction in
Linear Chain. I . . . . . . . . . . . . 1388--1398
Chanchal K. Majumdar and
Dipan K. Ghosh On Next-Nearest-Neighbor Interaction in
Linear Chain. II . . . . . . . . . . . . 1399--1402
Elliott H. Lieb and
Colin J. Thompson Phase Transition in Zero Dimensions: A
Remark on the Spherical Model . . . . . 1403--1406
Marvin M. Miller Dynamics in the Diagonal Coherent-State
Representation . . . . . . . . . . . . . 1406--1411
J. Reece Roth Periodic Small-Amplitude Solutions to
Volterra's Problem of Two Conflicting
Populations and Their Application to the
Plasma Continuity Equations . . . . . . 1412--1414
Barry Simon On the Growth of the Ground-State
Binding Energy with Increase in
Potential Strength . . . . . . . . . . . 1415--1421
D. Peak and
A. Inomata Summation over Feynman Histories in
Polar Coordinates . . . . . . . . . . . 1422--1428
William Sollfrey Inverse Functions of the Products of Two
Bessel Functions . . . . . . . . . . . . 1429--1430
J. C. Morrison Group Theory and Mixed Atomic
Configurations . . . . . . . . . . . . . 1431--1437
Jack Wong On a Condition for Completeness . . . . 1438--1440
James P. Fink Partial Sums of Vacuum Polarization
Graphs . . . . . . . . . . . . . . . . . 1440--1441
John B. Jalickee and
Arnold J. F. Siegert and
David J. Vezzetti On Fluids of Particles with Short-Range
Repulsion and Weak Long-Range Attractive
Interaction . . . . . . . . . . . . . . 1442--1454
J. B. Krieger Exact Quantization Conditions. II . . . 1455--1458
H. R. Lewis, Jr. and
W. B. Riesenfeld An Exact Quantum Theory of the
Time-Dependent Harmonic Oscillator and
of a Charged Particle in a
Time-Dependent Electromagnetic Field . . 1458--1473
Richard Barakat and
Elizabeth Baumann $M$th Power of an $N \times N$ Matrix
and Its Connection with the Generalized
Lucas Polynomials . . . . . . . . . . . 1474--1476
William H. Klink Clebsch--Gordan Coefficients and
Functions over Cosets . . . . . . . . . 1477--1490
Y. E. Kim Solution of the Faddeev Equation for
Local Potentials by Approximate
Product-Integration . . . . . . . . . . 1491--1494
M. Baus Possible Instability of the
Cut-Contributions to the Ring Equations 1494--1497
N. Anderson and
A. M. Arthurs and
P. D. Robinson Bounds Associated with Integral
Equations of Kirkwood--Riseman Type . . 1498--1500
Luis Bel Schwarzschild Singularity . . . . . . . 1501--1503
Elliot P. Belasco and
Hans C. Ohanian Initial Conditions in General
Relativity: Lapse and Shift Formulation 1503--1507
Donald H. Kobe Single-Particle Condensate and
Pair-Correlation Theory of Inhomogeneous
Boson Systems . . . . . . . . . . . . . 1507--1517
Vittorio Berzi and
Vittorio Gorini Reciprocity Principle and the Lorentz
Transformations . . . . . . . . . . . . 1518--1524
Paul Otterson Equal-Time Pseudolimits of Current
Commutators and Schwinger Terms . . . . 1525--1530
R. G. J. Mills and
C. A. Hurst Generalized Triangular Ising Lattice . . 1531--1540
Joseph L. Strecker One-Dimensional Phase Transition . . . . 1541--1554
C. F. Hayes Quantization of the Generalized
Hamiltonian . . . . . . . . . . . . . . 1555--1558
Robert B. Griffiths Rigorous Results for Ising Ferromagnets
of Arbitrary Spin . . . . . . . . . . . 1559--1565
Albert R. Exton and
Ezra T. Newman and
Roger Penrose Conserved Quantities in the
Einstein--Maxwell Theory . . . . . . . . 1566--1570
K. T. Hecht and
Sing Chin Pang On the Wigner Supermultiplet Scheme . . 1571--1616
Daniel J. Amit On the Renormalization of the
Susceptibility of a Fermi Liquid . . . . 1617--1620
L. de la Peña-Auerbach New Formulation of Stochastic Theory and
Quantum Mechanics . . . . . . . . . . . 1620--1630
R. C. Whitten Potentials for Three-Body Systems . . . 1631--1634
Mikael Ciftan On the combinatorial structure of state
vectors in ${\rm U}(n)$. II. The
generalization of hypergeometric
functions on ${\rm U}(n)$ states . . . . 1635--1646
George A. Baker, Jr. and
Joseph Kahane Critical-point singularities of the
perturbation series for the ground state
of a many-Fermion system . . . . . . . . 1647--1660
John R. Klauder and
L. Streit Properties of ``Quadratic'' Canonical
Commutation Relation Representations . . 1661--1669
F. L. Cook and
J. W. Jayne Linear Physical Chains with
Sturm--Liouville Characteristic
Polynomials . . . . . . . . . . . . . . 1670--1680
Gerhard C. Hegerfeldt Kernel Integral Formulas for the
Canonical Commutation Relations of
Quantum Fields. I. Representations with
Cyclic Field . . . . . . . . . . . . . . 1681--1698
Moshe Carmeli Group Analysis of Maxwell's Equations 1699--1703
T. S. Santhanam Generating Functions of Classical Groups
and Evaluation of Partition Functions 1704--1710
Wayne J. Holman Representation theory of ${\rm SP}(4)$
and ${\rm SO}(5)$ . . . . . . . . . . . 1710--1717
R. Pellicer and
R. J. Torrence Nonlinear Electrodynamics and General
Relativity . . . . . . . . . . . . . . . 1718--1723
Michael P. Ryan, Jr. General Form of the Einstein Equations
for a Bianchi Type IX Universe . . . . . 1724--1728
Timothy H. Boyer Concerning the Zeros of Some Functions
Related to Bessel Functions . . . . . . 1729--1744
David C. Robinson Conserved Quantities of Newman and
Penrose . . . . . . . . . . . . . . . . 1745--1753
G. M. Bell One-Dimensional Bonded Fluids . . . . . 1753--1760
Mitja Rosina and
Jerome K. Percus and
Louis J. Kijewski and
Claude Garrod Reduced Density Matrices of Energy
Eigenstates . . . . . . . . . . . . . . 1761--1763
G. V. Ramanathan and
G. Sandri Model for the Derivation of Kinetic
Theory . . . . . . . . . . . . . . . . . 1763--1773
D. J. Rowe Properties of Overcomplete and
Nonorthogonal Basis Vectors . . . . . . 1774--1777
P. Pajas Degenerate representations of the
sympletic groups. II. The noncompact
group ${\rm Sp}(p,q)$ . . . . . . . . . 1777--1788
John R. Gabriel New Methods for Reduction of Group
Representations. III . . . . . . . . . . 1789--1795
Edward Y. Harper Diffraction of Plane Acoustic Waves and
Pulses as a Singular Perturbation
Problem . . . . . . . . . . . . . . . . 1795--1803
M. Revzen and
L. E. H. Trainor Self-Consistent Approximations in
Many-Body Systems . . . . . . . . . . . 1804--1808
A. Bassetto and
F. Paccanoni Wiener--Hopf Method and Generalized
Integral Transforms . . . . . . . . . . 1809--1812
M. Howard Lee Cluster Expansion in a Bose System . . . 1813--1818
Reese T. Prosser Formal Solutions of Inverse Scattering
Problems . . . . . . . . . . . . . . . . 1819--1822
John M. Charap and
B. M. Minton Two-Variable Expansion of the Scattering
Amplitude: An Application of Appell's
Generalized Hypergeometric Functions . . 1823--1833
Masamichi Tokizawa On Continuous Eigenvalues in Neutron
Thermalization . . . . . . . . . . . . . 1834--1841
G. C. Debney and
R. P. Kerr and
A. Schild Solutions of the Einstein and
Einstein--Maxwell Equations . . . . . . 1842--1854
Claude Garrod and
Mitja Rosina Particle-Hole Matrix: Its Connection
with the Symmetries and Collective
Features of the Ground State . . . . . . 1855--1861
José Canosa Diffusion in Nonlinear Multiplicative
Media . . . . . . . . . . . . . . . . . 1862--1868
J. A. de Azcárraga and
L. Oliver Observables for Massive Relativistic
Particles of Arbitrary Spin . . . . . . 1869--1874
A. K. Common Properties of Generalizations to Padé
approximants . . . . . . . . . . . . . . 1875--1880
Jerome K. Percus One More Technique for the Dimer Problem 1881--1884
C. A. Uzes Plane-Symmetric Gauge Field . . . . . . 1885--1888
Wayne J. Holman III Representation theory of ${\rm SO}(4,1)$
and ${\rm E}(3,1)$: an explicit spinor
calculus . . . . . . . . . . . . . . . . 1888--1897
Mayer Humi Remarks on Lie-Algebra-Invariant
Equations. I . . . . . . . . . . . . . . 1897--1899
Mayer Humi Remarks on Lie-Algebra-Invariant
Equations. II . . . . . . . . . . . . . 1900--1902
Douglas Francis Holland Finite Transformations and Basis States
of ${\rm SU}(n)$ . . . . . . . . . . . . 1903--1905
Paul B. Bailey and
George E. Barr Diffraction by a Slit or Strip . . . . . 1906--1913
M. D. Girardeau Soluble Model of Condensation . . . . . 1914--1920
Hsiao S. Kiang $N$-Representability Theorem for Reduced
Density Matrices . . . . . . . . . . . . 1920--1921
S. Solimeno and
P. Di Porto and
B. Crosignani Quantum Harmonic Oscillator with
Time-Dependent Frequency . . . . . . . . 1922--1928
Amnon Katz Alternative Dynamics for Classical
Relativistic Particles . . . . . . . . . 1929--1931
J. R. Gabriel New Methods for Reduction of Group
Representations. IV . . . . . . . . . . 1932--1934
K. D. Abhyankar and
A. L. Fymat Relations between the Elements of the
Phase Matrix for Scattering . . . . . . 1935--1938
Naren F. Bali and
Darryl D. Coon and
Amnon Katz Conformal-Invariant Scattering Amplitude
for Spinless Particles . . . . . . . . . 1939--1952
Mark W. Kermode Effective-Range Formula for Two-Body
Scattering Coupled to a Closed Secondary
Channel . . . . . . . . . . . . . . . . 1953--1956
H. S. Tan and
D. K. Cheng On the Uncoupling of Wiener--Hopf
Equations for Half-Plane Diffraction
Problems in a Gyrotropic Medium . . . . 1957--1963
H. Kschwendt Numerical Solution of Integral Equations
Using Legendre Polynomials . . . . . . . 1964--1968
Jouko Mickelsson Representation Functions for ${\rm
SU}(3)$ . . . . . . . . . . . . . . . . 1968--1970
Boris Leaf Canonical Transformations and Spectra of
Quantum Operators . . . . . . . . . . . 1971--1979
Boris Leaf Canonical Operators for the Simple
Harmonic Oscillator . . . . . . . . . . 1980--1987
Melvin N. Miller Bounds for Effective Electrical,
Thermal, and Magnetic Properties of
Heterogeneous Materials . . . . . . . . 1988--2004
Melvin N. Miller Bounds for Effective Bulk Modulus of
Heterogeneous Materials . . . . . . . . 2005--2013
I. T. Todorov and
R. P. Zaikov Spectral Representation of the Covariant
Two-Point Function and
Infinite-Component Fields with Arbitrary
Mass Spectrum . . . . . . . . . . . . . 2014--2019
Naruyoshi Asano and
Tosiya Taniuti and
Nobuo Yajima Perturbation Method for a Nonlinear Wave
Modulation. II . . . . . . . . . . . . . 2020--2024
A. J. Bracken and
H. A. Cohen On canonical ${\rm SO}(4,1)$
transformations of the Dirac equation 2024--2032
R. T. Sharp and
C. S. Lam Internal-Labeling Problem . . . . . . . 2033--2038
L. Leplae and
H. Umezawa Boson Formalism in Superconductivity . . 2038--2046
J. D. Finley Short-Range Interactions and Analyticity
in Momentum Transfer . . . . . . . . . . 2047--2059
J. D. Finley Possible Characterization of Short-Range
Interactions . . . . . . . . . . . . . . 2060--2066
C. L. Hammer and
T. A. Weber $V$-Particle Decay in the Lee Model . . 2067--2077
G. Mack and
I. Todorov Irreducibility of the Ladder
Representations of ${\rm U}(2, 2)$ when
Restricted to the Poincaré Subgroup . . . 2078--2085
N. Mukunda Matrices of finite Lorentz
transformations in a noncompact basis.
I. Discrete series of ${\rm O}(2,1)$ . . 2086--2092
N. Mukunda Matrices of finite Lorentz
transformations in a noncompact basis.
II. Continuous series of ${\rm O}(2,1)$ 2092--2098
David Chiang Further Note on Two Binomial Coefficient
Identities of Rosenbaum . . . . . . . . 2098--2098
Nazakat Ullah On a Generalized Distribution of the
Poles of the Unitary Collision Matrix 2099--2103
Debabrata Basu and
S. N. Biswas Accidental Degeneracy in the
Bethe--Salpeter Equation . . . . . . . . 2104--2113
Platon C. Deliyannis Theory of Observables . . . . . . . . . 2114--2127
William M. Frank Erratum: ``Strong-Coupling Limit in
Potential Theory. II'' . . . . . . . . . 2128--2128
D. Radhakrishnan Internal Multiplicity Structure for the
Chain ${\rm SU}(n) \supset {\rm SU}(n -
1) \supset \ldots{} \supset {\rm SU}(2)$ 2129--2131
Henri Bacry and
Arne Kihlberg Wavefunctions on Homogeneous Spaces . . 2132--2141
Jong H. Choi Treatment of degeneracies in the
Schrödinger perturbation theory by
partitioning technique . . . . . . . . . 2142--2148
M. J. Cunningham and
B. G. Wybourne Quasiparticle Formalism and Atomic Shell
Theory . . . . . . . . . . . . . . . . . 2149--2155
Stephen Blaha Character Analysis of ${\rm U}(N)$ and
${\rm SU}(N)$ . . . . . . . . . . . . . 2156--2168
Robert L. Zimmerman Functional Integration and the
Generalized Matthews--Salam Equations 2169--2178
C. C. Rousseau and
D. P. Saylor Application of Perturbation Theory to
Many-Body Systems with Localized
Particles . . . . . . . . . . . . . . . 2179--2184
Richard P. McNeil and
Richard A. Morrow Physical Regions of Six-Particle
Processes . . . . . . . . . . . . . . . 2185--2190
F. Calogero Solution of a Three-Body Problem in One
Dimension . . . . . . . . . . . . . . . 2191--2196
F. Calogero Ground State of a One-Dimensional
$N$-Body System . . . . . . . . . . . . 2197--2200
O. Shlidor and
M. Revzen Self-Consistent Approximations in
Many-Body Systems. II . . . . . . . . . 2201--2204
R. B. McQuistan Vacancy Annihilation for One-Dimensional
Dumbbell Kinetics . . . . . . . . . . . 2205--2207
Robert E. Kvarda Canonical States in Quantum-Statistical
Mechanics . . . . . . . . . . . . . . . 2208--2213
James Glimm and
Arthur Jaffe Infinite Renormalization of the
Hamiltonian Is Necessary . . . . . . . . 2213--2214
Amnon Katz Relativistic Effects of Strong Binding
on Slow Particles . . . . . . . . . . . 2215--2219
S. Pahor and
J. K. Shultis Half-Space Multigroup Transport Theory 2220--2226
S. J. Alisauskas and
A. P. Jucys Substitution Group and the Stretched
Isoscalar Factors for the Group R$_5$ 2227--2233
Reese T. Prosser Spectral Analysis of Classical Central
Force Motion . . . . . . . . . . . . . . 2233--2239
Donald Gelman and
Larry Spruch Feynman Path Integrals and Scattering
Theory . . . . . . . . . . . . . . . . . 2240--2254
D. C. Herbert Kinematic Interaction for the Heisenberg
Antiferromagnet at Low Temperature . . . 2255--2263
Priyamvada Sah Statistical Average of Product of Phase
Sums Arising in the Study of Disordered
Lattices. I . . . . . . . . . . . . . . 2263--2266
Erik W. Aslaksen and
John R. Klauder Continuous Representation Theory Using
the Affine Group . . . . . . . . . . . . 2267--2275
J.-P. Antoine Dirac formalism and symmetry problems in
quantum mechanics. II. Symmetry problems 2276--2290
Robert M. Lewis and
Johannes Boersma Uniform Asymptotic Theory of Edge
Diffraction . . . . . . . . . . . . . . 2291--2305
D. Gutkowski and
A. Scalia Analytic Properties of a Class of
Nonlocal Interactions. II . . . . . . . 2306--2318
Anonymous Author Index to Volume 10 . . . . . . . 2319--2329
Anonymous Analytic Subject Index to Volume 10 . . 2330--2343
D. J. Rowe Erratum: ``Properties of Overcomplete
and Nonorthogonal Basis Vectors'' . . . 742--742
Melvin N. Miller Erratum: ``Bounds for Effective Bulk
Modulus of Heterogeneous Materials'' . . 1057--1057
H. W. Gould Comment on a paper of Chiang . . . . . . 1743--1743
F. Calogero and
C. Marchioro A comment on the paper `Lower bounds on
the energy eigenvalues of systems
containing identical particles' . . . . 139--140
Roger G. Newton Addendum: ``Determination of the
amplitude from the differential cross
section by unitarity'', [J. Math. Phys.
\bf 9, 2050 (1968)] . . . . . . . . . . 1358--1358