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Volume 1, Number 1, January, 1960Bruno Zumino Gauge Properties of Propagators in Quantum Electrodynamics . . . . . . . . 1--7 R. A. Toupin and R. S. Rivlin Dimensional Changes in Crystals Caused by Dislocations . . . . . . . . . . . . 8--15 A. Erdélyi Asymptotic Solutions of Differential Equations with Transition Points or Singularities . . . . . . . . . . . . . 16--26 Takashi Ohmura Minimum Property in the Hulthén-Type Variational Methods . . . . . . . . . . 27--34 Takashi Ohmura Stationary Expression for Effective Range . . . . . . . . . . . . . . . . . 35--40 Abraham Klein Mandelstam Representation for Potential Scattering . . . . . . . . . . . . . . . 41--47 I. M. Gel'fand and A. M. Yaglom Integration in Functional Spaces and its Applications in Quantum Physics . . . . 48--69 Peter Mazur and Elliott Montroll Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic Oscillators . . . . . . . . . . 70--84
A. Grossmann Description of the Extended Tube . . . . 85--86 Leopoldo S. Garcia-Colin Pair Distribution Function of a Hard Sphere Bose System Calculated by the Pseudo-Potential Method . . . . . . . . 87--96 Leopoldo S. Garcia-Colin and Jean Peretti On the Pair Distribution Function of a Hard Sphere Bose System . . . . . . . . 97--106 Oldwig Von Roos Formal Solution of Liouville's Equation 107--111 Oldwig Von Roos Solution of the Collisionless Boltzmann Equation using a Diagram Technique . . . 112--120 J. M. Luttinger and R. B. Thomas Variational Method for Studying the Motion of Classical Vibrating Systems 121--126 A. C. Pipkin and R. S. Rivlin Electrical Conduction in Deformed Isotropic Materials . . . . . . . . . . 127--130 Ronald Aaron and Abraham Klein Convergence of the Born Expansion . . . 131--138 T. A. Green and O. E. Lanford Rigorous Derivation of the Phase Shift Formula for the Hilbert Space Scattering Operator of a Single Particle . . . . . 139--148 Jan Tarski Analyticity of the Fourth Order Scattering Amplitude with Two Complex Invariants . . . . . . . . . . . . . . . 149--163
J. Zak Method to Obtain the Character Tables of Nonsymmorphic Space Groups . . . . . . . 165--171 Otto Bergmann Problem of Rainich for Two-Component Spinors . . . . . . . . . . . . . . . . 172--177 George Backus Linearized Plasma Oscillations in Arbitrary Electron Velocity Distributions . . . . . . . . . . . . . 178--191 Emmanuel Meeron Nodal Expansions. III. Exact Integral Equations for Particle Correlation Functions . . . . . . . . . . . . . . . 192--201 S. Sherman Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs . . . . . . 202--217 G. M. Prosperi and A. Scotti Ergodicity Conditions in Quantum Mechanics . . . . . . . . . . . . . . . 218--221 B. Bernstein Proof of Carathéodory's Local Theorem and Its Global Application to Thermostatics 222--224 Herbert S. Wilf Numerical Integration of the Transport Equation with No Angular Truncation . . 225--230 R. F. Streater Double Commutator in Quantum Field Theory . . . . . . . . . . . . . . . . . 231--233 Daniel C. Lewis and Olga Taussky Some Remarks Concerning the Real and Imaginary Parts of the Characteristic Roots of a Finite Matrix . . . . . . . . 234--236 J. S. Lomont Decomposition of Direct Products of Representations of the Inhomogeneous Lorentz Group . . . . . . . . . . . . . 237--243 S. Albertoni and P. Bocchieri and A. Loinger New Theorem in the Classical Ensemble Theory . . . . . . . . . . . . . . . . . 244--248
K. Symanzik On the Many-Particle Structure of Green's Functions in Quantum Field Theory . . . . . . . . . . . . . . . . . 249--273 Daniel I. Fivel and Abraham Klein On the Analytic Properties of Partial Wave Amplitudes in Yukawa Potential Scattering . . . . . . . . . . . . . . . 274--279 Richard Bellman and Robert Kalaba and G. Milton Wing Invariant Imbedding and Mathematical Physics. I. Particle Processes . . . . . 280--308 Robert J. Rubin Statistical Dynamics of Simple Cubic Lattices. Model for the Study of Brownian Motion . . . . . . . . . . . . 309--318 Roger G. Newton Analytic Properties of Radial Wave Functions . . . . . . . . . . . . . . . 319--347
I. Prigogine and F. Henin On the General Theory of the Approach to Equilibrium. I. Interacting Normal Modes 349--371 S. Teitler and R. F. Wallis Liouville Equation and the Resolvent Formalism . . . . . . . . . . . . . . . 372--377 Armand Siegel Differential-Operator Approximations to the Linear Boltzmann Equation . . . . . 378--390 Melville S. Green Topological Derivation of the Mayer Density Series for the Pressure of an Imperfect Gas . . . . . . . . . . . . . 391--394 Rosemary A. Coldwell-Horsfall and Alexei A. Maradudin Zero-Point Energy of an Electron Lattice 395--404 P. A. Sturrock Generalization of the Lagrange Expansion with Application to Physical Problems 405--408 Eugene P. Wigner Normal Form of Antiunitary Operators . . 409--413 Eugene P. Wigner Phenomenological Distinction between Unitary and Antiunitary Symmetry Operators . . . . . . . . . . . . . . . 414--416 U. Fano Real Representations of Coordinate Rotations . . . . . . . . . . . . . . . 417--423 A. Grossmann Algebraic Characterization of the TCP Operation . . . . . . . . . . . . . . . 424--428 R. E. Cutkosky Singularities and Discontinuities of Feynman Amplitudes . . . . . . . . . . . 429--433 R. Arnowitt and S. Deser and C. W. Misner Consistency of the Canonical Reduction of General Relativity . . . . . . . . . 434--439 R. Finkelstein Spacetime of the Elementary Particles 440--451 Roger G. Newton Analytic Properties of Radial Wave Functions . . . . . . . . . . . . . . . 452--452 R. F. Streater Double Commutator in Quantum Field Theory . . . . . . . . . . . . . . . . . 452--452
Harold V. McIntosh Symmetry-Adapted Functions Belonging to the Symmetric Groups . . . . . . . . . . 453--460 P.-O. Löwdin and R. Pauncz and J. de Heer On the Calculation of the Inverse of the Overlap Matrix in Cyclic Systems . . . . 461--467 I. E. Segal Quantization of Nonlinear Systems . . . 468--488 Adel Da Silveira Kemmer Wave Equation in Riemann Space 489--491 H. Araki Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory . . . . . . . . . . . . . . . . . 492--504 S. H. Vosko Approximate Solutions of the Bethe--Salpeter Equation . . . . . . . . 505--515 M. Girardeau Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension . . . . . . . . . . . . . . . 516--523 H. Epstein Generalization of the ``Edge-of-the-Wedge'' Theorem . . . . . 524--531 R. Acharya and E. C. G. Sudarshan ``Front'' Description in Relativistic Quantum Mechanics . . . . . . . . . . . 532--536 H. A. Buchdahl On the Nonexistence of a Class of Static Einstein Spaces Asymptotic at Infinity to a Space of Constant Curvature . . . . 537--541 A. C. Pipkin and R. S. Rivlin Galvanomagnetic and Thermomagnetic Effects in Isotropic Materials . . . . . 542--546 J. R. Ehrman and L. D. Fosdick and D. C. Handscomb Computation of Order Parameters in an Ising Lattice by the Monte Carlo Method 547--558 George E. Backus Linearized Plasma Oscillations in Arbitrary Electron Distributions . . . . 559--559
Eugene J. Saletan Contraction of Lie Groups . . . . . . . 1--21 Behram Kursuno\uglu Complex Orthogonal and Antiorthogonal Representation of Lorentz Group . . . . 22--32 J. M. Cook Asymptotic Properties of a Boson Field with Given Source . . . . . . . . . . . 33--45 Smio Tani Synthetic Approach and Canonical Variables in a Nonlocal Field Theory . . 46--51 M. F. Sykes Some Counting Theorems in the Theory of the Ising Model and the Excluded Volume Problem . . . . . . . . . . . . . . . . 52--62 C. Domb and M. F. Sykes Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem . . . . . . . . . . . . . . . . 63--67 F. Henin and P. Résibois and F. Andrews On the General Theory of the Approach to Equilibrium. II. Interacting Particles 68--90 Frank C. Andrews On the General Theory of the Approach to Equilibrium. III. Inhomogeneous Systems 91--95 George Gioumousis and C. F. Curtiss Molecular Collisions. II. Diatomic Molecules . . . . . . . . . . . . . . . 96--104 Tai Tsun Wu Some Nonequilibrium Properties of a Bose System of Hard Spheres at Extremely Low Temperatures . . . . . . . . . . . . . . 105--123 Robert H. Kraichnan Dynamics of Nonlinear Stochastic Systems 124--148 Sylvan Katz On a Moving Boundary Problem . . . . . . 149--150
Bryce S. DeWitt Quantization of Fields with Infinite-Dimensional Invariance Groups 151--162 Huzihiro Araki Generalized Retarded Functions and Analytic Function in Momentum Space in Quantum Field Theory . . . . . . . . . . 163--177 Eyvind H. Wichmann and Ching-Hung Woo Integral Representation for the Nonrelativistic Coulomb Green's Function 178--180 A. O. Barut and K. H. Ruei Analytical Properties of $S$ Matrix and Uniqueness of the Scattering Potential 181--187 Roger G. Newton Structure of the Many-Channel $S$ Matrix 188--197 S. Tani Products of Principal Value Singularities Used in the Formal Theory of Scattering . . . . . . . . . . . . . 198--201 J. F. Schell Classification of Four-Dimensional Riemannian Spaces . . . . . . . . . . . 202--206 E. P. Wigner Geometry of Light Paths between Two Material Bodies . . . . . . . . . . . . 207--211 T. W. B. Kibble Lorentz Invariance and the Gravitational Field . . . . . . . . . . . . . . . . . 212--221 Robert M. Lewis Solution of the Equations of Statistical Mechanics . . . . . . . . . . . . . . . 222--231 Gordon Baym and N. David Mermin Determination of Thermodynamic Green's Functions . . . . . . . . . . . . . . . 232--234 Ian C. Percival Almost Periodicity and the Quantal $H$ Theorem . . . . . . . . . . . . . . . . 235--239 H. J. Bremermann and L. Durand On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions . . . . . . . . . . . . . 240--258 James Conlan and J. B. Diaz and W. E. Parr On the Capacity of the Icosahedron . . . 259--261 Joseph B. Keller Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schrödinger Equation . . . . . . . . . . 262--266 Robert J. Rubin Errata: ``Statistical Dynamics of Simple Cubic Lattices. Model for the Study of Brownian Motion'' . . . . . . . . . . . 266--266
Huzihiro Araki On the Connection of Spin and Commutation Relations between Different Fields . . . . . . . . . . . . . . . . . 267--270 J. Schwartz Free Quantized Lorentzian Fields . . . . 271--290 Ivor Robinson Null Electromagnetic Fields . . . . . . 290--291 Arthur J. Layzer Free Propagator Expansion in the Evaluation of the Lamb Shift. I . . . . 292--307 Arthur J. Layzer Free Propagator Expansion in the Evaluation of the Lamb Shift. II . . . . 308--323 E. Newman Some Properties of Empty Space-Time . . 324--327 J. N. Goldberg and R. P. Kerr Some Applications of the Infinitesimal-Holonomy Group to the Petrov Classification of Einstein Spaces 327--332 R. P. Kerr and J. N. Goldberg Einstein Spaces With Four-Parameter Holonomy Groups . . . . . . . . . . . . 332--336 A. Temkin Absolute Definition of Phase Shift in the Elastic Scattering of a Particle from Compound Systems . . . . . . . . . 336--340 Elliott Lieb Operator Formalism in Statistical Mechanics . . . . . . . . . . . . . . . 341--343 H. S. Green Theories of Transport in Fluids . . . . 344--348 Alexei A. Maradudin and George H. Weiss and Donald W. Jepsen Nonequilibrium Processes in Isotopically Disordered Crystals . . . . . . . . . . 349--369 Robert Zwanzig Nonequilibrium Processes in Isotopically Disordered Crystals. Dependence on Degree of Order . . . . . . . . . . . . 370--372 Robert J. Rubin Statistical Dynamics of Simple Cubic Lattices. Model for the Study of Brownian Motion. II . . . . . . . . . . 373--386 Joseph Ford Equipartition of Energy for Nonlinear Systems . . . . . . . . . . . . . . . . 387--393 Norman Zitron and Samuel N. Karp Higher-Order Approximations in Multiple Scattering. I. Two-Dimensional Scalar Case . . . . . . . . . . . . . . . . . . 394--402 Norman Zitron and Samuel N. Karp Higher-Order Approximations in Multiple Scattering. II. Three-Dimensional Scalar Case . . . . . . . . . . . . . . . . . . 402--406 Julian Schwinger Brownian Motion of a Quantum Oscillator 407--432 L. C. Biedenharn Wigner Coefficients for the $R_4$ Group and Some Applications . . . . . . . . . 433--441 B. C. Carlson Ellipsoidal Distributions of Charge or Mass . . . . . . . . . . . . . . . . . . 441--450 E. Guth and E. Inönü Group-Theoretical Treatment of Time- and Energy-Dependent Multiple Scattering with Application to the Slowing-Down of Neutrons . . . . . . . . . . . . . . . . 451--458
James M. Knight Strict Localization in Quantum Field Theory . . . . . . . . . . . . . . . . . 459--471 D. W. Sciama On the Interpretation of the Einstein--Schrödinger Unified Field Theory . . . . . . . . . . . . . . . . . 472--477 Robert A. Mapleton Characteristic Coulomb Green's Function and Its Eigenfunction Expansion . . . . 478--482 Robert A. Mapleton Application of a Singular Wave-Function Operator in Scattering Theory . . . . . 482--490 Thomas F. O'Malley and Larry Spruch and Leonard Rosenberg Modification of Effective-Range Theory in the Presence of a Long-Range $(r^{-4})$ Potential . . . . . . . . . . 491--498 K. L. Kowalski and D. Feldman Transition Matrix for Nucleon-Nucleon Scattering . . . . . . . . . . . . . . . 499--511 P. C. Waterman and Rohn Truell Multiple Scattering of Waves . . . . . . 512--537 Roman Zelazny Exact Solution of a Critical Problem for a Slab . . . . . . . . . . . . . . . . . 538--542 Shin Yabushita Tschebyscheff Polynomial Approximation Method of the Neutron-Transport Equation 543--549 Tai Tsun Wu Theory of the Dipole Antenna and the Two-Wire Transmission Line . . . . . . . 550--574 Hirsh Cohen and W. L. Miranker Boundary-Layer Behavior in the Superconductor Transition Problem . . . 575--583 J. S. Langer Frequency Spectrum of a Disordered One-Dimensional Lattice . . . . . . . . 584--591 N. G. Van Kampen Exact Calculation of the Fluctuation Spectrum for a Nonlinear Model System 592--601 Daniel Mattis and Elliott Lieb Exact Wave Functions in Superconductivity . . . . . . . . . . . 602--609 Michael E. Fisher and John W. Essam Some Cluster Size and Percolation Problems . . . . . . . . . . . . . . . . 609--619 Michael E. Fisher Critical Probabilities for Cluster Size and Percolation Problems . . . . . . . . 620--627 Ivan T. Frisch and Wan H. Kim Properties of 2-Semi-Isomorphic Graphs and Their Applications: Active Network Analysis . . . . . . . . . . . . . . . . 627--635 A. C. Pipkin and R. S. Rivlin Electrical Conduction in a Stretched and Twisted Tube . . . . . . . . . . . . . . 636--638 Herbert S. Wilf Errata: ``Numerical Integration of the Transport Equation with No Angular Truncation'' . . . . . . . . . . . . . . 638--638
J. Bros and A. Messiah and R. Stora A Problem of Analytic Completion Related to the Jost--Lehmann--Dyson Formula . . 639--651 M. Wellner and R. B. Curtis Role of the Asymptotic Condition in a Lagrangian Field Theory . . . . . . . . 651--655 R. J. Eden and P. V. Landshoff and J. C. Polkinghorne and J. C. Taylor Acnodes and Cusps on Landau Curves . . . 656--663 Stig Hjalmars Wave Equations for Scalar and Vector Particles in Gravitational Fields . . . 663--666 E. T. Newman and L. A. Tamburino New Approach to Einstein's Empty Space Field Equations . . . . . . . . . . . . 667--674 Ezra T. Newman New Approach to the Einstein and Maxwell-Einstein Field Equations . . . . 674--676 J. Plebanski and J. Ryten Coordinate Conditions . . . . . . . . . 677--681 A. Lenard Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces . . . . . . . . . . . . . . . . . 682--693 Chester P. Carpenter and Fritz W. Mezger General Spherical Harmonics Formulation of Plasma Boltzmann Equation . . . . . . 694--701 R. K. Nesbet Construction of Symmetry-Adapted Functions in the Many-Particle Problem 701--709 Alex Grossmann and Tai Tsun Wu Schrödinger Scattering Amplitude. I . . . 710--713 Alex Grossmann Schrödinger Scattering Amplitude. II . . 714--718 S. C. Snowdon Theory of Multipole Radiation . . . . . 719--722 George Gioumousis Molecular Collisions. III. Symmetric Top Molecules . . . . . . . . . . . . . . . 723--727 J. M. Hammersley Comparison of Atom and Bond Percolation Processes . . . . . . . . . . . . . . . 728--733 Richard R. Chasman Eigenvalue Problems in Matrix Mechanics 733--735 Jerome D. Swalen and Louis Pierce Remarks on the Continued Fraction Calculation of Eigenvalues and Eigenvectors . . . . . . . . . . . . . . 736--739 Louis Pierce Calculation of the Eigenvalues of a Tridiagonal Hermitian Matrix . . . . . . 740--741 Eugene J. Saletan Erratum: ``Contraction of Lie Groups . . 742--742
Jan Lopuszanski A Criterion for the Free Character of Fields . . . . . . . . . . . . . . . . . 743--747 Christian Fronsdal Analyticity of Wightman Functions . . . 748--758 G. F. Dell'Antonio Support of a Field in $p$ Space . . . . 759--766 E. C. G. Sudarshan and K. Bardakci Nature of the Axioms of Relativistic Quantum Field Theory. I . . . . . . . . 767--771 Thomas F. Jordan and E. C. G. Sudarshan Dynamical Mappings of Density Operators in Quantum Mechanics . . . . . . . . . . 772--775 D. W. Robinson A Note on $k$-Commutative Matrices . . . 776--777 W. Israel and R. Trollope New Possibilities for a Unified Field Theory . . . . . . . . . . . . . . . . . 777--786 A. H. Taub Approximate Stress Energy Tensor for Gravitational Fields . . . . . . . . . . 787--793 Farouk M. Odeh Principles of Limiting Absorption and Limiting Amplitude in Scattering Theory. I. Schrödinger's Equation . . . . . . . . 794--800 Farouk M. Odeh Principles of Limiting Absorption and Limiting Amplitude in Scattering Theory. II. The Wave Equation in an Inhomogeneous Medium . . . . . . . . . . 800--802 Masami Wakano Foundations for a Treatment of the Scattering of Light by the Hydrodynamical and Statistical Atom Model . . . . . . . . . . . . . . . . . 803--824 Peter R. Fontana Symmetric Expansion of One- and Two-Center Coulomb Potentials . . . . . 825--828 Lawrence Dresner Isoperimetric and Other Inequalities in the Theory of Neutron Transport . . . . 829--847 A. A. Broyles Probability Distribution for Classical Fluids . . . . . . . . . . . . . . . . . 848--857 J. S. Lomont Note on the Albertoni--Bocchieri--Loinger Theorem of Classical Statistical Mechanics . . . . 858--860 Robert J. Rubin and Robert Zwanzig A Lattice with an Unusual Frequency Spectrum . . . . . . . . . . . . . . . . 861--864 A. C. Pipkin and R. S. Rivlin Electrical Conduction in a Noncircular Rod . . . . . . . . . . . . . . . . . . 865--868 Demetrios G. Magiros Method for Defining Principal Modes of Nonlinear Systems Utilizing Infinite Determinants . . . . . . . . . . . . . . 869--875 Eyvind H. Wichmann Note on the Algebraic Aspect of the Integration of a System of Ordinary Linear Differential Equations . . . . . 876--880 Raimond A. Struble and John E. Fletcher General Perturbational Solution of the Harmonically Forced van der Pol Equation 880--891 Tai Tsun Wu Transient Response of a Dipole Antenna 892--894
L. F. Cook and Jan Tarski Some Properties of the Five-Point Function in Perturbation Theory . . . . 1--30 O. W. Greenberg Two Folk Lemmas on the Expansion of the $S$ Matrix or the Out Field in Normal Ordered In Fields . . . . . . . . . . . 31--34 Edward H. Kerner Hamiltonian Formulation of Action-at-a-Distance in Electrodynamics 35--42 P. A. Sturrock Field-Theory Analogs of the Lagrange and Poincaré Invariants . . . . . . . . . . . 43--50 David G. Boulware Spin and Statistics with an Electromagnetic Field . . . . . . . . . 50--58 Howard R. Reiss Absorption of Light by Light . . . . . . 59--67 M. E. Ebel Causality and the R Matrix . . . . . . . 68--69 Jack K. Hale and Arnold P. Stokes Some Physical Solutions of Dirac-Type Equations . . . . . . . . . . . . . . . 70--74 Roger G. Newton Construction of Potentials from the Phase Shifts at Fixed Energy . . . . . . 75--82 Victor Twersky Multiple Scattering by Arbitrary Configurations in Three Dimensions . . . 83--91 Akeley Miller and Paul W. Schmidt Small Angle X-Ray Scattering from Randomly Oriented Cylinders of Arbitrary Cross Section . . . . . . . . . . . . . 92--96 K. G. Dedrick and Robert N. Wilson Use of the Displacement Vector in Electromagnetic Theory . . . . . . . . . 97--105 Morris E. Rose and C. N. Yang Eigenvalues and Eigenvectors of a Symmetric Matrix of 6 j Symbols . . . . 106--106 T. L. Gilbert Inverse Overlap Matrix for Periodic Arrays of Atoms . . . . . . . . . . . . 107--117 E. Ambler and J. C. Eisenstein and J. F. Schooley Traces of Products of Angular Momentum Matrices . . . . . . . . . . . . . . . . 118--130 M. Girardeau Variational Method for the Quantum Statistics of Interacting Particles . . 131--139 Freeman J. Dyson Statistical Theory of the Energy Levels of Complex Systems. I . . . . . . . . . 140--156 Freeman J. Dyson Statistical Theory of the Energy Levels of Complex Systems. II . . . . . . . . . 157--165 Freeman J. Dyson Statistical Theory of the Energy Levels of Complex Systems. III . . . . . . . . 166--175 G. S. Rushbrooke and H. I. Scoins Cluster Sums for the Ising Model . . . . 176--184 G. S. Rushbrooke and J. Eve High-Temperature Ising Partition Function and Related Noncrossing Polygons for the Simple Cubic Lattice 185--189 Denos C. Gazis and Richard F. Wallis Surface Vibrational Modes in Crystal Lattices with Complex Interatomic Interactions . . . . . . . . . . . . . . 190--199 Herbert B. Rosenstock and Richard E. McGill Vibrational Modes of Disordered Linear Chains . . . . . . . . . . . . . . . . . 200--202 Lesser Blum Evolution of a Crystal in an Oscillating Field . . . . . . . . . . . . . . . . . 203--204 Robert H. Kraichnan Erratum: ``Dynamics of Nonlinear Stochastic Systems'' . . . . . . . . . . 205--205
David Finkelstein and Josef M. Jauch and Samuel Schiminovich and David Speiser Foundations of Quaternion Quantum Mechanics . . . . . . . . . . . . . . . 207--220 W. S. Brown Analyticity Properties of the Momentum-Space Vertex Function . . . . . 221--235 James McKenna Analytic Regularization in Relativistic Quantum Field Theory . . . . . . . . . . 236--247 R. Haag and B. Schroer Postulates of Quantum Field Theory . . . 248--256 R. F. Streater Analytic Properties of Products of Field Operators . . . . . . . . . . . . . . . 256--261 Tai Tsun Wu Some Properties of Impedance as a Causal Operator . . . . . . . . . . . . . . . . 262--271 William M. Frank Convergence of Perturbation Expansions in Cutoff Meson Theories . . . . . . . . 272--280 Francis R. Halpern Some Examples of Canonical Transformations in Quantum Mechanics . . 281--286 Ralph Bartram and Larry Spruch Bounds on Elements of the $S$ Matrix for Elastic Scattering: One-Dimensional Scattering . . . . . . . . . . . . . . . 287--296 Robert A. Mapleton Application of the Singular Wave Function Operator in Scattering Theory. II . . . . . . . . . . . . . . . . . . . 297--304 Dave Pandres Derivation of Admissibility Conditions for Wave Functions from General Quantum-Mechanical Principles . . . . . 305--308 John L. Lumley An Approach to the Eulerian--Lagrangian Problem . . . . . . . . . . . . . . . . 309--312 Gerald Rosen Symmetries of the Einstein--Maxwell Equations . . . . . . . . . . . . . . . 313--318 W. R. Johnson and R. T. Deck Continuum Coulomb Wave Function . . . . 319--324 A. Galindo and A. Morales and R. Nuñez-Lagos Superselection Principle and Pure States of $n$-Identical Particles . . . . . . . 324--328 G. M. Prosperi Ergodicity Conditions in Quantum Mechanics and Van Hove's Hamiltonians 329--340 Phillip B. Abraham and George Weiss On the Calculation of Analytic Functions of Cyclic Matrices . . . . . . . . . . . 340--345 Adel da Silveira Unusual Eigenvalues of the Energy Operator . . . . . . . . . . . . . . . . 346--349 S. Fujita and R. Abe Theory of Transport Coefficients. I. General Theory and Electrical Conductivity of Electron--Phonon System 350--359 S. Fujita Theory of Transport Coefficients. II Viscosity Coefficients of Quantum Gases Obeying the Boltzmann Statistics . . . . 359--367 A. C. Pipkin and R. S. Rivlin Non-Rectilinear Current Flow in a Straight Conductor . . . . . . . . . . . 368--371 P. Parzen and G. Nomicos Traveling-Wave Technique of Cyclotron Radiation . . . . . . . . . . . . . . . 372--381 Jun-ichi Hori Long-Time Behavior of a Random Lattice 382--386 Ian C. Percival Addendum: ``Almost Periodicity and the Quantal $H$ Theorem'' . . . . . . . . . 386--386
Howard R. Reiss A Convergent Perturbation Expansion in First-Quantized Electrodynamics . . . . 387--395 John Judson Bowman and Joseph David Harris Green's Distributions and the Cauchy Problem for the Iterated Klein--Gordon Operator . . . . . . . . . . . . . . . . 396--404 J. S. Lomont and H. E. Moses Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero . . . . . . . . . . . . . . . . . . 405--408 M. E. Rose Properties of the Irreducible Angular Momentum Tensors . . . . . . . . . . . . 409--413 Thomas F. Jordan The Quantum-Mechanical Scattering Problem . . . . . . . . . . . . . . . . 414--428 Thomas F. Jordan The Quantum-Mechanical Scattering Problem. II. Multi-Channel Scattering 429--439 P. J. Lynch and B. C. Carlson Theory of High-Energy Potential Scattering . . . . . . . . . . . . . . . 440--450 F. J. Murray Perturbation Theory and Lie Algebras . . 451--468 Norman W. Bazley and David W. Fox A Procedure for Estimating Eigenvalues 469--471 Agnar Pytte A Note on Perturbation Theory in Nearly Periodic Systems . . . . . . . . . . . . 472--474 Robert H. Kraichnan Stochastic Models for Many-Body Systems. I. Infinite Systems in Thermal Equilibrium . . . . . . . . . . . . . . 475--495 Robert H. Kraichnan Stochastic Models for Many-Body Systems. II. Finite Systems and Statistical Nonequilibrium . . . . . . . . . . . . . 496--521 B. Mühlschlegel Asymptotic Expansion of the Bardeen--Cooper--Schrieffer Partition Function by Means of the Functional Method . . . . . . . . . . . . . . . . . 522--530 Leslie L. Foldy Antisymmetric Functions and Slater Determinants . . . . . . . . . . . . . . 531--539 S. Yanagawa Excitation Spectrum of a Fermion System 540--548 H. L. Frisch Locally Maxwellian Solutions for a ``Positronium'' Plasma . . . . . . . . . 549--549 Kurt E. Shuler and George H. Weiss and Knud Andersen Studies in Nonequilibrium Rate Processes. V. The Relaxation of Moments Derived from a Master Equation . . . . . 550--556 B. R. Judd Double-Tensor Operators for Configurations of Equivalent Electrons 557--563 Samuel P. Morgan Transient Response of a Dipole Antenna 564--565 Ezra Newman and Roger Penrose An Approach to Gravitational Radiation by a Method of Spin Coefficients . . . . 566--578 Werner Liniger The Solution of a Transition Problem in a Superconducting Strip . . . . . . . . 578--586 C. Domb and M. F. Sykes Erratum: ``Ising Model Susceptibility [Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem]'' . . . . . . . . . . . . . . . 586--586 M. F. Sykes Erratum: ``Ising Model and Excluded Volume Problem [Some Counting Theorems in the Theory of the Ising Model and the Excluded Volume Problem]'' . . . . . . . 586--586
Thomas F. Jordan and E. C. G. Sudarshan Reduction of Operator Rings and the Irreducibility Axiom in Quantum Field Theory . . . . . . . . . . . . . . . . . 587--594 D. B. Fairlie and P. V. Landshoff and J. Nuttall and J. C. Polkinghorne Singularities of the Second Type . . . . 594--602 Dave Pandres On Forces and Interactions between Fields . . . . . . . . . . . . . . . . . 602--607 Ryoyu Utiyama and Bryce S. DeWitt Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields . . . . . . . . 608--618 Bryce S. DeWitt Definition of Commutators via the Uncertainty Principle . . . . . . . . . 619--624 Bryce S. DeWitt Quantization of Fields with Infinite-Dimensional Invariance Groups. II. Anticommuting Fields . . . . . . . . 625--636 R. Arnowitt and S. Deser The Spin-Statistics Theorem . . . . . . 637--649 Toichiro Kinoshita Mass Singularities of Feynman Amplitudes 650--677 George B. Parrent and Robert A. Shore and Thomas J. Skinner On the Mutual Coherence Function in an Inhomogeneous Medium . . . . . . . . . . 678--684 Alex Grossmann and Tai Tsun Wu Schrödinger Scattering Amplitude. III . . 684--689 K. Meetz Spectrum of the Scattering Integral Operator in the Physical Energy Sheet 690--699 Victor Twersky On Scattering of Waves by Random Distributions. I. Free-Space Scatterer Formalism . . . . . . . . . . . . . . . 700--715 Victor Twersky On a General Class of Scattering Problems . . . . . . . . . . . . . . . . 716--723 Victor Twersky On Scattering of Waves by Random Distributions. II. Two-Space Scatterer Formalism . . . . . . . . . . . . . . . 724--734 Felix T. Smith A Symmetric Representation for Three-Body Problems. I. Motion in a Plane . . . . . . . . . . . . . . . . . 735--748 Elliott Lieb and Daniel Mattis Ordering Energy Levels of Interacting Spin Systems . . . . . . . . . . . . . . 749--751 J. Gunson Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels . . 752--753 William W. Mullins Proof that the Two-Dimensional Shape of Minimum Surface Free Energy is Convex 754--759 E. Ambler and J. C. Eisenstein and J. F. Schooley Traces of Products of Angular Momentum Matrices. II. Spherical Basis . . . . . 760--771 G. H. Weiss and A. A. Maradudin The Baker--Hausdorff Formula and a Problem in Crystal Physics . . . . . . . 771--777 S. F. Edwards and A. Lenard Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. II. The Method of Functional Integration . . . . . . . . . . . . . . 778--792 Paul H. E. Meijer and Tomoyasu Tanaka and Jeremiah Barry Dynamic Behavior of a Set of Weakly Coupled Ising Spins . . . . . . . . . . 793--797 Chen-Ping Yang Thermodynamic Functions of a Fermi System of Dilute Hard Spheres at Temperatures Near Absolute Zero . . . . 797--800 M. W. Muller and S. Dawson Structure of a Bloch Wall . . . . . . . 800--805 Martin Kruskal Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic . . . . . . . . . . . . . . . . 806--828 David G. Boulware Erratum: ``Spin and Statistics with an Electromagnetic Field'' . . . . . . . . 829--829
S. S. Schweber On Feynman Quantization . . . . . . . . 831--842 Mendel Sachs and Solomon L. Schwebel On Covariant Formulations of the Maxwell--Lorentz Theory of Electromagnetism . . . . . . . . . . . . 843--848 Thomas F. Jordan and Mark A. Pinsky and E. C. G. Sudarshan Dynamical Mappings of Density Operators in Quantum Mechanics. II. Time Dependent Mappings . . . . . . . . . . . . . . . . 848--852 A. C. Manoharan The Primitive Domains of Holomorphy for the 4 and 5 Point Wightman Functions . . 853--859 O. W. Greenberg Heisenberg Fields which Vanish on Domains of Momentum Space . . . . . . . 859--866 Roger G. Newton Nonrelativistic $S$-Matrix Poles for Complex Angular Momenta . . . . . . . . 867--882 B. W. Roos and W. C. Sangren Spectral Theory of Dirac's Radial Relativistic Wave Equation . . . . . . . 882--890 Ezra T. Newman and Theodore W. J. Unti Behavior of Asymptotically Flat Empty Spaces . . . . . . . . . . . . . . . . . 891--901 Ezra T. Newman and Louis A. Tamburino Empty Space Metrics Containing Hypersurface Orthogonal Geodesic Rays 902--907 R. K. Sachs On the Characteristic Initial Value Problem in Gravitational Theory . . . . 908--914 David Shale A Note on the Scattering of Boson Fields 915--921 Marcel Froissart Complex Angular Momenta in Potential Scattering . . . . . . . . . . . . . . . 922--927 J. K. Percus and A. Rotenberg Exact Eigenfunctions of Angular Momentum by Rotational Projection . . . . . . . . 928--932 S. T. Kuroda On a Paper of Green and Lanford . . . . 933--935 M. Fowler Introduction to Momentum Space Integration Techniques in Perturbation Theory . . . . . . . . . . . . . . . . . 936--945 E. Leo Slaggie and Eyvind H. Wichmann Asymptotic Properties of the Wave Function for a Bound Nonrelativistic Three-Body System . . . . . . . . . . . 946--968 Per-Olov Löwdin Studies in Perturbation Theory. IV. Solution of Eigenvalue Problem by Projection Operator Formalism . . . . . 969--982 Cyrano De Dominicis Variational Formulations of Equilibrium Statistical Mechanics . . . . . . . . . 983--1002 Hugh E. DeWitt Analytic Properties of the Quantum Corrections to the Second Virial Coefficient . . . . . . . . . . . . . . 1003--1016 Robert J. Swenson Derivation of Generalized Master Equations . . . . . . . . . . . . . . . 1017--1022 J. A. Morrison On the Number of Electron Levels in a One-Dimensional Random Lattice . . . . . 1023--1027 Norman J. Zabusky Exact Solution for the Vibrations of a Nonlinear Continuous Model String . . . 1028--1039 Kenneth G. Wilson Proof of a Conjecture by Dyson . . . . . 1040--1043 Phillip B. Abraham and George H. Weiss Analytic Functions of Continuant Matrices . . . . . . . . . . . . . . . . 1044--1049 Ludwig Grabner and John A. Swanson Symmetry Restrictions on Field Dependent Tensors with Application to Galvanomagnetic Effects . . . . . . . . 1050--1054 Bruno Zumino Normal Forms of Complex Matrices . . . . 1055--1057 M. Girardeau Erratum: ``Variational Method for the Quantum Statistics of Interacting Particles'' . . . . . . . . . . . . . . 1058--1058
George Gioumousis and C. F. Curtiss Molecular Collisions. IV. Nearly Spherical Rigid Body Approximation . . . 1059--1072 Bryce S. DeWitt Quantization of Fields with Infinite-Dimensional Invariance Groups. III. Generalized Schwinger--Feynman Theory . . . . . . . . . . . . . . . . . 1073--1093 I. Bialynicki-Birula On the Gauge Covariance of Quantum Electrodynamics . . . . . . . . . . . . 1094--1098 Jamal N. Islam Modified Mandelstam Representation for Heavy Particles . . . . . . . . . . . . 1098--1106 H. M. Fried Axiomatic Perturbation Theory for Retarded Functions . . . . . . . . . . . 1107--1115 A. J. Macfarlane On the Restricted Lorentz Group and Groups Homomorphically Related to It . . 1116--1129 Francis R. Halpern A Criterion for Singularities in Perturbation Theory . . . . . . . . . . 1130--1134 Abraham Pais On Spinors in n Dimensions . . . . . . . 1135--1139 Noboru Nakanishi Integral Representations for Production Amplitudes in Perturbation Theory . . . 1139--1146 Levente Szász Atomic Many-Body Problem. II. The Matrix Components of the Hamiltonian with Respect to Correlated Wave Functions . . 1147--1160 S. Tani and D. A. Uhlenbrock Hard Core Produced by Orthogonality Constraints . . . . . . . . . . . . . . 1161--1170 Per-Olov Löwdin Studies in Perturbation Theory. V. Some Aspects on the Exact Self-Consistent Field Theory . . . . . . . . . . . . . . 1171--1184 A. Galindo On a Functional Averaging Method in the Classical Ensemble Theory . . . . . . . 1185--1190 Freeman J. Dyson A Brownian-Motion Model for the Eigenvalues of a Random Matrix . . . . . 1191--1198 Freeman J. Dyson The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics . . . . . . . . . . . 1199--1215 Hugh E. DeWitt Evaluation of the Quantum-Mechanical Ring Sum with Boltzmann Statistics . . . 1216--1228 Robert M. Lewis Quantum Statistics and the Boltzmann Equation . . . . . . . . . . . . . . . . 1229--1246 S. Fujita Theory of Transport Coefficients. III. Quantum Statistical Systems . . . . . . 1246--1250 Lloyd D. Fosdick Numerical Estimation of the Partition Function in Quantum Statistics . . . . . 1251--1264 Tai Tsun Wu Dimers on Rectangular Lattices . . . . . 1265--1266 Richard J. Runge Approximate Solutions of the Modified Bloch Equations for Low Magnetic Fields 1267--1277 J. Zak Selection Rules for Integrals of Bloch Functions . . . . . . . . . . . . . . . 1278--1279 S. Pasternack and R. M. Sternheimer An Orthogonality Property of Hydrogenlike Radial Functions . . . . . 1280--1280 John Judson Bowman and Joseph David Harris Green's Distributions and the Cauchy Problem for the Multi-Mass Klein--Gordon Operator . . . . . . . . . . . . . . . . 1281--1290 John Judson Bowman and Joseph David Harris Green's Distributions Associated with the Operator $[\Box^m - (-\mu^2)^m]^l$ 1291--1297 Tai Tsun Wu Input Admittance of Infinitely Long Dipole Antennas Driven from Coaxial Lines . . . . . . . . . . . . . . . . . 1298--1301 Tai Tsun Wu Theory of the Thin Circular Loop Antenna 1301--1304
Pradip M. Bakshi and Kalyana T. Mahanthappa Expectation Value Formalism in Quantum Field Theory. I . . . . . . . . . . . . 1--11 Pradip M. Bakshi and Kalyana T. Mahanthappa Expectation Value Formalism in Quantum Field Theory. II . . . . . . . . . . . . 12--16 J. Sucher Relativistic Invariance and the Square-Root Klein--Gordon Equation . . . 17--23 Iwao Sato Normalization Condition for the Bethe--Salpeter Wavefunction and a Formal Solution to the Bethe--Salpeter Equation . . . . . . . . . . . . . . . . 24--35 Donald G. Babbitt A Summation Procedure for Certain Feynman Integrals . . . . . . . . . . . 36--41 Edward M. Corson A Unified Variational Formulation of Classical and Quantum Dynamics. I . . . 42--44 A. Das Complex Scalar Field in General Relativity . . . . . . . . . . . . . . . 45--51 C. N. Yang Mathematical Deductions from Some Rules Concerning High-Energy Total Cross Sections . . . . . . . . . . . . . . . . 52--53 Bertram R. Levy and Joseph B. Keller Low-Energy Expansion of Scattering Phase Shifts for Long-Range Potentials . . . . 54--64 C. Yeh The Diffraction of Waves By a Penetrable Ribbon . . . . . . . . . . . . . . . . . 65--71 L. D. Faddeyev and B. Seckler The Inverse Problem in the Quantum Theory of Scattering . . . . . . . . . . 72--104 Robert Englman and Peretz Levi The Line Shape in a Harmonic Lattice . . 105--115 J. L. Lebowitz and J. K. Percus Statistical Thermodynamics of Nonuniform Fluids . . . . . . . . . . . . . . . . . 116--123 Michael E. Fisher Perpendicular Susceptibility of the Ising Model . . . . . . . . . . . . . . 124--135 D. Finkelstein and J. M. Jauch and D. Speiser Quaternionic Representations of Compact Groups . . . . . . . . . . . . . . . . . 136--140 Farouk Odeh Uniqueness and Existence of the Solution to the Static London--Maxwell Equations in Two Dimensions . . . . . . . . . . . 141--146
S. R. De Groot On the Development of Nonequilibrium Thermodynamics . . . . . . . . . . . . . 147--153 J. Meixner Thermodynamics of Electrical Networks and the Onsager--Casimir Reciprocal Relations . . . . . . . . . . . . . . . 154--159 E. Helfand and R. J. Bearman and V. S. Vaidhyanathan Theory of the Soret Effect in Electrolytic Solutions . . . . . . . . . 160--165 P. Résibois Structure of the Three-Particle Scattering Operator in Classical Gases 166--173 Ryogo Kubo Stochastic Liouville Equations . . . . . 174--183 E. G. D. Cohen On the Kinetic Theory of Dense Gases . . 183--189 N. G. Van Kampen Thermal Fluctuations in Nonlinear Systems . . . . . . . . . . . . . . . . 190--194 Eugene P. Gross Hydrodynamics of a Superfluid Condensate 195--207 Paul C. Martin A Microscopic Approach to Superfluidity and Superconductivity . . . . . . . . . 208--215 M. Kac and G. E. Uhlenbeck and P. C. Hemmer On the van der Waals Theory of the Vapor--Liquid Equilibrium. I. Discussion of a One-Dimensional Model . . . . . . . 216--228 G. E. Uhlenbeck and P. C. Hemmer and M. Kac On the van der Waals Theory of the Vapor-Liquid Equilibrium. II. Discussion of the Distribution Functions . . . . . 229--247 J. L. Lebowitz and J. K. Percus Asymptotic Behavior of the Radial Distribution Function . . . . . . . . . 248--254 C. De Dominicis Variational Statistical Mechanics in Terms of ``Observables'' for Normal and Superfluid Systems . . . . . . . . . . . 255--265 E. Verboven The Master Equation with Special Transition Probabilities . . . . . . . . 266--270 P. Mazur and J. Van Der Linden Asymptotic Form of the Structure Function for Real Systems . . . . . . . 271--277 Michael E. Fisher Lattice Statistics --- a Review and an Exact Isotherm for a Plane Lattice Gas 278--286 P. W. Kasteleyn Dimer Statistics and Phase Transitions 287--293 Roy J. Glauber Time-Dependent Statistics of the Ising Model . . . . . . . . . . . . . . . . . 294--307 Elliott W. Montroll and Renfrey B. Potts and John C. Ward Correlations and Spontaneous Magnetization of the Two-Dimensional Ising Model . . . . . . . . . . . . . . 308--322
Kurt Haller Scattering, Weak Decays, and Final-State Interactions in Model Theories in a Dressed-Particle Picture . . . . . . . . 323--331 Asher Peres Mechanical Model for Quantum Field Theory . . . . . . . . . . . . . . . . . 332--333 D. D. Betts and H. Schiff and W. B. Strickfaden Approximate Solution of a Nonlinear Field Equation . . . . . . . . . . . . . 334--338 Peter D. Robinson and Joseph O. Hirschfelder Generalized Momentum Operators in Quantum Mechanics . . . . . . . . . . . 338--347 Peter D. Robinson On the Nonorthogonality of Generalized Momentum Eigenfunctions in Quantum Mechanics . . . . . . . . . . . . . . . 348--353 B. G. Wybourne Electrostatic Interactions in Complex Electron Configurations . . . . . . . . 354--356 J. H. Hetherington Partial Wave Analysis of the Scattering of Charged Spinless Particles . . . . . 357--358 J. Challifour and R. J. Eden Regge Poles and Branch Cuts for Potential Scattering . . . . . . . . . . 359--371 Johan G. Belinfante and Burhan C. Unal Potential Scattering . . . . . . . . . . 372--387 Roger F. Dashen New Approach to Low-Energy Potential Scattering . . . . . . . . . . . . . . . 388--391 Bernard Rosen Relativistic Coulomb Scattering . . . . 392--404 Newton I. Greenberg Binary Kernel Formulation of a Heisenberg Model of Ferromagnetism . . . 405--409 Edward A. Frieman On a New Method in the Theory of Irreversible Processes . . . . . . . . . 410--418 C. N. Yang Some Properties of the Reduced Density Matrix . . . . . . . . . . . . . . . . . 418--419 J. S. Lomont and H. E. Moses and Kwang Yu Equivalence and Antiequivalence of Irreducible Sets of Operators. I. Finite Dimensional Spaces . . . . . . . . . . . 420--423 Lincoln E. Bragg and Bernard D. Coleman On Strain Energy Functions for Isotropic Elastic Materials . . . . . . . . . . . 424--426 Francesco Calogero Note on the Riccati Equation . . . . . . 427--430 George T. Trammell Symmetry Functions of the Cube . . . . . 431--436 L. C. Biedenharn On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in $N$ Dimensions . . . . . . . . 436--445 Martin A. Leibowitz Moments of the Neutron Time-Energy Distribution and the Use of Random Functionals . . . . . . . . . . . . . . 446--450
H. M. Fried Axiomatic Perturbation Theory. II. Partial Sum Formalism . . . . . . . . . 451--464 V. Amar and M. Lucchini and P. G. Sona Group Properties of Free-Field Equations 465--468 Gérard Emch and Constantin Piron Symmetry in Quantum Theory . . . . . . . 469--473 Joseph B. Aviles $N$-Body Bose System with a Finite Number of States. I. Irreducible Representations . . . . . . . . . . . . 473--483 I. Robinson and A. Schild Generalization of a Theorem by Goldberg and Sachs . . . . . . . . . . . . . . . 484--489 Alan J. Macfarlane Kinematics of the Relativistic Two-Particle System . . . . . . . . . . 490--500 H. Goldberg and Y. Lehrer-Ilamed Derivation of the Gell-Mann--Okubo Mass Formula . . . . . . . . . . . . . . . . 501--502 J. C. Polkinghorne High-Energy Behavior in Perturbation Theory . . . . . . . . . . . . . . . . . 503--506 K. L. Kowalski and D. Feldman Transition Matrix for Nucleon-Nucleon Scattering. II . . . . . . . . . . . . . 507--518 Edward M. Corson Unified Variational Formulation of Classical and Quantum Dynamics. II . . . 519--521 Koichi Mano Eigenfunction Form of the Nonrelativistic Coulomb Green's Function 522--529 W. E. Parry and R. E. Turner Some Analytic Properties of Green Functions and Self-Energy Parts for a System of Interacting Bosons . . . . . . 530--533 Andrew Lenard Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. III. Statistics of the Electric Field . . . . . . . . . . . . . . . . . 533--543 Robert J. Swenson Generalized Master Equation and $t$-Matrix Expansion . . . . . . . . . . 544--551 E. Atlee Jackson Nonlinear Coupled Oscillators. I. Perturbation Theory; Ergodic Problem . . 551--558 T. K. Fowler Lyapunov's Stability Criteria for Plasmas . . . . . . . . . . . . . . . . 559--569 Jan Tarski Partition Function for Certain Simple Lie Algebras . . . . . . . . . . . . . . 569--574 James Wei and Edward Norman Lie Algebraic Solution of Linear Differential Equations . . . . . . . . . 575--581 Rosemary A. Coldwell-Horsfall and Alexei A. Maradudin Erratum: ``Zero-Point Energy of an Electron Lattice'' . . . . . . . . . . . 582--582
O. Steinmann Structure of the Two-Point Function . . 583--588 David R. Speiser and Jan Tarski Possible Schemes for Global Symmetry . . 588--612 O. W. Greenberg and A. L. Licht Quantum Field-Theory Model whose Truncated Vacuum Expectation Values Vanished beyond Some Order . . . . . . . 613--614 R. Arnowitt and S. Deser Note on Uniqueness of Canonical Commutation Relations . . . . . . . . . 615--617 N. H. Fuchs High-Energy Behavior of a Certain Class of Scattering Amplitudes in Perturbation Theory . . . . . . . . . . . . . . . . . 617--621 R. C. Whitten Three-Particle Scattering. I. Planar Case . . . . . . . . . . . . . . . . . . 622--633 Donald R. Fredkin Asymptotic Form of the Proper Self-Energy Function in Many-Particle Systems . . . . . . . . . . . . . . . . 634--636 H. Araki and E. J. Woods Representations of the Canonical Commutation Relations Describing a Nonrelativistic Infinite Free Bose Gas 637--662 G. H. Derrick Representation of Annihilation Operators in the Space of Periodic Functions . . . 663--666 T. D. Schultz Note on the One-Dimensional Gas of Impenetrable Point-Particle Bosons . . . 666--671 Elliott Lieb New Method in the Theory of Imperfect Gases and Liquids . . . . . . . . . . . 671--678 B. W. Ninham Asymptotic Form of the Coefficients of Some Ising-Model Series . . . . . . . . 679--685 E. Atlee Jackson Nonlinear Coupled Oscillators. II. Comparison of Theory with Computer Solutions . . . . . . . . . . . . . . . 686--700 Freeman J. Dyson and Madan Lal Mehta Statistical Theory of the Energy Levels of Complex Systems. IV . . . . . . . . . 701--712 Madan Lal Mehta and Freeman J. Dyson Statistical Theory of the Energy Levels of Complex Systems. V . . . . . . . . . 713--719 Jean Ginibre Wigner--Eckart Theorem and Simple Lie Groups . . . . . . . . . . . . . . . . . 720--726
H. M. Fried and J. G. Taylor Propagator Ghosts and Regge Poles . . . 727--730 Heinz R. Pagels Divergence Conditions and the Gravitational Field Equations . . . . . 731--734 F. K. Manasse and C. W. Misner Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry . . . 735--745 F. K. Manasse Distortion in the Metric of a Small Center of Gravitational Attraction due to its Proximity to a Very Large Mass 746--761 Kêitsiro Aizu Parameter Differentiation of Quantum-Mechanical Linear Operators . . 762--775 Jean-Marc Levy-Leblond Galilei Group and Nonrelativistic Quantum Mechanics . . . . . . . . . . . 776--788 D. Finkelstein and J. M. Jauch and S. Schiminovich and D. Speiser Principle of General Q Covariance . . . 788--796 A. Syed Reduction of $S$-Matrix Elements . . . . 797--808 Fumiaki Iwamoto Theorem on Energy Shifts Due to a Potential in a Large Box . . . . . . . . 809--811 Amiram Ron Generalized Dielectric Function for Classical Many-Body Systems . . . . . . 811--823 Leonard S. Taylor Lorentz--Lorenz and Sellmeier Formulas in Irregular Gases . . . . . . . . . . . 824--828 Joseph B. Keller and S. I. Rubinow and Max Goldstein Zeros of Hankel Functions and Poles of Scattering Amplitudes . . . . . . . . . 829--832 W. R. Smythe Charged Spheroid in Cylinder . . . . . . 833--837 Hyman Serbin Quadratic Invariants of Surface Deformations and the Strain Energy of Thin Elastic Shells . . . . . . . . . . 838--851 M. A. Leibowitz Statistical Behavior of Linear Systems with Randomly Varying Parameters . . . . 852--858
C. Fronsdal and R. E. Norton and K. T. Mahanthappa More Integral Representations for Scattering Amplitudes with Complex Singularities . . . . . . . . . . . . . 859--871 Jamal N. Islam Acnodes and Cusps and the Mandelstam Representation . . . . . . . . . . . . . 872--878 Francis R. Halpern Singularities of the Four-Point Function in Perturbation Theory with Variable Masses . . . . . . . . . . . . . . . . . 879--884 Eyvind H. Wichmann Density Matrices Arising from Incomplete Measurements . . . . . . . . . . . . . . 884--896 Kenneth D. Granzow $N$-Dimensional Total Orbital Angular-Momentum Operator . . . . . . . 897--900 P. A. M. Dirac A Remarkable Representation of the $3 + 2$ de Sitter Group . . . . . . . . . . . 901--909 D. C. Peaslee Particle Charge Symmetries as $R_8$ Subgroups . . . . . . . . . . . . . . . 910--914 E. Newman and L. Tamburino and T. Unti Empty-Space Generalization of the Schwarzschild Metric . . . . . . . . . . 915--923 Charles W. Misner The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space . . . . . . . . . . . . . . . . . 924--937 Richard W. Lindquist Initial-Value Problem on Einstein--Rosen Manifolds . . . . . . . . . . . . . . . 938--950 C. Lanczos Undulatory Riemannian Spaces . . . . . . 951--959 Harry Kesten On the Number of Self-Avoiding Walks . . 960--969 Tatuya Sasakawa New Method for Solving Eigenvalue Problems . . . . . . . . . . . . . . . . 970--992 Kenneth J. Harker Solution of the Cauchy Problem for Laplace's Equation in Axially Symmetric Systems . . . . . . . . . . . . . . . . 993--997 E. Newman and R. Penrose Errata: ``An Approach to Gravitational Radiation by a Method of Spin Coefficients'' . . . . . . . . . . . . . 998--998 G. S. Rushbrooke and H. I. Scoins Errata: ``Cluster Sums for the Ising Model'' . . . . . . . . . . . . . . . . 998--998
B. W. Roos and W. C. Sangren Expansions Associated with a Pair of Singular First-Order Differential Equations . . . . . . . . . . . . . . . 999--1008 R. Balescu Kinetic Equation for an Unstable Plasma 1009--1019 Antonio Pagnamenta Regularity of the $T$ Matrix in the Case of Dirac Potential Scattering . . . . . 1020--1028 E. C. G. Sudarshan The Nature of the Axioms of Relativistic Quantum Field Theory. II . . . . . . . . 1029--1036 Philip R. Karr Generalized ``Cross-Correlation'' Field Quantities as Solutions of Field Equations . . . . . . . . . . . . . . . 1037--1039 C. E. Porter Random Matrix Diagonalization-Some Numerical Computations . . . . . . . . . 1039--1042 Hong-Mo Chan Real Unitary Representation of the Many-Channel $S$ Matrix for Complex $l$ and $E$ . . . . . . . . . . . . . . . . 1042--1047 Reese T. Prosser Relativistic Potential Scattering . . . 1048--1054 John R. Klauder Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory . . . . . . . . . . . . . . . . . 1055--1058 John R. Klauder Continuous-Representation Theory. II. Generalized Relation between Quantum and Classical Dynamics . . . . . . . . . . . 1058--1073 Lincoln E. Bragg and Bernard D. Coleman A Thermodynamical Limitation on Compressibility . . . . . . . . . . . . 1074--1077 M. Kac and E. Helfand Study of Several Lattice Systems with Long-Range Forces . . . . . . . . . . . 1078--1088 T. F. Jordan and N. Mukunda and S. V. Pepper Irreducible Representations of Generalized Oscillator Operators . . . . 1089--1095 M. Girardeau Formulation of the Many-Body Problem for Composite Particles . . . . . . . . . . 1096--1115 Philip B. Abraham and George H. Weiss Evaluation of Certain Sums Arising in Chemical Physics . . . . . . . . . . . . 1115--1118
S. Teitler Asymptotic Wave Vector and Nonrelativistic Perturbation Theory . . 1119--1127 Marcos Moshinsky Bases for the Irreducible Representations of the Unitary Groups and Some Applications . . . . . . . . . 1128--1139 Fukashi Sasaki and Kimio Ohno Spin-Component Analysis of Single-Determinant Wavefunctions . . . . 1140--1147 Norman W. Bazley and David W. Fox Lower Bounds for Energy Levels of Molecular Systems . . . . . . . . . . . 1147--1153 J. M. Luttinger An Exactly Soluble Model of a Many-Fermion System . . . . . . . . . . 1154--1162 Werner Israel Relativistic Kinetic Theory of a Simple Gas . . . . . . . . . . . . . . . . . . 1163--1181 Amiram Ron Kinetic Equations for Electrons and Phonons . . . . . . . . . . . . . . . . 1182--1190 George H. Vineyard The Number of Distinct Sites Visited in a Random Walk on a Lattice . . . . . . . 1191--1193 A. W. K. Metzner Observable Properties of Large Relativistic Masses . . . . . . . . . . 1194--1205 Mohammed Azizul Islam Mathematical Analysis on the Effect of a Prolate Spheroidal Core in a Magnetic Dipole Field . . . . . . . . . . . . . . 1206--1212 S. Sherman Addendum: ``Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs'' . . . . . . . . . . . . . . . . 1213--1214
A. Chakrabarti Canonical Form of the Covariant Free-Particle Equations . . . . . . . . 1215--1222 A. Chakrabarti Relativistic Position Operator for Free Particles . . . . . . . . . . . . . . . 1223--1228 Noboru Nakanishi Invariant Solutions of the Exact Bethe--Salpeter Equation in the General-Mass Case . . . . . . . . . . . 1229--1235 Noboru Nakanishi Remarks on the Double Dispersion Approach to the Bethe--Salpeter Equation 1235--1240 Yukio Tomozawa Local Commutativity and the Analytic Continuation of the Wightman Function 1240--1252 D. Bessis and F. Pham Complex Singularities in Production Amplitudes . . . . . . . . . . . . . . . 1253--1257 S. Tani Regge Poles in High-Energy Potential Scattering . . . . . . . . . . . . . . . 1258--1262 R. K. Nesbet Computation of Matrix Elements of Integrable Nuclear Two-Particle Interaction Operators . . . . . . . . . 1262--1271 T. J. Krieger and C. E. Porter Reduced Width Amplitude Distributions and Random Sign Rules in $R$-Matrix Theory . . . . . . . . . . . . . . . . . 1272--1279 Nazakat Ullah Reduced Width Amplitude Distributions for the Unitary Ensemble . . . . . . . . 1279--1282 Abraham Klein Invariant Operators of the Unitary Unimodular Group in n Dimensions . . . . 1283--1284 Roman J. Bednarz and Janusz R. Mika Energy-Dependent Boltzmann Equation in Plane Geometry . . . . . . . . . . . . . 1285--1292 Joseph Ford and John Waters Computer Studies of Energy Sharing and Ergodicity for Nonlinear Oscillator Systems . . . . . . . . . . . . . . . . 1293--1306 John O. Dimmock Representation Theory for Nonunitary Groups . . . . . . . . . . . . . . . . . 1307--1311 Oliver Penrose Convergence of Fugacity Expansions for Fluids and Lattice Gases . . . . . . . . 1312--1320 P. N. Burgoyne Remarks on the Combinatorial Approach to the Ising Problem . . . . . . . . . . . 1320--1326 Gerald Rosen Approximate Evaluation of Feynman Functional Integrals . . . . . . . . . . 1327--1333 W. S. Rothwell New Small-Angle X-Ray Scattering Calculation . . . . . . . . . . . . . . 1334--1336 James Wei Note on the Global Validity of the Baker--Hausdorff and Magnus Theorems . . 1337--1341 Roger G. Newton Errata: ``Nonrelativistic $S$-Matrix Poles for Complex Angular Momenta'' . . 1342--1342
Huzihiro Araki A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field . . . . . . . . . . . . 1343--1362 Paul H. Moravek and David W. Joseph Method for Construction of Unitary Operators in Quantum Field Theory . . . 1363--1366 Hans C. Andersen and Irwin Oppenheim Modified Langevin Equation for the Description of Brownian Motion . . . . . 1367--1372 Ll. G. Chambers Comparison of Two Generalizations of Maxwell's Equations Involving Creation of Charge . . . . . . . . . . . . . . . 1373--1375 K. M. Case and P. F. Zweifel Existence and Uniqueness Theorems for the Neutron Transport Equation . . . . . 1376--1385 Noboru Nakanishi Fundamental Properties of Perturbation-Theoretical Integral Representations. II . . . . . . . . . . 1385--1392 J. C. Polkinghorne Singularities of Regge Trajectories and Asymptotes to Landau Curves . . . . . . 1393--1395 J. C. Polkinghorne High-Energy Behavior in Perturbation Theory. II . . . . . . . . . . . . . . . 1396--1400 A. O. Barut and J. Dilley Behavior of the Scattering Amplitude for Large Angular Momentum . . . . . . . . . 1401--1408 L. Sartori Asymptotic Behavior of Schrödinger Scattering Amplitudes . . . . . . . . . 1408--1414 C. Dullemond Coupled Schrödinger Equations and Statistical Boundary Conditions . . . . 1415--1432 T. W. B. Kibble Canonical Variables for the Interacting Gravitational and Dirac Fields . . . . . 1433--1437 F. Y. Wu Cluster Development in an $N$-Body Problem . . . . . . . . . . . . . . . . 1438--1443 A. L. Licht Strict Localization . . . . . . . . . . 1443--1447
G. E. Baird and L. C. Biedenharn On the Representations of the Semisimple Lie Groups. II . . . . . . . . . . . . . 1449--1466 Ezra T. Newman and T. W. J. Unti A Class of Null Flat-Space Coordinate Systems . . . . . . . . . . . . . . . . 1467--1469 Douglas G. Currie Interaction contra Classical Relativistic Hamiltonian Particle Mechanics . . . . . . . . . . . . . . . 1470--1488 Oliver Penrose The Remainder in Mayer's Fugacity Series 1488--1494 J. L. Lebowitz and J. K. Percus Integral Equations and Inequalities in the Theory of Fluids . . . . . . . . . . 1495--1506 J. S. R. Chisholm Solution of Linear Integral Equations Using Padé Approximants . . . . . . . . . 1506--1510 Richard V. Kadison Remarks on the Type of Von Neumann Algebras of Local Observables in Quantum Field Theory . . . . . . . . . . . . . . 1511--1516 Victor A. Erma Perturbation Approach to the Electrostatic Problem for Irregularly Shaped Conductors . . . . . . . . . . . 1517--1526 James A. McLennan and Robert J. Swenson Theory of Transport Coefficients in Low-Density Gases . . . . . . . . . . . 1527--1536 Henry Brysk Determinantal Solution of the Fredholm Equation with Green's Function Kernel 1536--1538 Noboru Nakanishi External-Mass Singularity . . . . . . . 1539--1541
Huzihiro Araki Von Neumann Algebras of Local Observables for Free Scalar Field . . . 1--13 Cyrano De Dominicis and Paul C. Martin Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. I. Algebraic Formulation . . . 14--30 Cyrano De Dominicis and Paul C. Martin Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. II. Diagrammatic Formulation 31--59 P. C. Hemmer and M. Kac and G. E. Uhlenbeck On the van der Waals Theory of the Vapor--Liquid Equilibrium. III. Discussion of the Critical Region . . . 60--74 P. C. Hemmer On the van der Waals Theory of the Vapor-Liquid Equilibrium. IV. The Pair Correlation Function and Equation of State for Long-Range Forces . . . . . . 75--84 Robert L. Peterson and Paul M. Quay Generalized Master Equations for the Density Matrix . . . . . . . . . . . . . 85--89 C. A. Hurst Applicability of the Pfaffian Method to Combinatorial Problems on a Lattice . . 90--100 C. Fronsdal and R. E. Norton Integral Representations for Vertex Functions . . . . . . . . . . . . . . . 100--108 H. Bacry Position and Polarization Operators in Relativistic and Nonrelativistic Mechanics . . . . . . . . . . . . . . . 109--111 A. H. Taub Motion of Test Bodies in General Relativity . . . . . . . . . . . . . . . 112--119 A. J. Dragt and R. Karplus Poles in Coupled Scattering Amplitudes 120--126 Eugene Helfand Approach to a Phase Transition in a One-Dimensional System . . . . . . . . . 127--132 William D. Schulz Tensor Artificial Viscosity for Numerical Hydrodynamics . . . . . . . . 133--138 R. A. Struble and T. C. Harris Motion of a Relativistic Damped Oscillator . . . . . . . . . . . . . . . 138--141 Toshio Soda Excitation Spectrum of an Impurity in the Hard-Sphere Bose Gas . . . . . . . . 142--146 Walter R. Sooy Approximate Calculations of Scattering Phase Shifts . . . . . . . . . . . . . . 147--154
Hans Joos Group-Theoretical Models of Local-Field Theories . . . . . . . . . . . . . . . . 155--164 Benoit Mandelbrot On the Derivation of Statistical Thermodynamics from Purely Phenomenological Principles . . . . . . 164--171 J. N. Goldberg and R. P. Kerr Asymptotic Properties of the Electromagnetic Field . . . . . . . . . 172--176 John R. Klauder Continuous-Representation Theory. III. On Functional Quantization of Classical Systems . . . . . . . . . . . . . . . . 177--187 Marian Günther Separation of Angular Variables in the Bethe--Salpeter Equation for Two Spin-$1/2$ Particles . . . . . . . . . . 188--192 James D. Bjorken Regge Behavior of Forward Elastic Scattering Amplitudes . . . . . . . . . 192--198 Burt Jules Morse Diffraction by Polygonal Cylinders . . . 199--214 Burt V. Bronk Accuracy of the Semicircle Approximation for the Density of Eigenvalues of Random Matrices . . . . . . . . . . . . . . . . 215--220 D. E. McCumber Theory of Vibrational Structure in Optical Spectra of Impurities in Solids. I. Singlets . . . . . . . . . . . . . . 221--230 Martin D. Kruskal and Norman J. Zabusky Stroboscopic-Perturbation Procedure for Treating a Class of Nonlinear Wave Equations . . . . . . . . . . . . . . . 231--244 R. A. Sack Generalization of Laplace's Expansion to Arbitrary Powers and Functions of the Distance between Two Points . . . . . . 245--251 R. A. Sack Three-Dimensional Addition Theorem for Arbitrary Functions Involving Expansions in Spherical Harmonics . . . . . . . . . 252--259 R. A. Sack Two-Center Expansion for the Powers of the Distance Between Two Points . . . . 260--268 I. E. Segal Explicit Formal Construction of Nonlinear Quantum Fields . . . . . . . . 269--282 Ying-Nan Chiu Irreducible Tensor Expansion of Solid Spherical Harmonic-Type Operators in Quantum Mechanics . . . . . . . . . . . 283--288 S. P. Rosen Some Properties of Triangular Representations of ${\rm SU}(3)$ . . . . 289--293 J. S. Lomont and H. E. Moses The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis . . . . . . . . . . . . . 294--298
John T. Cannon and Thomas F. Jordan A No-Interaction Theorem in Classical Relativistic Hamiltonian Particle Dynamics . . . . . . . . . . . . . . . . 299--307 R. M. Bevensee Quantum Electrodynamics of the Stimulated Emission of Radiation. I . . 308--324 F. Rohrlich Functional Differential Calculus of Operators . . . . . . . . . . . . . . . 324--331 Edward Nelson Feynman Integrals and the Schrödinger Equation . . . . . . . . . . . . . . . . 332--343 C. Yeh An Application of Sommerfeld's Complex-Order Wavefunctions to an Antenna Problem . . . . . . . . . . . . 344--350 John W. Durso and Peter Signell Regge Poles and Potentials with Cores 350--354 L. M. Garrido Generalized Adiabatic Invariance . . . . 355--362 William M. Frank Convergence of Yukawa Theories with a Finite Number of Interacting Boson Modes 363--372 Peter Havas The Connection between Conservation Laws and Laws of Motion in Affine Spaces . . 373--378 Tatuya Sasakawa Determinantal Method in Perturbation Theory . . . . . . . . . . . . . . . . . 379--382 Robert S. Northcote and Renfrey B. Potts Energy Sharing and Equilibrium for Nonlinear Systems . . . . . . . . . . . 383--398 A. Leonard and T. W. Mullikin Spectral Analysis of the Anisotropic Neutron Transport Kernel in Slab Geometry with Applications . . . . . . . 399--411 J. T. Reynolds and D. S. Onley and L. C. Biedenharn Some Exact Radial Integrals for Dirac--Coulomb Functions . . . . . . . . 411--419 Per O. M. Olsson Integration of the Partial Differential Equations for the Hypergeometric Functions $F_1$ and $F_D$ of Two and More Variables . . . . . . . . . . . . . 420--430 J. C. Polkinghorne The Complete High-Energy Behavior of Ladder Diagrams in Perturbation Theory 431--434
D. E. Bilhorn and L. L. Foldy and R. M. Thaler and W. Tobocman and V. A. Madsen Remarks Concerning Reciprocity in Quantum Mechanics . . . . . . . . . . . 435--441 Eduard Prugovecki Multiplicative Symmetries in Axiomatic Quantum Field Theory . . . . . . . . . . 442--455 R. Fong and J. Sucher Relativistic Particle Dynamics and the $S$ Matrix . . . . . . . . . . . . . . . 456--470 Ko Aizu and Gianfausto Dell'Antonio and Arnold J. F. Siegert Field Operators for Bosons with Impenetrable Cores. II. Equations of Motion and General Operator Formalism 471--489 E. C. Zeeman Causality Implies the Lorentz Group . . 490--493 John Gabriel New Methods for Reduction of Group Representations Using an Extension of Schur's Lemma . . . . . . . . . . . . . 494--504 Koichi Mano Representations for the Nonrelativistic Coulomb Green's Function . . . . . . . . 505--508 D. E. McCumber Theory of Vibrational Structure in Optical Spectra of Impurities in Solids. II. Multiplets . . . . . . . . . . . . . 508--521 H. C. Andersen and I. Oppenheim and Kurt E. Shuler and George H. Weiss Exact Conditions for the Preservation of a Canonical Distribution in Markovian Relaxation Processes . . . . . . . . . . 522--536 Frank C. Karal and Joseph B. Keller Elastic, Electromagnetic, and Other Waves in a Random Medium . . . . . . . . 537--547 Joseph B. Keller A Theorem on the Conductivity of a Composite Medium . . . . . . . . . . . . 548--549 Mohammed Azizul Islam Scattering of Electromagnetic Waves by a Composite Cylinder . . . . . . . . . . . 550--557 Saul Silven Application of Operational Methods to the Analysis of Uniform Plasmas . . . . 557--560 C. F. Curtiss Expansions of Integrals of Bessel Functions of Large Order . . . . . . . . 561--564
D. Lurié and A. J. Macfarlane Matrix Elements of the Octet Operator of ${\rm SU}_3$ . . . . . . . . . . . . . . 565--575 A. J. Macfarlane and N. Mukunda and E. C. G. Sudarshan Generalized Shmushkevich Method: Proof of Basic Results . . . . . . . . . . . . 576--580 R. F. Streater Intensive Observables in Quantum Theory 581--590 Levere Hostler Coulomb Green's Functions and the Furry Approximation . . . . . . . . . . . . . 591--611 Peter D. Lax Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations . . . . . 611--613 A. P. Balachandran Boundary Conditions for a Partial-Wave Amplitude . . . . . . . . . . . . . . . 614--621 J. B. McGuire Study of Exactly Soluble One-Dimensional $N$-Body Problems . . . . . . . . . . . 622--636 K. W. Wong Application of Nonlocal Field Operators to a System of Hard-Sphere Bose Gas . . 637--642 M. S. Wertheim Analytic Solution of the Percus--Yevick Equation . . . . . . . . . . . . . . . . 643--651 Gerald L. Jones The Influence of Initial Correlations on the Approach to Equilibrium . . . . . . 651--658 E. E. Salpeter and S. B. Treiman Multiple Scattering in the Diffusion Approximation . . . . . . . . . . . . . 659--668 M. R. Mendelson and G. C. Summerfield One-Speed Neutron Transport in Two Adjacent Half-Spaces . . . . . . . . . . 668--674 George H. Weiss Simple Derivation of the Faxén Solution to the Lamm Equation . . . . . . . . . . 675--676 C. L. Mehta Phase-Space Formulation of the Dynamics of Canonical Variables . . . . . . . . . 677--686 Leonard Gross Norm Invariance of Mass-Zero Equations under the Conformal Group . . . . . . . 687--695 Daniel M. Lipkin Existence of a New Conservation Law in Electromagnetic Theory . . . . . . . . . 696--700
Reese T. Prosser Segal's Quantization Procedure . . . . . 701--707 Reese T. Prosser Convergent Perturbation Expansions for Certain Wave Operators . . . . . . . . . 708--713 W. Garczynski The Necessary and Sufficient Condition in Terms of Wightman Functions for a Field to be a Generalized Free Field . . 714--719 Asher Peres On Dirac's Wave Equation in a Gravitational Field . . . . . . . . . . 720--721 G. C. Ghirardi and A. Rimini Properties of a Class of Nonlocal Solvable Interactions . . . . . . . . . 722--728 John D. Dollard Asymptotic Convergence and the Coulomb Interaction . . . . . . . . . . . . . . 729--738 Don Secrest and Lloyd Martin Holm Eigenfunctions of the Electron Spin Operators . . . . . . . . . . . . . . . 738--742 Steven Weinberg Perturbation Theory for Strong Repulsive Potentials . . . . . . . . . . . . . . . 743--747 Amiram Ron Quantum Kinetic Equations for Electrons in a Periodic System . . . . . . . . . . 748--755 Harvey S. Leff Systematic Characterization of $m$th-Order Energy-Level Spacing Distributions . . . . . . . . . . . . . 756--762 Harvey S. Leff Class of Ensembles in the Statistical Theory of Energy-Level Spectra . . . . . 763--768 Toshio Soda Some Dynamical Properties of an Impurity in the Hard-Sphere Bose Gas . . . . . . 769--774 H. P. McKean Kramers--Wannier Duality for the $2$-Dimensional Ising Model as an Instance of Poisson's Summation Formula 775--776 P. Roman A Remarkable Connection Between Kemmer Algebras and Unitary Groups . . . . . . 777--783 Joseph Callaway Theory of Scattering in Solids . . . . . 783--798 A. Pais and Tai Tsun Wu Singular Potentials and Peratization. II 799--804 J. E. Burke Scattering of Surface Waves on an Infinitely Deep Fluid . . . . . . . . . 805--819 Yung Ming Chen Diffraction by a Smooth Transparent Object . . . . . . . . . . . . . . . . . 820--832 H. E. Moses Generalizations of the Jost Functions 833--840
J. L. Lebowitz and O. Penrose Convergence of Virial Expansions . . . . 841--847 Rudolf Haag and Daniel Kastler An Algebraic Approach to Quantum Field Theory . . . . . . . . . . . . . . . . . 848--861 V. Bargmann Note on Wigner's Theorem on Symmetry Operations . . . . . . . . . . . . . . . 862--868 David Korff Zero-Mass Representations of the Proper Inhomogeneous Lorentz Group . . . . . . 869--877 James McKenna and John R. Klauder Continuous-Representation Theory. IV. Structure of a Class of Function Spaces Arising from Quantum Mechanics . . . . . 878--896 D. C. Peaslee Uniqueness of $4$- and $8$-Dimensional Spaces . . . . . . . . . . . . . . . . . 897--899 C. R. Hagen Lower Bounds on the Lehmann Weights in Spin-Zero Meson Theory . . . . . . . . . 900--902 Melvin Schwartz Lagrangian and Hamiltonian Formalisms with Supplementary Conditions . . . . . 903--907 Arthur R. Swift and Benjamin W. Lee Singular Bethe--Salpeter Scattering Amplitudes . . . . . . . . . . . . . . . 908--921 A. Chakrabarti On the Canonical Relativistic Kinematics of $N$-Particle Systems . . . . . . . . 922--929 A. Lenard Momentum Distribution in the Ground State of the One-Dimensional System of Impenetrable Bosons . . . . . . . . . . 930--943 Michael E. Fisher Correlation Functions and the Critical Region of Simple Fluids . . . . . . . . 944--962 Donald Koppel On the Stability of Flow of a Thermally Stratified Fluid under the Action of Gravity . . . . . . . . . . . . . . . . 963--982 R. P. Gilbert Bergman's Integral Operator Method in Generalized Axially Symmetric Potential Theory . . . . . . . . . . . . . . . . . 983--997 Albert G. Petschek Fluctuations in Multiple Capture Processes . . . . . . . . . . . . . . . 998--999 Toshio Soda Errata: ``Excitation Spectrum of an Impurity in the Hard-Sphere Bose Gas'' 1000--1000
Jean-Louis Calais and Klaus Appel Inversion of Cyclic Matrices . . . . . . 1001--1008 John Stephenson Ising-Model Spin Correlations on the Triangular Lattice . . . . . . . . . . . 1009--1024 Alexander Grossmann Nested Hilbert Spaces in Quantum Mechanics. I . . . . . . . . . . . . . . 1025--1037 W. M. Fairbairn and T. Fulton and W. H. Klink Finite and Disconnected Subgroups of ${\rm SU}_3$ and their Application to the Elementary-Particle Spectrum . . . . 1038--1051 J. M. Shpiz On Pais's Charge Correlation Coefficients . . . . . . . . . . . . . . 1052--1052 M. Bolsterli Renormalization of Singlet Amplitude in Intermediate-Vector-Boson Theory of Weak Interactions . . . . . . . . . . . . . . 1053--1054 L. M. Delves Upper and Lower Bounds on Generalized Fourier Coefficients . . . . . . . . . . 1055--1060 L. M. Delves Upper and Lower Bounds on the Matrix Elements of an Arbitrary Bounded Operator . . . . . . . . . . . . . . . . 1061--1064 Joseph R. Cox Many-Channel Bargmann Potentials . . . . 1065--1069 Johan G. Belinfante Existence of Scattering Solutions for the Schrödinger Equation . . . . . . . . 1070--1074 Julius L. Jackson and Sam R. Coriell On Trapped Trajectories in Brownian Motion . . . . . . . . . . . . . . . . . 1075--1078 Hiroshi Ezawa The Representation of Canonical Variables as the Limit of Infinite Space Volume: The Case of the BCS Model . . . 1078--1090 Shigetoshi Katsura and Sakari Inawashiro Linear Heisenberg Model of Ferro- and Antiferromagnetism . . . . . . . . . . . 1091--1106 G. S. Rushbrooke On the Theory of Randomly Dilute Ising and Heisenberg Ferromagnetics . . . . . 1106--1116 M. F. Sykes and J. W. Essam Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions . . . . . . . . . . . . . . . 1117--1127 Harry Kesten On the Number of Self-Avoiding Walks. II 1128--1137 S. Sherman Product Property and Cluster Property Equivalence . . . . . . . . . . . . . . 1137--1139 R. Balescu and A. Kuszell Kinetic Equation for an Inhomogeneous Plasma far from Equilibrium . . . . . . 1140--1149 M. L. Glasser Note on the Evaluation of Some Fermi Integrals . . . . . . . . . . . . . . . 1150--1152 David S. Newman Equation of State for a Gas with a Weak, Long-Range Positive Potential . . . . . 1153--1157 Gaston Fischer Microwave Surface Impedance of a Periodic Medium . . . . . . . . . . . . 1158--1167 Farouk M. Odeh On the Integrodifferential Equations of the Nonlocal Theory of Superconductivity 1168--1182 Paul W. Schmidt Asymptotic Expansion of Certain Integrals Containing the Bessel Function $J_0(x)$ . . . . . . . . . . . . . . . . 1183--1184
Richard M. Spector Exact Solution of the Schrödinger Equation for Inverse Fourth-Power Potential . . . . . . . . . . . . . . . 1185--1189 Edward Nelson Interaction of Nonrelativistic Particles with a Quantized Scalar Field . . . . . 1190--1197 J. L. Lumley On Multiple-Valued Random Functions . . 1198--1203 John R. Klauder Linear Representation of Spinor Fields by Antisymmetric Tensors . . . . . . . . 1204--1214 Robert B. Griffiths A Proof that the Free Energy of a Spin System is Extensive . . . . . . . . . . 1215--1222 Irwin Manning A Theorem on the Determinantal Solution of the Fredholm Equation . . . . . . . . 1223--1225 J.-P. Antoine and D. Speiser Characters of Irreducible Representations of the Simple Groups. I. General Theory . . . . . . . . . . . . . 1226--1234 Levere Hostler Nonrelativistic Coulomb Green's Function in Momentum Space . . . . . . . . . . . 1235--1240 Charles R. Willis A Model of Interacting Radiation and Matter . . . . . . . . . . . . . . . . . 1241--1252 G. H. Derrick Comments on Nonlinear Wave Equations as Models for Elementary Particles . . . . 1252--1254 Yutze Chow On Some Topological Properties of Feynman Graphs and Their Application to Formulas Related to the Feynman Amplitudes . . . . . . . . . . . . . . . 1255--1260 Kalman Kalikstein and Larry Spruch Scattering of Electromagnetic Waves by a Ferrite in a Waveguide . . . . . . . . . 1261--1272 C. H. Su Kinetic Theory of a Weakly Coupled Gas 1273--1290 Edgar A. Kraut The Uniqueness of Weak Solutions of the One-Dimensional Scalar Analog to the Navier--Stokes Equation . . . . . . . . 1290--1292 Paul B. Bailey Exact Quantization Rules for the One-Dimensional Schrödinger Equation with Turning Points . . . . . . . . . . . . . 1293--1297 H. F. Tiersten Coupled Magnetomechanical Equations for Magnetically Saturated Insulators . . . 1298--1318 York-Peng Yao Quantization of Electrodynamics in the Axial Gauge . . . . . . . . . . . . . . 1319--1321 York-Peng Yao Spin and Statistics with an Electromagnetic Field . . . . . . . . . 1322--1326 Y. J. Seto and Arwin A. Dougal The Wave Equation and the Green's Dyadic for Bounded Magnetoplasmas . . . . . . . 1326--1334 C. R. Hagen and A. J. Macfarlane Triality Type and its Generalization in Unitary Symmetry Theories . . . . . . . 1335--1339 R. P. Kenschaft and R. D. Amado Solution of a Singular Integral Equation from Scattering Theory . . . . . . . . . 1340--1342 Sidney Coleman The Clebsch--Gordan Series for ${\rm SU}(3)$ . . . . . . . . . . . . . . . . 1343--1344
Thomas F. Jordan Lorentz Invariant Multichannel Scattering Formalism . . . . . . . . . . 1345--1360 B. Schroer The Concept of Nonlocalizable Fields and its Connection with Nonrenormalizable Field Theories . . . . . . . . . . . . . 1361--1367 Olof Brulin and Stig Hjalmars The Graviton as a Spin-2 Particle . . . 1368--1370 Steven Weinberg The Hose Instability Dispersion Relation 1371--1386 Graziella Bardotti and Bruno Bertotti and Laura Gianolio Magnetic Configuration of a Cylinder with Infinite Conductivity . . . . . . . 1387--1390 M. Andrews and J. Gunson Complex Angular Momenta and Many-Particle States. I. Properties of Local Representations of the Rotation Group . . . . . . . . . . . . . . . . . 1391--1400 Tohru Morita Statistical Mechanics of Quenched Solid Solutions with Application to Magnetically Dilute Alloys . . . . . . . 1401--1405 Y. S. Jin and A. Martin Remarks on the Polynomial Boundedness in the Mandelstam Representation . . . . . 1406--1412 J. G. Fikioris and P. C. Waterman Multiple Scattering of Waves. II. ``Hole Corrections'' in the Scalar Case . . . . 1413--1420 Attia A. Ashour An Integral Equation for the Associated Legendre Function of the First Kind . . 1421--1423 Saul Silven Application of Operational Methods to the Analysis of the Motion of Rigid Bodies . . . . . . . . . . . . . . . . . 1424--1426 Myron Bander An Iterative Solution of the $N / D$ Equation . . . . . . . . . . . . . . . . 1427--1430 R. Penney Duality Invariance and Riemannian Geometry . . . . . . . . . . . . . . . . 1431--1437 J. S. Lomont and H. E. Moses Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis: Derivation for the Cases of Nonzero Mass and Zero Mass, Discrete Spin . . . . . . . . . . . . . . . . . . 1438--1457 Noboru Nakanishi Fundamental Properties of Perturbation-Theoretical Integral Representations. III . . . . . . . . . . 1458--1473 Kenneth D. Granzow $N$-Dimensional Total Orbital Angular-Momentum Operator. II. Explicit Representations . . . . . . . . . . . . 1474--1477 Harold Falk Inequalities Relating the Nearest-Neighbor Spin Correlation and the Magnetization for the Heisenberg Hamiltonian . . . . . . . . . . . . . . 1478--1480
Ivan J. Muzinich Crossing Matrices for Helicity Amplitudes, Application to Crossed Channel Partial-Wave Analysis, and Reggeization . . . . . . . . . . . . . . 1481--1490 J. C. Polkinghorne Asymptotic Behavior of Feynman Integrals with Spin . . . . . . . . . . . . . . . 1491--1498 Farouk Odeh and Joseph B. Keller Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals . . . . . . . . . . . . . . . . 1499--1504 Mervine Rosen and Donald R. Yennie A Modified WKB Approximation for Phase Shifts . . . . . . . . . . . . . . . . . 1505--1515 Martin A. Leibowitz Particle Moderation: Random Functional Approach . . . . . . . . . . . . . . . . 1516--1526 Robert L. Bowden and Clayton D. Williams Solution of the Initial-Value Transport Problem for Monoenergetic Neutrons in Slab Geometry . . . . . . . . . . . . . 1527--1540 Yung Ming Chen On Scattering of Waves by Objects Imbedded in Random Media: Stochastic Linear Partial Differential Equations and Scattering of Waves by Conducting Sphere Imbedded in Random Media . . . . 1541--1546 Peter J. Redmond Some Remarks Concerning a Pathological Matrix of Interest in the Inverse-Scattering Problem . . . . . . . 1547--1554 George L. Montet The Effective Resistance of Passive Networks . . . . . . . . . . . . . . . . 1555--1559 J.-P. Antoine and D. Speiser Characters of Irreducible Representations of the Simple Groups. II. Application to Classical Groups . . 1560--1572 N. Hashitsume and S. Fujita Kinetic Approach to Thermal Transport Phenomena. I. Classical Theory . . . . . 1572--1579 R. F. Snider Perturbation Variation Methods for a Quantum Boltzmann Equation . . . . . . . 1580--1587 W. C. Davidon and H. Ekstein Observables in Relativistic Quantum Mechanics . . . . . . . . . . . . . . . 1588--1594 R. L. Gluckstern and Shin-R Lin Relativistic Coulomb Scattering of Electrons . . . . . . . . . . . . . . . 1594--1602 Elihu Lubkin Possible Relationship between Electric Charge and Dual Charge . . . . . . . . . 1603--1606 Julian Schwinger Coulomb Green's Function . . . . . . . . 1606--1608 Matts Roos On the Construction of a Unitary Matrix with Elements of Given Moduli . . . . . 1609--1611 G. F. Smith On the Generation of Anisotropic Tensors 1612--1614 Arnold D. Levine Lagrangian Formulation of the Phonon Field Equations . . . . . . . . . . . . 1615--1618 N. C. Mathur and K. C. Yeh Multiple Scattering of Electromagnetic Waves by Random Scatterers of Finite Size . . . . . . . . . . . . . . . . . . 1619--1628 Frank B. Estabrook and Hugo D. Wahlquist Dyadic Analysis of Space-Time Congruences . . . . . . . . . . . . . . 1629--1644 D. M. Fradkin and C. L. Hammer and T. A. Weber Scattering Wavefunctions for a Dirac Particle in a Central Potential . . . . 1645--1651 A. O. Barut Complex Lorentz Group with a Real Metric: Group Structure . . . . . . . . 1652--1656 R. Penney Algebra of Dirac Bilinears . . . . . . . 1657--1658 Thomas A. Morgan Two Classes of New Conservation Laws for the Electromagnetic Field and for Other Massless Fields . . . . . . . . . . . . 1659--1660
Burt V. Bronk Theorem Relating the Eigenvalue Density for Random Matrices to the Zeros of the Classical Polynomials . . . . . . . . . 1661--1663 H. C. Corben If Microns Were Fermis . . . . . . . . . 1664--1668 K. S. H. Lee and C. H. Papas Electromagnetic Radiation in the Presence of Moving Simple Media . . . . 1668--1672 J. A. Morrison and H. L. Frisch High-Field Magnetoresistance of Inhomogeneous Semiconductors and Plasmas. II. Two-Dimensional Inhomogeneity Distributions . . . . . . 1672--1681 J. A. Morrison and H. L. Frisch High-Field Magnetoresistance of Inhomogeneous Semiconductors and Plasmas. III. Two-Dimensional Inhomogeneity Distributions . . . . . . 1681--1687 C. Isenberg Numerical Method for the Exact Expansion of Generating Functions . . . . . . . . 1687--1691 Morton D. Kostin and Harvey Brooks Generalization of the Variational Method of Kahan, Rideau, and Roussopoulos and Its Application to Neutron Transport Theory . . . . . . . . . . . . . . . . . 1691--1700 Ching-Sheng Wu Useful Operator in Plasma Kinetic Theory 1701--1712 Jan Tarski Representation of Fields in a Two-Dimensional Model Theory . . . . . . 1713--1722 G. E. Baird and L. C. Biedenharn On the Representations of the Semisimple Lie Groups. III. The Explicit Conjugation Operation for ${\rm SU}_n$ 1723--1730 G. E. Baird and L. C. Biedenharn On the Representations of the Semisimple Lie Groups. IV. A Canonical Classification for Tensor Operators in ${\rm SU}_3$ . . . . . . . . . . . . . . 1730--1747 A. Chakrabarti Applications of the Lorentz Transformation Properties of Canonical Spin Tensors . . . . . . . . . . . . . . 1747--1755 Claude Garrod and Jerome K. Percus Reduction of the $N$-Particle Variational Problem . . . . . . . . . . 1756--1776 K. M. Mitzner Effect of Small Irregularities on Electromagnetic Scattering from an Interface of Arbitrary Shape . . . . . . 1776--1786 Wolfgang Börsch-Supan Comparison of Two Methods for Lower Bounds to Eigenvalues . . . . . . . . . 1787--1788 David Montgomery Generalized Perturbation Expansion for the Klein--Gordon Equation with a Small Nonlinearity . . . . . . . . . . . . . . 1788--1795 B. Gruber and L. O'Raifeartaigh $S$ Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras . . . . . . . . . . . . . . . . 1796--1804 M. R. Mendelson and G. C. Summerfield Addendum: ``One-Speed Neutron Transport in Two Adjacent Half-Spaces'' . . . . . 1804--1804
J. S. Lomont and H. E. Moses Errata: ``The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis'' . . . . . . 670--670 J. S. Lomont and H. E. Moses Errata: ``Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis: Derivation for the Cases of Nonzero Mass and Zero Mass, Discrete Spin'' . . . . . . . . . 670--670
Matts Roos Erratum: ``On the Construction of a Unitary Matrix with Elements of Given Moduli'' . . . . . . . . . . . . . . . . 1354--1354 Saul Silven Errata: ``Application of Operational Methods to The Analysis of Uniform Plasmas'' . . . . . . . . . . . . . . . 1354--1354
Sidney Coleman Erratum: ``The Clebsch--Gordan Series for ${\rm SU}(3)$'' . . . . . . . . . . 2014--2014
M. L. Glasser Erratum: ``Note on the Evaluation of Some Fermi Integrals'' . . . . . . . . . 1340--1340
C. Yeh and C. S. Kim Erratum: ``The diffraction of waves by a penetrable ribbon'', [J. Math. Phys. \bf 4 (1963), 65--71; MR \bf 26 #1023] by Yeh . . . . . . . . . . . . . . . . . . 721--722