Group Theoretical Methods in Physics

✍ Scribed by Robert Shar (Eds.)

• Publisher: Academic Press
• Year: 1977
• Tongue: English
• Leaves: 641
• Category: Library

✦ Table of Contents

Content:
Organizing Committee, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages xi-xiv
Preface, Pages xv-xvi
CANONICAL TRANSFORMATIONS AND SPECTRUM GENERATING ALGEBRAS IN THE THEORY OF NUCLEAR COLLECTIVE MOTION, Pages 3-8, P. Gulshani, G. Rosensteel, D.J. Rowe
MODULATED SPACE GROUPS, Pages 9-30, A. Janner
PROPERTIES OF LATTICES ASSOCIATED WITH A MODULATED CRYSTAL, Pages 31-38, A. Janner, T. Janssen
A HAMILTONIAN APPROACH TO THE KdV AND OTHER EQUATIONS, Pages 39-57, Peter D. Lax
USE OF AN ELEMENTARY GROUP THEORETICAL METHOD IN DETERMINING THE STRUCTURE OF A BIOLOGICAL CRYSTAL FROM ITS PATTERSON FUNCTION, Pages 59-74, D.B. Litvin
INVARIANTS POLYNOMIAUX DES GROUPES DE SYMETRIE MOLECULAIRE ET CRISTALLOGRAPHIQUE, Pages 75-91, Louis Michel
METACRYSTALLOGRAPHIC GROUPS, Pages 93-113, W. Opechowski
THE SP(3,IR) MODEL OF NUCLEAR COLLECTIVE MOTION, Pages 115-133, G. Rosensteel, D.J. Rowe
A GROUP THEORETIC DESCRIPTION OF THE MAGNETIC PHASE TRANSITIONS IN THE AB₂O₄-TYPE SPINELS, Pages 135-146, Alfred K. Agyei, Joseph L. Birman
APPLICATIONS OF CRYSTAL CLEBSCH-GORDAN COEFFICIENTS, Pages 147-154, Rhoda Berenson, Joseph L. Birman
ON THE USE OF THE SO(4,2) DYNAMICAL GROUP FOR THE STUDY OF THE GROUND STATE OF A HYDROGEN ATOM IN A HOMOGENEOUS MAGNETIC FIELD, Pages 155-160, J. Čížek, E.R. Vrscay
GROUP THEORY AROUND LIGAND FIELD THEORY, Pages 161-172, Maurice R. Kibler
FINITE REPRESENTATIONS OF THE UNITARY GROUP AND THEIR APPLICATIONS IM MANY-BODY PHYSICS, Pages 173-179, P. Kramer
ALGEBRAIC AND GEOMETRIC METHODS OF QUANTISATION OF THE ISOTROPIC HARMONIC OSCILLATOR, Pages 181-196, Maria Lasocka, Jan Olszewski
THE ISING ALGEBRA, Pages 197-202, A.I. Solomon
THE GROUP AND THE HYDROGEN ATOM, Pages 203-210, J. Yadegar
SPONTANEOUS BREAKING OF EXCEPTIONAL GROUPS, Pages 213-230, Feza Gürsey
COMPLEX SPACE-TIMES WITH NULL STRINGS, Pages 231-240, Jerzy F. Plebanski, Ivor Robinson
INTELLIGENT SPIN STATES AND HEISENBERG EQUALITY, Pages 241-248, C. Aragone, E. Chalbaud, S. Salamó
SOME ASPECTS OF GRADED LIE ALGEBRAS, Pages 249-254, Nigel Backhouse
U(n,n) AND GENERALIZED TWISTORS, Pages 255-260, H. Bacry
SOME COMMENTS ON SYMPLECTIC STRUCTURES IN COMPLEX RIEMANNIAN GEOMETRY, Pages 261-265, Charles P. Boyer
COHERENT STATES ON THE CONFORMAL GROUP AND POSITION OPERATOR, Pages 267-275, Zbigniew Haba
GAUGE THEORY OF THE CONFORMAL GROUP, Pages 277-301, J.P. Harnad, R.B. Pettitt
THEORY OF COHERENT QUARKS. ON THE DYNAMICAL ORIGIN OF THE OKUBO-ZWEIG-IIZUKA RULE, Pages 303-311, M. Hongoh
RELATIVISTIC COHERENT-STATE REPRESENTATIONS, Pages 313-319, Gerald Kaiser
GAUGE FIELDS OVER THE SUPER-SYMMETRY SPACE, Pages 321-328, Richard Kerner
ON SUPERSYMMETRY AND THE HOPE FOR A NON-TRIVIAL FUSION BETWEEN INTERNAL AND SPACE-TIME SYMMETRIES, Pages 329-335, C.N. Ktorides
PHYSICS AND LIE PSEUDOGROUPS, Pages 337-345, J.F. Pommaret
CLASSICAL FUNCTIONS ASSOCIATED WITH SOME GROUPS OF AUTOMORPHISMS OF THE WEYL GROUP, Pages 349-359, Ph. Combe, R. Rodriguez, M. Sirugue-Collin, M. Sirugue
CYCLIC GROUPS AND ADAPTATION IN THE VISUAL SYSTEM OF THE CAT, Pages 361-370, Allan A. Harkavy
GEOMETRICAL MECHANICS AND DIRAC BRACKET, Pages 371-378, Kishore B. Marathe
OTHER SYMMETRIES AND CONSTANTS OF THE MOTION, Pages 379-384, G. Marmo, E.J. Saletan
Q-SYMMETRIES AND EQUIVALENT LAGRANGIANS, Pages 385-391, G. Marmo, E.J. Saletan
KINEMATICAL SYMMETRIES OF THE NAVIER-STOKES EQUATION, Pages 393-402, U. Niederer
NORMAL MODES OF NONLINEAR DISCRETE SYMMETRIC SYSTEMS BY GROUP REPRESENTATION THEORY, Pages 403-415, M.C. Singh, A.K. Mishra
THE CONCEPT OF A KINEMATICAL STABILITY GROUP IN IMPLEMENTING RELATIVISTIC SYMMETRY, Pages 419-431, L.C. Biedenharn, H. van Dam
CAUSALITY AND SYMMETRY IN COSMOLOGY AND THE CONFORMAL GROUP, Pages 433-447, I.E. Segal
THOMAS-BARGMANN-MICHEL-TELEGDI EQUATION FOR WIGNER PARTICLES, Pages 449-453, H. Bacry
GENERATEURS DU GROUPE DE POINCARE ASSOCIES AUX REPRESENTATIONS IRREDUCTIBLES UNITAIRES DU GENRE ESPACE, Pages 455-461, J. Beckers, M. Jaspers
ON THE STRUCTURE OF 4-VECTOR OPERATORS, WITH AN APPLICATION TO THE POINT FORM OF RELATIVISTIC DYNAMICS, Pages 463-470, A.J. Bracken
ON THE LOCALIZABILITY OF MASSLESS PARTICLES, Pages 471-478, G. Burdet, M. Perrin
ON THE EXISTENCE OF CHARGES AND MASS-SPLITTING IN RELATIVISTIC QUANTUM FIELD THEORY, Pages 479-484, E. Gal-Ezer, L.P. Horwitz
PARTICLES, MASS SPECTRA AND INTERFERENCE IN RELATIVISTIC QUANTUM THEORY, Pages 485-491, L.P. Horwitz, Y. Rabin
SU(4) BREAKING AND THE NEW PARTICLES: SOME APPLICATIONS, Pages 493-500, Paul Sorba
ON A GROUP THEORETIC TREATMENT OF THE NUMBER OPERATOR OF PARTICLES, Pages 501-506, Aleksander Strasburger, Igor Szczyrba
POINCARÉ GROUP AND MAGNETIC CHARGE, Pages 507-514, D. Villarroel
SOLVABILITY QUESTIONS FOR INVARIANT DIFFERENTIAL OPERATORS, Pages 517-527, Sigurdur Helgason
SYMMETRY AND SEPARATION OF VARIABLES FOR LINEAR PARTIAL DIFFERENTIAL AND HAMILTON-JACOBI EQUATIONS, Pages 529-548, Willard Miller Jr.
SUBGROUPS OF LIE GROUPS AND SYMMETRY BREAKING, Pages 549-572, P. Winternitz
CONFORMAL HARMONIC ANALYSIS AND INTERTWINING DIFFERENTIAL OPERATORS, Pages 573-576, H.P. Jakobsen
GROUP THEORETIC ASPECTS OF CONSERVATION LAWS OF NONLINEAR TIME EVOLUTION EQUATIONS: THE KdV EQUATION AND THE CUBIC SCHRODINGER EQUATION, Pages 577-584, Sukeyuki Kumei
APPLICATION OF GROUP THEORETIC METHODS IN BIFURCATION THEORY, Pages 585-589, D.H. Sattinger
HARMONIC ANALYSIS ON DOUBLE CLASSES, Pages 591-598, T.H. Seligman, K.B. Wolf
INDUCED PROJECTIVE REPRESENTATIONS, Pages 601-608, R. Dirl
UNE IDENTITÉ DU BINÔME ET LES REPRÉSENTATIONS LINÉAIRES FINIES DE M_p(K) ET GL(p,K), Pages 609-616, J.P. Gazeau
DOUBLE CLASSES: A NEW CLASSIFICATION SCHEME FOR GROUP ELEMENTS, Pages 617-622, W. Hässelbarth, E. Ruch, D.J. Klein, T.H. Seligman
A CHARACTERIZATION OF THE STANDARD POLYNOMIAL OF EVEN DEGREE, Pages 623-626, Yehiel Ilamed
A GENERALIZATION OF THE “ASSOCIATIVE” PROPERTY OF THE KILLING FORM, Pages 627-630, Yehiel Ilamed
HIGHEST WEIGHTS OF SEMISIMPLE LIE ALGEBRAS, Pages 631-641, W. Laskar
PROJECTIVE IRREDUCIBLE UNITARY REPRESENTATIONS OF THE SCHRODINGER GROUP WITH A NONTRIVIAL FACTOR, Pages 643-647, M. Perroud
REPRESENTATION OF THE RACAH COEFFICIENT AS A GENERALIZED HYPERGEOMETRIC FUNCTION, Pages 649-656, K. Srinivasa Rao, K. Venkatesh
POLYNÔMES INVARIANTS D'UN CERTAIN GROUPE DE TRANSFORMATIONS LINÉAIRES, Pages 657-660, Ghislain Roy
THE CLEBSCH-GORDAN DECOMPOSITION AND THE COEFFICIENTS FOR THE SYMMETRIC GROUP, Pages 661-668, Susan Schindler, R. Mirman