Symmetries in Science VIII

ISBN-13: 9781461357834 / Angielski / Miękka / 2012 / 465 str.

Bruno Gruber

Opis

Thf3 symposium "Symmetries in Science VIII" was held in August of 1994 at the Cloister Mehrerau in Bregenz, Austria. The symposium was supported by Southern Illinois University at Carbondale, the Land Vorarlberg, and the Landeshaupstaot Bregenz. I wish to thank Dr. John C. Guyon, President of Southern Illinois University at Carbondale; Dr. Hubert Regner, Amt der Vorarlberger Landesregierung; and Dipl. Vw. Siegfried Gasser, Buergermeister der Landeshauptstadt Bregenz and Lantagsabgeordneter, for their generous support of the symposium. Finally I wish to thank Frater Albin of the Cloister Mehrerau for his support and cooperation in this endeavor, which made for a successful meeting in a most pleasant environment. Bruno Gruber v CONTENTS On Om x Gin Highest Weight Vectors Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Invariant Theory of Matrices Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 3 Symmetries of Elementary Particles Revisited A. O. Barut . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Perturbative SU(1,1) Haluk Seker . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ., . . . . . . . . . ., . . . . . . . . . . . . . . . . . . . . . . ., . . . . . . . . . . . . . . . . . . . . 25 A Dual Structure for the Quantal Rotation Group, SU(2) L. C. Biedenharn and M. A. Lohe . . . . . . . . . . . . ., . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems A. Del Sol Mesa and R, P. Martinez y Romero . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ., . . . . . 49 for Uq(sl(4)) and q-Conformal q-Difference Intertwining Operators I nvariant Equations V. K. Dobrev . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics H. -D. Doebner and J. D. Hennig . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 vii Quantum Mechanical Motions over the Group Manifolds and Related Potentials I. H. Duru -. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Spis treści

Invariant Theory of Matrices; H. Aslaksen, et al. Symmetries of Elementary Particles Revisited; A.O. Barut. Perturbative SU(1,1); H. Beker. A Dual Structure for the Quantal Rotation Group, SU(2); L.C. Biedenharn, M.A. Lohe. Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems; A. Del Sol Mesa, R.P. Martinez y Romero. q-Difference Intertwining Operators for Uq(sI(4)) and q-Conformal Invariant Equations; V.K. Dobrev. A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics; H.D. Doebner, J.D. Hennig. Quantum Mechanical Motions over the Group Manifolds and Related Potentials; I.H. Duru. Quantum Violation of Weak Equivalence Principal in the Brans-Dicke Theory; Y. Fujii. Quantum Unitary and Pseudounitary Groups and Generalized Hadron Mass Relations; A.M. Gavrilik. Linear Coxeter Groups; J. Getino. Diffeomorphism Groups, Quasiinvariant Measures, and Infinite Quantum Systems; G.A. Goldin, U. Moschella. Algebraic Shells and the Interacting Boson Model of the Nucleus; B. Gruber. Recent Developments in the Application of Vector Coherent States; K.T. Hecht. Algebraic Theory of the Threebody Problem; F. Iachello. 18 additional articles. Index.