Symmetries in Science VIII

Herausgegeben von Gruber, Bruno

• Broschiertes Buch

Produktbeschreibung

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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Produktdetails

• Verlag: Springer / Springer US / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4613-5783-4
• Softcover reprint of the original 1st ed. 1995
• Seitenzahl: 480
• Erscheinungstermin: 21. Oktober 2012
• Englisch
• Abmessung: 254mm x 178mm x 26mm
• Gewicht: 895g
• ISBN-13: 9781461357834
• ISBN-10: 1461357837
• Artikelnr.: 37481237

Inhaltsangabe

On Om × GIn Highest Weight Vectors.- Invariant Theory of Matrices.- Symmetries of Elementary Particles Revisited.- Perturbative SU(1,1).- A Dual Structure for the Quantal Rotation Group, SU(2).- Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems.- q-Difference Intertwining Operators for Uq(sl(4)) and q-Conformal Invariant Equations.- A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics.- Quantum Mechanical Motions over the Group Manifolds and Related Potentials.- Quantum Violation of Weak Equivalence Principal in the Brans-Dicke Theory.- Quantum Unitary and Pseudounitary Groups and Generalized Hadron Mass Relations.- Linear Coxeter Groups.- Diffeomorphism Groups, Quasi-Invariant Measures, and Infinite Quantum Systems.- Algebraic Shells and the Interacting Boson Model of the Nucleus.- Recent Developments in the Application of Vector Coherent States.- Algebraic Theory of the Three-Body Problem.- Quantum Effect of Nonlinear Born-Infeld Field.- Some Aspects of q-and qp-Boson Calculus.- Quarks and Partons as Two Different Manifestations of One Covariant Entity.- Spectra and Eigenfunctions of Representation Operators for Quantum Groups and q-Oscillators.- Geometry of Automorphisms for Free Groups.- Quantum Central Limit Theorems.- Non-Euclidean Cristallography.- Different Bases of ?-Deformed Poincare Algebra.- q-Nonlinearity, Deformations and Planck Distribution.- Hidden Symmetries, Symmetry Breaking and Emergence of Complexity.- Meyer Sets and the Finite Generation of Quasicrystals.- A Topological Study of Induced Representations.- Hamiltonian Structure of Multicomponent KdV Equations.- Irreducible Representations of Fundamental Algebra for Quantum Mechanics on SD and Gauge Structures.- The Birth ofGauge Theory.- Algebraic Approach to the Hypercoulomb Problem.- Confrontation of Supersymmetry in Elementary Particles and Nuclear Physics.