Symmetries in Science V: Algebraic Systems, Their Representations, Realizations, and Physical Applications

Symmetries in Science V: Algebraic Systems, Their Representations, Realizations, and Physical Applications

Paperback(Softcover reprint of the original 1st ed. 1991)

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Overview

Symmetries in Science V: Algebraic Systems, Their Representations, Realizations, and Physical Applications by Bruno Gruber

Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990

Product Details

ISBN-13: 9781461366430
Publisher: Springer US
Publication date: 10/18/2012
Edition description: Softcover reprint of the original 1st ed. 1991
Pages: 613
Product dimensions: 7.01(w) x 10.00(h) x 0.05(d)

Table of Contents

Dynamical Symmetries of Relativistic Two — and Many Body Systems.- Algebraic Treatment of Multistep Processes in Electron-Molecule Scattering.- Symmetry, Constitutive Laws of Bounded Smoothly Deformable Media and Neumann Problems.- Imitation of Symmetries in Local Quantum Field Theory.- Representations of Quantum Groups.- Algebras and Symmetries — Quantum Mechanical Symmetry Breaking.- q-Analysis and Quantum Groups.- Orthogonal Polynomials and Coherent States.- Algebraic Model for Molecular Electronic Spectra.- Highest Weight Unitary Modules for Non-Compact Groups and Applications to Physical Problems.- Scattering Theory and the Group Representation Matrix.- Predicting “Anyons”: The Origins of Fractional Statistics in Two-Dimensional Space.- The Role of Parabose-Statistics in Making Abstract Quantum Theory Concrete.- On Quantized Verma Modules.- The Role of Spectrum Generating Algebras and Dynamic Symmetries in Molecular Physics.- O(4) Symmetry and Angular Momentum Theory in Four Dimensions.- Representations of the Quantum Algebras Uq(su(2)) and Uq(su(1, 1)).- From “Quantum Groups” to “Quasi-Quantum Groups”.- Symmetries of Icosahedral Quasicrystals.- Molecular Symmetry Adapted Bases in the Born-Oppenheimer Approximation.- On Certain Submodules of the Enveloping Fields.- Invariants and States Generating Symmetry of Nonstationary Systems.- Origins of Nuclear and Hadron Symmetries.- Projection Operator Method and Q-Analog of Angular Momentum Theory.- Symmetry Breaking and Fractional Quantization of Quantum Systems.- New Phases of D ? 2 Current and Diffeomorphism Algebras in Particle Physics.- Algebra and Geometry in the Theory of Mixed States.- Group Structures and the Interacting Boson Approximation for Nuclei.- Paradigms of Quantum Algebras.

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