Symmetries in Science

Symmetries in Science

by Bruno Gruber

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Basic Books
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Table of Contents

Why We Believe in the Einstein Theory.- The Role and Value of the Symmetry Principles and Einstein’s Contribution to Their Recognition.- Statistical Concepts in Einstein’s Physics.- What Are the True Building Blocks of Matter.- Classification of Wigner Operators by a New Type of Weight Space Diagram.- De Sitter Fibers and SO(3,2) Spectrum Generating Group for Hadrons.- The Wigner-Racah Algebra for Finite and Compact Continuous Groups.- Applications of Coherent States in Thermodynamics and Dynamics.- The Application of Imbedding Theory to the Atomic Shell Model.- Group Theory in Atomic and Molecular Physics.- New Approach to Matrix Elements and Clebsch-Gordan Coefficients for Compact and Non-Compact Groups.- Group Theory and the Interaction of Composite Nucleon Systems.- Time Reversal in Dissipative Systems.- Life Groups, Quantum Mechanics, Many-Body Theory and Organic Chemistry.- Symmetry and Variable Separation for the Helmholtz, Wave and Hamilton-Jacobi Equations.- Review of the Group Theory behind the Interacting Boson Model of the Nucleus.- Remarks on the Algebraic Structure of Spontaneous Symmetry Breaking in Unified Gauge Theories.- Symmetry Breaking and Far-From-Equilibrium Order.- Finite Subgroups of the Lorentz Group and Their Generating Functions.- On Dynamical Symmetries in Relativistic Field Theories.- On the Generalisation of the Gell-Mann-Nishijima Relation.- Relativistic Dynamical Groups in Quantum Theory and Some Possible Applications.- Generalized Coherent States.- Spontaneous Symmetry Breaking in Bifurcation Problems.- Time, Energy, Relativity, and Cosmology.- Projection Operators for Semisimple Compact Lie Groups and Their Applications.- Orders in Nature: From Quantum to Classical.- Systematic Methods for Determining the Continuous Transformation Groups Admitted by Differential Equations.- Symmetry Breaking in Embryology and in Neurobiology.- On Global Properties of Quantum Systems.- Invited Speakers and Invited Participants.

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