Symmetries in Science

ISBN-13: 9781468438352 / Angielski / Miękka / 2012 / 495 str.

Bruno Gruber

Opis

Southern Illinois University at Carbondale undertook to honor Albert Einstein as scientist and as humanitarian in commemo ration of his lOOth birthday during an "Albert Einstein Centennial Week," February 23 - March 2, 1979. During the course of this week two Symposia were held, entitled "Symmetries in Science" and "Einstein: Humanities Conscience," in addition to cultural and social activities honoring Einstein. This volume presents the Symposium "Symmetries in Science." It reflects the outstanding response that was given to our "Albert Einstein Centennial Week" by the international community of scientists. The motivation to have a celebration honoring Albert Einstein at Southern Illinois University at Carbondale was supplied by Dr. Paul A. Schilpp, the editor of the "Library of Living Philo sophers." Albert Einstein has contributed to this series with his autobiographical notes, a kind of autobiography of his scientific life, in a volume entitled "Einstein: Scientist-Philosopher," the most popular among all the outstanding volumes of this series. Dr. Paul A. Schilpp's presence at Southern Illinois University at Carbondale provided a natural link for an Einstein Celebration as a kind of a continuation of the contribution he made to mankind through the Einstein volume of his "Library of Living Philosophers.""

Spis treści

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.