Ebook: Symmetries in Science II

The Symposium "Symmetries in Science II" was held at Southern Illinois University, Carbondale, during the period March 24-26, 1986, following the Einstein Centennial Symposium "Symmetries in Science" after a lapse of seven years. As it was the case for the original Symposium, the 1986 Symposium was truly interdisciplinary and truly international. I wish to thank all participants who made the. effort to come to Carbondale, Illinois, from allover the world. At this point I also wish to express my sincere thanks to Dr. Albert Somit, President of Southern Illinois University at Carbondale, and Dr. John C. Guyon, Vice President for Academic Affairs and Research at Southern Illinois University at Carbondale. Their generous support and encouragement was instrumental in getting the Symposium organized. In addition I wish to thank Associate Vice President Charles B. Klasek, Dr. Russell R. Dutcher, Dean of the College of Science, John H. Yopp, Associate Dean, College of Science, Dr. Subir K. Bose, Chairman of the Physics Department, Dr. James Tyrrell, Chairman of the Chemistry Department, Dr. Jared H. Dorn, Director of International Programs and Services, Dr. Rhonda Jo Vinson, Director of International and Economic Development, Dr. Tommy T. Dunagan, Vice President of Sigma Xi at Southern Illinois University, Dr. George Garoian, Professor of Zoology, Dr. Ann Phillippi, Assistant Professor of Zoology and Dr. Linda R. Gannon, Coordinator of Women's Studies, for their support and assistance.

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The Mysterious World of Symmetry in Physics.- De Sitter Structured Connection and Gauge Translations.- The Algebraic Approach to Scattering and the “Euclidean Connection”.- Symmetry and Dynamics. Two Distinct Methodologies from Kepler to Supersymmetry.- Topological Concepts in Nuclear Physics: The Deuteron as a BI-Skyrmion.- QCD and Nuclear Structure.- Quantum Mechanics and Spectrum Generating Groups and Supergroups.- Symmetries in Heavy Nuclei and the Proton-Neutron Interaction.- Time Symmetry and the Theory of Measurement.- Symmetry and Topology of the Configuration Space and Quantization.- Algebraic Realization of the Rotor.- Special Functions and Representations of su(2).- The FDS (Fermion Dynamical Symmetry) Model, Nuclear Shell Model and Collective Nuclear Structure Physics.- Dynamical Supersymmetric Dirac Hamiltonians.- Finite Dimensional Indecomposable Representations of the Poincaré Algebra.- On the Behaviour of Solutions of the Laplace-Beltrami Equations.- Algebraic Structures of Degenerate Systems, Physical Requirements and the Indefinite Metric.- Broken Symmetry and the Accelerated Observer.- Quantum Theory of the Free Electromagnetic Field.- Dynamic Symmetries in Scattering.- Factorization-Algebraization-Path Integration and Dynamical Groups.- Classification of Operators in Atomic Spectroscopy by Lie Groups.- An Introduction to Squeezed States.- On Geometry of Phenomenological Thermodynamics.- On Projections of Spinor Spaces onto Minkowski Space.- s.d.g. IBM and the Embedding Method.- Are the Dirac Strings Harmless?.- Physical Models on Discrete Space and Time.- The Many Symmetries of Hubbard Alternant Polyenes.- Symmetries and Polarization.- Boson Realization of Symplectic Algebras and the Matrix Representation of Their Generators.- Integral Transforms on Homogeneous Spaces of the De Sitter and Conformal Groups.- Vector-Scalar Version of the Dirac Lagrangian.- Double Covering of Diffeomorphisms for Superstrings in Generic Curved Space.- Systems, Subsystems and Induced Representations.- Symmetry Between Bosons and Fermions.- General Dynkin Indices and Their Applications.- Group Theoretical Approaches to Many-Electron Correlation Problem.- On the Representations of the Basic Lie Superalgebras: Gel’fand Zetlin Basis for sl(l,n).- The Use of Symmetry in Molecular Ab-Initio SCF Calculations.- “Clifford Algebraic Symmetries in Physics”.- Squeezed States and Quadratic Hamiltonians: A Wigner Distribution Approach.- Light and Group Theory.- Symmetry-Adaptation and Selection Rules for Effective Crystal Field Hamiltonians.- Symmetry-Breaking in Biological Cells.- A Non-Equilibrium Theory for Phase Transitions and the Expanding Universe.- Symmetries and Special Functions.- Observable Manifestations of Invariance in Condensed Matter and Biological Systems.- Relativistic Scattering of Composite Particles.- Empirical Evidences for Fermion Dynamical Symmetries in Nuclei.- SO(2? + 1) ? ? ? SOL (3) in Group Chains for L-S Coupling.- The Supersymmetry of the Dirac-Yang-Mills Operator and Some Applications.