Accession Number : ADA263542


Title :   Classical and Quantum Systems Foundations and Symmetries, Proceedings of the International Wigner Symposium Held in Goslar, Germany on July 16-20, 1991


Corporate Author : FLORIDA ATLANTIC UNIV BOCA RATON COLL OF SCIENCE


Personal Author(s) : Doebner, H D ; Scherer, W ; Schroeck, Jr, F


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a263542.pdf


Report Date : 20 Jul 1991


Pagination or Media Count : 814


Abstract : The Wigner Symposia series emerged from an International Symposium On SpaceTime Symmetries, held in College Park, Maryland, 1988 organized by Y.S. Kim and W. Zachary and commemorating the 50'th anniversary of Wigner's fundamental paper On the Unitary Representation of the Inhomogenous Lorentz Group. That symposium covered various areas of physics, of theoretical and mathematical physics to which Eugene Paul Wigner has contributed. It has shown how new and fruitful ideas connected with symmetries for a mathematical modeling of complex physical systems developed under the influence of Wigners work. Following the idea of the symposia to discuss new developments in physics centered around fundamental questions topics with emphasis on theoretical and mathematical physics were chosen and new frontiers like neuronal networks and quantum holography, whose origins can be traced back to Wigner's work, where included. The aim was to show the unity of different parts in physics and to demonstrate the power of arguments which are directly or indirectly related with mathematical realizations of symmetries. (1) Foundations of Quantum Mechanics; (2) General group Theoretical and Quantization Methods; (3) Coherent States; (4) Berry Phases; (5) Phases Space and Wigner Distributions; (6) Applications of Quantum Mechanics From Channel Space to Wigner Crystal; (7) Quantum Fields and Particles; (8) C-Algebraic and Methods; (9) Differential Geometric Methods: and (10) Nonlinear Partial Differential Equations, Dynamical Systems and Neural Networks.


Descriptors :   *MATHEMATICAL MODELS , *SYMPOSIA , *QUANTUM THEORY , *SYMMETRY , NEURAL NETS , NONLINEAR DIFFERENTIAL EQUATIONS , PARTIAL DIFFERENTIAL EQUATIONS , QUANTIZATION


Subject Categories : Operations Research


Distribution Statement : APPROVED FOR PUBLIC RELEASE