|Group Theoretical Methods in Physics: Proceedings of the XVII International Colloquium Held at Moscow, Ussr, 4-9 June 1990 (International Colloquium ... Theoretical Methods in Physics: Proceedings)
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Author: V. V. Dodonov
This volume contains review talks and a small selection of the research papers presented at the world's most distinguished conference on group theoretical methods in physics. The papers are devoted to such topics as spectrum generating groups, quantum groups, coherent states, and geometric aspects of group representations. The methods apply to nuclear physics, quantum mechanics, ordinary and supersymmetric linear and non- linear differential equations, geometry, and non-commutative geometry. The book addresses theoretical physicists, especially those in research.
|Differential Geometry, Group Representations, and Quantization (Lecture Notes in Physics, Vol 379)
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Author: J.D. Hennig
Differential geometry and analytic group theory are among the most powerful tools in mathematical physics. This volume presents review articles on a wide variety of applications of these techniques in classical continuum physics, gauge theories, quantization procedures, and the foundations of quantum theory. The articles, written by leading scientists, address both researchers and grad- uate students in mathematics, physics, and philosophy of science.
|Lie Methods in Optics II: Proceedings of the Second Workshop Help at Cocoyoc, Mexico July 19-22, 1988 (Lecture Notes in Physics 352)
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|Nonlinearities in Action: Oscillations Chaos Order Fractals
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Author: A. V. Gaponov-Grekhov
In the dynamics of mankind one can trace out a path of contemplation about the "world", leading from early speculations to today's natural sciences. The endeavour to understand how nature works has led to the construction, still in progress, of an abstract building of great com plexity. To the uninitiated it may look more like a scurrilous sculpture resting on many legs, among them such peculiar ones as probability, relativity, quantum mechanics .... At times problems with the stabil ity of the building or sculpture arise: known facts that won't fit and can no longer be ignored start to undermine the foundations. Then new footings are thought of, constructed and finally cast. In fact, the undermining and casting is often done in one step. This process has already been repeated many times and will un doubtedly repeat itself again and again. At present, one recognizable footing under construction goes by the name of "chaos theory". Physi cists seem to like the word chaos. When they came to recognize that the air is not just empty space but an obviously indescribable dance of myriads of molecules they called that "chaos". What else would fit? In the course of time the name was simplified to "gas". Thus the word chaos became free to serve for the next upsetting experience. That arose in the context of nonlinear dynamical systems, where peculiar motions were detected, ones seemingly beyond human comprehension.
|New Methods and Results in Non-Linear Field Equations: Proc of a Conference Held at the University of Bielefeld, Fed. Rep. of Germany, 7-10 July 198 (Lecture Notes in Physics)
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Author: Philippe Blanchard
|Classical Orthogonal Polynomials of a Discrete Variable (Scientific Computation)
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Author: A. F. Nikiforov
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.
|Analysis and Continuum Mechanics: A Collection of Papers Dedicated to J. Serrin on His Sixtieth Birthday
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Author: S. S. Antman
The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".
|Group Theoretical Methods in Physics: Proceedings of the XVI International Colloquium (International Colloquium on Group Theoretical Methods in ... Theoretical Methods in Physics: Proceedings)
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Author: H. D. Doebner
|Spinorial Chessboard (Trieste Notes in Physics)
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Author: P. Budinich
Spinor theory is an important tool in mathematical physics in particular in the context of conformal field theory and string theory. These lecture notes present a new way to introduce spinors by exploiting their intimate relationship to Clifford algebras. The presentation is detailed and mathematically rigorous. Not only students but also researchers will welcome this book for the clarity of its style and for the straightforward way it applies mathematical concepts to physical theory.
|The Vector Coherent State Method and Its Application to Problems of Higher Symmetries (Lecture Notes in Physics)
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Author: K. T. Hecht
These lectures review the recently developed vector coherent state method. The book is an excellent introduction to the field because of the many examples treated in detail, in particular those from nuclear and particle physics. These calculations will be welcomed by researchers and graduate students. The author reviews the concepts of coherent states of the Heisenberg algebra and shows then that the vector coherent state method maps the higher symmetry algebra into an n-dimensional harmonic oscillator algebra coupled with a simple intrinsic symmetry algebra. The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.