The topics discussed include recent developments in operator theory and orthogonal polynomials, coherent states and wavelet analysis, geometric methods in theoretical physics and quantum field theory, and the application of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. This volume should be of interest to anyone working in a field using the mathematical methods of any of these general topics.

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their applications can be conceived, developed and disseminated. The contributions in this volume address a variety of contemporary problems in mathematical and theoretical physics.

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their physics applications can be conceived, developed and disseminated. Basic ideas for addressing a variety of contemporary problems in mathematical and theoretical physics are presented in a nonintimidating atmosphere. Experts provide the reader the fundamentals to predict new possibilities in physics and other fields.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their applications can be conceived, developed and disseminated. The contributions in this volume address a variety of contemporary problems in mathematical and theoretical physics. Sample Chapter(s). Chapter 1: Representation Theory in Classical and Quantum Physics (1,822 KB). Contents: Plenary Lectures: Representation Theory in Classical and Quantum Physics (J-P Antoine); Lectures on the Gauge Theory/Gravity Correspondence (R de Mello Koch); Introductory and Fundamental Mathematical Aspects of Supersymmetry (S J Gates, Jr); Theoretical Methods of Modern Classical and Quantum Physics: Bosonization of the Schwinger Model by Noncommutative Chiral Bosons (J Ben Geloun et al.); Bol Loops as a New Approach in Physics (Th B Bouetou); Random Phase Approximation with Exchange for the Inner-Shell Electron Photoionization (Z Chen & A Z Msezane); Coherent States, Wavelets, Functional Analysis and Orthogonal Polynomials: The Beta-Geometric Model Applied to Fecundability in a Sample of Married Women (D B Adekanmbi & T A Bamiduro); On the Existence and Uniqueness of Solutions to the Thermal Filtration Model (F B Agusto & O M Bamigbola); Application of the Adomian Decomposition Method to Solve the Duffing Equation and Comparison with the Perturbation Method (G Bissanga); and other papers. Readership: Researchers, academics and graduate students in mathematical physics, theoretical physics and materials science.

The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.

The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.

The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.

On the occasion of the 150th anniversary of Sophus Lie, an International Work shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily, October 27 31, 1992). The Workshop was aimed to enlighten the present state ofthis rapidly expanding branch of applied mathematics. Main topics of the Conference were: • classical Lie groups applied for constructing invariant solutions and conservation laws; • conditional (partial) symmetries; • Backlund transformations; • approximate symmetries; • group analysis of finite-difference equations; • problems of group classification; • software packages in group analysis. The success of the Workshop was due to the participation of many experts in Group Analysis from different countries. This book consists of selected papers presented at the Workshop. We would like to thank the Scientific Committee for the generous support of recommending invited lectures and selecting the papers for this volume, as well as the members of the Organizing Committee for their help. The Workshop was made possible by the financial support of several sponsors that are listed below. It is also a pleasure to thank our colleague Enrico Gregorio for his invaluable help of this volume.

The volume is very beneficial to both starting and experienced researchers working in the field of integrable nonlinear equations, soliton theory, and nonlinear waves. It will be an excellent reference book for graduate students majoring in mathematical physics and engineering sciences. This volume covers a broad range of current interesting topics in nonlinear and modern mathematical physics, and reviews recent developments in integrable systems, soliton theory and nonlinear dynamics. The book is suitable for both starting and experienced researchers working in nonlinear sciences, and it is a good reference for students of mathematical, physical and engineering sciences.