Proceedings Of The First International Workshop On Contemporary Problems In Mathematical 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 Contents:Lectures on Diffeomorphisms Groups in Quantum Physics (G A Goldin)On the Road Towards the Quantum Geometer's Universe: An Introduction to Four-Dimensional Supersymmetric Quantum Field Theory (J Govaerts)Theoretical Methods of Modern Classical and Quantum Physics:A Stochastic Streamflow Model Based on a Minimum Energy Expenditure Concept (A Afouda et al.)Regge Poles Trajectories for Nonsingular Potentials: The Thomas-Fermi Potentials (Z Felfli et al.)Proposed Differential Equation for Spin 1/2 (H V Mweene)Influence of Diseases and Arterial Prostheses on Solitary Blood Waves: Characteristics of an Ideal Prosthesis (S Noubissié & P Woafo)Coherent States, Wavelets and Geometric Methods in Theoretical Physics:Vector Coherent States over Matrix Domains (S T Ali)Wavelet Analysis and Some of Its Applications in Physics (J-P Antoine)Some Variations on the Berezin Quantization Method (M Engliš)Variational Analysis, PDE's and Image Analysis: The Big Picture and a Sampling of Details (N D George & K R Vixie)Functional Analysis Special Functions and Orthogonal Polynomials:On Generalized Continuous D Semi-Classical Orthogonal Polynomials of Class One (E S Azatassou & M N Hounkonnou)and other papers Readership: Researchers and professionals in physics and mathematics. Keywords:Mathematical Physics;Theoretical Physics;Quantum Physics;Coherent States;Supersymmetry

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 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 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 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. Contents:Quantization Techniques: A Quick Overview (S T Ali)The Quantum Geometer's Universe: Particles, Interactions and Topology (J Govaerts)Theoretical Methods of Modern Classical and Quantum Physics:Do Cross-Sections Determine Phase Shifts Uniquely? (D Atkinson)Hilbert Transform or Kramers-Kronig Relations Applied to Some Aspects of Linear and Nonlinear Physics (G Debiais)Application of the Gibbs Sampler to the Conditional Simulation of Rain Fields (H Onibon et al.)The Mathematics of an Algebraic Approach to the Physics of Hadrons (M D Slaughter)Coherent States, Wavelets and Geometric Methods in Theoretical Physics:Phase Space Geometry in Classical and Quantum Mechanics (J R Klauder)Functional Analysis Special Functions and Orthogonal Polynomials:On Generalized Continuous D Semi-Classical Hermite and Chebychev Orthogonal Polynomials of Class One (E Azatassou & M N Hounkonnou)On a Generalization of the Method by Barbaroux et al. for the Improvement on the Rate of Decay of an Operator Resolvent (G Honnouvo & M N Hounkonnou)and other papers Readership: Researchers in mathematical physics, theoretical physics, physical chemistry, analysis and differential equations, atomic and quantum physics. Keywords:

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.