Mathematical Physics Research at the Cutting Edge

Mathematical Physics Research at the Cutting Edge
Author: Charles V. Benton
Publisher: Nova Publishers
Total Pages: 286
Release: 2004
Genre: Mathematics
ISBN: 9781590339398

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field. Structure of the Kalb-Ramond Gauge Symmetry and Spinor Representations; Group Theoretical Interpretation of CPT-Theorem; Cross Recurrence Plots and Their Applications; Analytical Solutions of the Radiative Transfer Equation in One-dimensional Spherical Geometry With Central Symmetry; Hyperspherical Functions and Harmonic Analysis on the Lorentz Group; The Next Stage: Quantum Game Theory; Index.

Trends in Mathematical Physics Research

Trends in Mathematical Physics Research
Author: Charles V. Benton
Publisher: Nova Publishers
Total Pages: 256
Release: 2004
Genre: Mathematics
ISBN: 9781590339138

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Studies in Mathematical Physics Research

Studies in Mathematical Physics Research
Author: Charles V. Benton
Publisher: Nova Publishers
Total Pages: 264
Release: 2004
Genre: Science
ISBN: 9781594540271

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Mathematical Physics

Mathematical Physics
Author: Donald H. Menzel
Publisher: Courier Corporation
Total Pages: 434
Release: 2012-05-23
Genre: Science
ISBN: 0486139107

Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.

Mathematical Physics

Mathematical Physics
Author: Sadri Hassani
Publisher: Springer Science & Business Media
Total Pages: 1052
Release: 2002-02-08
Genre: Science
ISBN: 9780387985794

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
Author: Denis Blackmore
Publisher: World Scientific
Total Pages: 563
Release: 2011-03-04
Genre: Mathematics
ISBN: 9814462713

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book.The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham-Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained.This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.

Leading-edge Semiconductor Research

Leading-edge Semiconductor Research
Author: Thomas B. Elliot
Publisher: Nova Publishers
Total Pages: 270
Release: 2005
Genre: Science
ISBN: 9781594545740

This book includes within its scope studies of the structural, electrical, optical and acoustical properties of bulk, low-dimensional and amorphous semiconductors; computational semiconductor physics; interface properties, including the physics and chemistry of heterojunctions, metal-semiconductor and insulator-semiconductor junctions; all multi-layered structures involving semiconductor components. Dopant incorporation. Growth and preparation of materials, including both epitaxial (e.g. molecular beam and chemical vapour methods) and bulk techniques; in situ monitoring of epitaxial growth processes, also included are appropriate aspects of surface science such as the influence of growth kinetics and chemical processing on layer and device properties. The physics of semiconductor electronic and optoelectronic devices are examined , including theoretical modelling and experimental demonstration; all aspects of the technology of semiconductor device and circuit fabrication. Relevant areas of 'molecular electronics' and semiconductor structures incorporating Langmuir-Blodgett films; resists, lithography and metallisation where they are concerned with the definition of small geometry structure. The structural, electrical and optical characterisation of materials and device structures are also included. The scope encompasses materials and device reliability: reliability evaluation of technologies; failure analysis and advanced analysis techniques such as SEM, E-beam, optical emission microscopy, acoustic microscopy techniques; liquid crystal techniques; noise measurement, reliability prediction and simulation; reliability indicators; failure mechanisms, including charge migration, trapping, oxide breakdown, hot carrier effects, electro-migration, stress migration; package- related failure mechanisms; effects of operational and environmental stresses on reliability.

Operator Theory, Analysis and Mathematical Physics

Operator Theory, Analysis and Mathematical Physics
Author: Jan Janas
Publisher: Springer Science & Business Media
Total Pages: 261
Release: 2007-04-29
Genre: Mathematics
ISBN: 3764381353

This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

Leading-edge Research on Evolution Equations

Leading-edge Research on Evolution Equations
Author: Gaston M. N'Guerekata
Publisher: Nova Publishers
Total Pages: 258
Release: 2008
Genre: Mathematics
ISBN: 9781604562262

This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.