Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications

Author : Luis Vazquez,Ludwig Streit,Victor Manuel Perez-garcia
Publisher : World Scientific
Page : 382 pages
File Size : 51,5 Mb
Release : 1996-06-20
Category : Electronic
ISBN : 9789814548090

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Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications by Luis Vazquez,Ludwig Streit,Victor Manuel Perez-garcia Pdf

This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.

Author : Luis Vázquez,Ludwig Streit,Victor Pérez-García
Publisher : World Scientific Publishing Company Incorporated
Page : 363 pages
File Size : 46,6 Mb
Release : 1996
Category : Science
ISBN : 9810225652

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Nonlinear Klein-Gordon and Schroedinger Systems by Luis Vázquez,Ludwig Streit,Victor Pérez-García Pdf

Author : Xiao-feng Pang
Publisher : World Scientific
Page : 644 pages
File Size : 48,5 Mb
Release : 2005-04-18
Category : Science
ISBN : 9789814481236

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Quantum Mechanics In Nonlinear Systems by Xiao-feng Pang Pdf

In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.

Author : G. Adomian
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 49,5 Mb
Release : 1988-12-31
Category : Mathematics
ISBN : 9789027725257

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Nonlinear Stochastic Systems Theory and Applications to Physics by G. Adomian Pdf

Approach your problems from the right end and begin with the answers. Then one day, perhaps you will find the final answer. "The Hermit Clad In Crane Feathers" In R. van Gullk's The Chinese Haze Hurders. It Isn't that they can't see the solution. It IS that they can't see the problem. G. K. Chesterton. The Scandal of Father Brown. "The POint of a Pin." Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of k now ledge of m athemat i cs and re I ated fie I ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, COding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And In addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely Integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the eXisting classificatIOn schemes.

Author : Anonim
Publisher : Unknown
Page : 1236 pages
File Size : 47,6 Mb
Release : 1998
Category : Mathematics
ISBN : UOM:39015049327805

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Mathematical Reviews by Anonim Pdf

Author : Vladimir Dobrev
Publisher : Springer
Page : 614 pages
File Size : 41,9 Mb
Release : 2016-12-10
Category : Science
ISBN : 9789811026362

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Lie Theory and Its Applications in Physics by Vladimir Dobrev Pdf

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.“div>This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.

Author : Yan Guo
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 54,9 Mb
Release : 2000
Category : Nonlinear wave equations
ISBN : 9780821820711

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Nonlinear Wave Equations by Yan Guo Pdf

This volume presents original research papers and expository articles from the conference in honour of Walter A. Strauss's 60th birthday, held at Brown University in Providence, Rhode Island. The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. The articles cover a wide range of topics, including scattering theory, dispersive waves, classical field theory, mathematical fluid dynamics, kinetic theory, stability theory, and variational methods. The book offers a cross-section of current trends and research directions in the study of nonlinear wave equations and related topics.

Author : Daisuke Furihata,Takayasu Matsuo
Publisher : CRC Press
Page : 376 pages
File Size : 53,9 Mb
Release : 2010-12-09
Category : Mathematics
ISBN : 9781420094466

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Discrete Variational Derivative Method by Daisuke Furihata,Takayasu Matsuo Pdf

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num

Author : P.L. Christiansen,M.P. Sorensen,A.C. Scott
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 46,8 Mb
Release : 2000-03-06
Category : Science
ISBN : 9783540669180

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Nonlinear Science at the Dawn of the 21st Century by P.L. Christiansen,M.P. Sorensen,A.C. Scott Pdf

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.

Author : Yevgeny Mamontov,Magnus Willander
Publisher : World Scientific
Page : 322 pages
File Size : 43,6 Mb
Release : 2001-01-19
Category : Mathematics
ISBN : 9789814492591

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High-dimensional Nonlinear Diffusion Stochastic Processes by Yevgeny Mamontov,Magnus Willander Pdf

This book is the first one devoted to high-dimensional (or large-scale) diffusion stochastic processes (DSPs) with nonlinear coefficients. These processes are closely associated with nonlinear Ito's stochastic ordinary differential equations (ISODEs) and with the space-discretized versions of nonlinear Ito's stochastic partial integro-differential equations. The latter models include Ito's stochastic partial differential equations (ISPDEs).The book presents the new analytical treatment which can serve as the basis of a combined, analytical-numerical approach to greater computational efficiency in engineering problems. A few examples discussed in the book include: the high-dimensional DSPs described with the ISODE systems for semiconductor circuits; the nonrandom model for stochastic resonance (and other noise-induced phenomena) in high-dimensional DSPs; the modification of the well-known stochastic-adaptive-interpolation method by means of bases of function spaces; ISPDEs as the tool to consistently model non-Markov phenomena; the ISPDE system for semiconductor devices; the corresponding classification of charge transport in macroscale, mesoscale and microscale semiconductor regions based on the wave-diffusion equation; the fully time-domain nonlinear-friction aware analytical model for the velocity covariance of particle of uniform fluid, simple or dispersed; the specific time-domain analytics for the long, non-exponential “tails” of the velocity in case of the hard-sphere fluid.These examples demonstrate not only the capabilities of the developed techniques but also emphasize the usefulness of the complex-system-related approaches to solve some problems which have not been solved with the traditional, statistical-physics methods yet. From this veiwpoint, the book can be regarded as a kind of complement to such books as “Introduction to the Physics of Complex Systems. The Mesoscopic Approach to Fluctuations, Nonlinearity and Self-Organization” by Serra, Andretta, Compiani and Zanarini, “Stochastic Dynamical Systems. Concepts, Numerical Methods, Data Analysis” and “Statistical Physics: An Advanced Approach with Applications” by Honerkamp which deal with physics of complex systems, some of the corresponding analysis methods and an innovative, stochastics-based vision of theoretical physics.To facilitate the reading by nonmathematicians, the introductory chapter outlines the basic notions and results of theory of Markov and diffusion stochastic processes without involving the measure-theoretical approach. This presentation is based on probability densities commonly used in engineering and applied sciences.

Author : Sergio Albeverio,Franco Flandoli,Yakov G. Sinai
Publisher : Springer
Page : 174 pages
File Size : 41,7 Mb
Release : 2008-04-01
Category : Mathematics
ISBN : 9783540784937

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SPDE in Hydrodynamics: Recent Progress and Prospects by Sergio Albeverio,Franco Flandoli,Yakov G. Sinai Pdf

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Author : Catherine Sulem,Pierre-Louis Sulem
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 40,7 Mb
Release : 2007-06-30
Category : Mathematics
ISBN : 9780387227689

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The Nonlinear Schrödinger Equation by Catherine Sulem,Pierre-Louis Sulem Pdf

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1060 pages
File Size : 46,9 Mb
Release : 2007-04-18
Category : Science
ISBN : 9783540347644

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Quantum Field Theory I: Basics in Mathematics and Physics by Eberhard Zeidler Pdf

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Author : QUAN-FANG WANG
Publisher : Lambert Academic Publishing
Page : 216 pages
File Size : 54,7 Mb
Release : 2011-11-11
Category : Mathematics
ISBN : 9783846554647

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PRACTICAL APPLICATION O OPTIMAL CONTROL THEORY by QUAN-FANG WANG Pdf

Author : Ole E. Barndorff-Nielsen,Thomas Mikosch,Sidney I. Resnick
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 53,6 Mb
Release : 2001-03-30
Category : Mathematics
ISBN : 081764167X

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Lévy Processes by Ole E. Barndorff-Nielsen,Thomas Mikosch,Sidney I. Resnick Pdf

A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face of a rather aged class of processes. An extensive bibliography at the end of each article makes this an invaluable comprehensive reference text. For the researcher and graduate student, every article contains open problems and points out directions for futurearch. The accessible nature of the work makes this an ideal introductory text for graduate seminars in applied probability, stochastic processes, physics, finance, and telecommunications, and a unique guide to the world of Lévy processes.