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The Complex WKB Method for Nonlinear Equations I

Release on 2012-12-062012-12-06 by Victor P. Maslov
The Complex WKB Method for Nonlinear Equations I

Author: Victor P. Maslov

Publisher: Birkhäuser

ISBN: 9783034885362

Category: Science

Page: 304

View: 532

When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrödinger equation, and also to take into account the so-called tunnel effects. Finite-dimensional linear theory is reviewed in detail. Infinite-dimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume.
Science
The Complex WKB Method for Nonlinear Equations I
Language: en
Pages: 304

The Complex WKB Method for Nonlinear Equations I

Authors: Victor P. Maslov
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications
Semiclassical Analysis for Diffusions and Stochastic Processes
Language: en
Pages: 356

Semiclassical Analysis for Diffusions and Stochastic Processes

Authors: Vassili N. Kolokoltsov
Categories: Mathematics
Type: BOOK - Published: 2007-12-03 - Publisher: Springer

The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lévy processes, (iii) complex stochastic Schrödinger equations which
Mathematical Modelling of Heat and Mass Transfer Processes
Language: en
Pages: 323

Mathematical Modelling of Heat and Mass Transfer Processes

Authors: V.G. Danilov, Victor P. Maslov, K.A. Volosov
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in
Asymptotic Methods for Wave and Quantum Problems
Language: en
Pages: 284

Asymptotic Methods for Wave and Quantum Problems

Authors: M. V. Karasev
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the
The Complex WKB Method for Nonlinear Equations I
Language: en
Pages: 300

The Complex WKB Method for Nonlinear Equations I

Authors: V. P. Maslov
Categories: Science
Type: BOOK - Published: 1994 - Publisher: Birkhauser

Books about The Complex WKB Method for Nonlinear Equations I

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