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The complex WKB method for nonlinear equations I : linear theory /

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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 exam...

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Bibliographic Details
Main Author: Maslov, V. P. (Viktor Pavlovich)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser, 1994.
Series:Progress in physics (Boston, Mass.) ; v. 16.
Subjects:
WKB approximation.
Differential equations, Linear > Asymptotic theory.
Differential equations, Nonlinear > Asymptotic theory.
Mathematical physics.
WKB, approximation.
Equations différentielles linéaires > Théorie asymptotique.
Équations différentielles non linéaires > Théorie asymptotique.
Physique mathématique.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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.
Item Description:Electronic resource.
Physical Description:1 online resource (vii, 300 pages) : illustrations
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references and index.
ISBN:9783034885362 (electronic bk.)
3034885369 (electronic bk.)