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Complex WKB Method for Nonlinear Equations I

Name: Complex WKB Method for Nonlinear Equations I
Brand: Springer Basel
SKU: 02016739
Price: 53.79 EUR
Availability: InStock
Author: Victor P. Maslov
ISBN: 9783034896696

Linear Theory

Victor P. Maslov

M.A. Shishkova

A.B. Sossinsky

Langue

Anglais

Livre Livre de poche

Code Libristo: 02016739

Éditeurs Springer Basel, août 1994

When this book was first published (in Russian), it proved to become the fountainhead of a major str... Description détaillée

Code Libristo: 02016739

132 b

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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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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.