The Complex WKB Method for Nonlinear Equations I

Victor P. Maslov; A.B. Sossinsky; M. A. Shishkova

ISBN 10: 0817650881 / ISBN 13: 9780817650889

Published by Birkhauser, 1994

About this Item

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Seller Inventory # ABNR-92241

Bibliographic Details

• Title: The Complex WKB Method for Nonlinear Equations I
• Publisher: Birkhauser
• Publication Date: 1994
• Language: English
• ISBN 10: 0817650881
• ISBN 13: 9780817650889
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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

Language Notes

Text: English
Original Language: Russian