The complex WKB method for nonlinear equations I
linear theory
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Author
Contributions
- Shishkova, M. A. - Contributor
- Sossinsky, A. B. - Contributor
Publication
1994 - Springer Basel AG, Basel, Switzerland
Language
English
Word Count
75,000 words, Guess
Page Count
300 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL27025550M
- ISBN-139783034885362
- ISBN-103034885369
- OCLC Control Number828735744
- OCLC Control Numbercomplexwkbmethod00masl
Classifications
- DDC530.1/55352
- LCCQC20.7.W53 M37 1994eb
Description
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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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.
Subjects
Series Statement
- Progress in physics -- v. 16
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