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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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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.
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Edition | Availability |
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The complex WKB method for nonlinear equations I: linear theory
1994, Springer Basel AG
electronic resource :
in English
3034885369 9783034885362
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Book Details
Edition Notes
Originally published by Birkhäuser Verlag in 1994.
Softcover reprint of the hardcover 1st edition 1994.
Includes bibliographical references.
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- Created June 29, 2019
- 5 revisions
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March 28, 2025 | Edited by ImportBot | Redacting ocaids |
September 28, 2024 | Edited by MARC Bot | import existing book |
March 1, 2022 | Edited by ImportBot | import existing book |
September 13, 2021 | Edited by ImportBot | import existing book |
June 29, 2019 | Created by MARC Bot | Imported from Internet Archive item record |