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portada The Complex wkb Method for Nonlinear Equations i: Linear Theory: Linear Theory v. 1 (Progress in Mathematical Physics)
Type
Physical Book
Publisher
Year
1994
Language
English
Pages
304
Format
Hardcover
ISBN
3764350881
ISBN13
9783764350888
Edition No.
1994
Categories

The Complex wkb Method for Nonlinear Equations i: Linear Theory: Linear Theory v. 1 (Progress in Mathematical Physics)

Victor P. Maslov (Author) · Birkhäuser · Hardcover

The Complex wkb Method for Nonlinear Equations i: Linear Theory: Linear Theory v. 1 (Progress in Mathematical Physics) - Victor P. Maslov

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Synopsis "The Complex wkb Method for Nonlinear Equations i: Linear Theory: Linear Theory v. 1 (Progress in Mathematical Physics)"

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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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