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Author Maslov, V. P. (Viktor Pavlovich)

Title The complex WKB method for nonlinear equations I [electronic resource] : linear theory / Victor P. Maslov ; translated from the Russian by M.A. Shishkova and A.B. Sossinsky.

Published Basel ; Boston : Birkh衵ser, 1994.


Location Call No. Status
Uniform title Kompleksny橠metod VKB v neline橮ykh uravneni멬akh. English
Physical description vii, 300 p. : ill. ; 24 cm.
Series Progress in physics ; v. 16
Progress in physics (Boston, Mass.) ; v. 16.
Bibliography Includes bibliographical references and index.
Restrictions Use copy Restrictions unspecified star MiAaHDL
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Summary 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 The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian.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 Schr诤inger 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.
System notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL
Notes Description based on print version record.
Processing Action digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
Subject WKB approximation.
Differential equations, Linear -- Asymptotic theory.
Differential equations, Nonlinear -- Asymptotic theory.
Mathematical physics.
WKB, approximation.
Equations diff⥲entielles lin⥡ires -- Th⥯rie asymptotique.
Equations diff⥲entielles non lin⥡ires -- Th⥯rie asymptotique.
Physique math⥭atique.
Differential equations, Linear -- Asymptotic theory.
Differential equations, Nonlinear -- Asymptotic theory.
Mathematical physics.
WKB approximation.
Electronic books.
ISBN 3764350881 (alk. paper)
9783764350888 (alk. paper)
0817650881 (alk. paper)
9780817650889 (alk. paper)
9783034885362 (electronic bk.)
3034885369 (electronic bk.)