The Complex WKB Method for Nonlinear Equations I

Language: English

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 1994, 1994

3764350881 / 9783764350888

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals with asymptotic solutions of linear and nonlinear equa tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o. When the phase S(x) is real (ImS(x) = 0), the method for obtaining asymp totics of this type is known in quantum mechanics as the WKB-method. We preserve this terminology in the case ImS(x) ~ 0 and develop the method for a wide class of problems in mathematical physics. Asymptotics of this type were constructed recently for many linear prob lems of mathematical physics; certain specific formulas were obtained by differ ent methods (V. M. Babich [5 -7], V. P. Lazutkin [76], A. A. Sokolov, 1. M. Ter nov [113], J. Schwinger [107, 108], E. J. Heller [53], G. A. Hagedorn [50, 51], V. N. Bayer, V. M. Katkov [21], N. A. Chernikov [35] and others). However, a general (Hamiltonian) formalism for obtaining asymptotics of this type is clearly required; this state of affairs is expressed both in recent mathematical and physical literature. For example, the editors of the collected volume [106] write in its preface: 'One can hope that in the near future a computational pro cedure for fields with complex phase, similar to the usual one for fields with real phase, will be developed. 304 pp. Englisch.

Seller Inventory # 9783764350888

Title
The Complex WKB Method for Nonlinear Equations I
Author
Victor P. Maslov
Publisher
Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 1994
Publication year
1994
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3764350881
ISBN 13
9783764350888
Item weight
621 grams
Dimensions
177x23x0 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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