Aleksandr S Mishchenko

(Author)

Lagrangian Manifolds and the Maslov Operator (Softcover Reprint of the Original 1st 1990)Paperback - Softcover Reprint of the Original 1st 1990, 27 September 2011

Lagrangian Manifolds and the Maslov Operator (Softcover Reprint of the Original 1st 1990)
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Part of Series
Springer Soviet Mathematics
Part of Series
Springer Series in Soviet Mathematics
Print Length
395 pages
Language
English
Publisher
Springer
Date Published
27 Sep 2011
ISBN-10
3642647650
ISBN-13
9783642647659

Description

This book presents Maslov's canonical operator method for finding asymptotic solutions of pseudo differential equations. The classical WKB method, so named in honor of its authors: Wentzel, Kramers and Brillouin, was created for finding quasi classical approximations in quantum mechanics. The simplicity, obviousness and "physicalness" of this method quickly made it popular: specialists in mathematical physics accepted it unequivocally as one of the weapons in their arsenal. The number of publications which are connected with the WKB method in one way or another can probably no longer be counted. The alternative name of the WKB method in diffraction problem- the ray method or the method of geometric optics - indicates that the approximations in the WKB method are constructed by means of rays. More precisely, the first approximation of the WKB method is constructed by means of rays (isolating the singular part), after which the usual methods of the (regular) theory of perturbations are applied. However, the ray method is not applicable at the points of space where the rays focus or form a caustic. Mathematically this fact expresses itself in the fact that the amplitude of the waves at such points become infinite.

Product Details

Authors:
Aleksandr S MishchenkoViktor E ShatalovBoris Yu Sternin
Book Edition:
Softcover Reprint of the Original 1st 1990
Book Format:
Paperback
Country of Origin:
NL
Date Published:
27 September 2011
Dimensions:
23.39 x 15.6 x 2.13 cm
ISBN-10:
3642647650
ISBN-13:
9783642647659
Language:
English
Location:
Berlin, Heidelberg
Pages:
395
Publisher:
Weight:
576.06 gm

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