Lagrangian Manifolds and the Maslov Operator (Paperback)

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2011

3642647650 / 9783642647659

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Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Title
Lagrangian Manifolds and the Maslov Operator (Paperback)
Author
Aleksandr S. Mishchenko
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Publication year
2011
Condition
new
Binding
Paperback
Language
English
ISBN 10
3642647650
ISBN 13
9783642647659

AussieBookSeller

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