Semi-Classical Analysis for the Schroedinger Operator and Applications (Paperback, 1988 ed.)

This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schr dinger operator with periodic potentials.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Nankai Institute of Mathematics, Tianjin, P.R. China, 1336
Release date:	July 1988
First published:	1988
Authors:	Bernard Helffer
Dimensions:	235 x 155 x 6mm (L x W x T)
Format:	Paperback
Pages:	110
Edition:	1988 ed.
ISBN-13:	978-3-540-50076-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Promotions
LSN:	3-540-50076-6
Barcode:	9783540500766

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