Semi-Classical Analysis for the Schrödinger Operator and Applications

By:

Bernard Helffer

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

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 Schrödinger operator with periodic potentials.

Release date Australia

July 27th, 1988

Author

Bernard Helffer

Series

Lecture Notes in Mathematics

Pages

110

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

V, 110 p.

Dimensions

156x234x6

ISBN-13

9783540500766

Product ID

3841862

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