ENGLISH

Semi-Classical Analysis for the Schrodinger Operator and Applications

By Bernard Helffer

Book information

Publisher
Springer-Verlag
Year
1988
ISBN
3540500766, 9783540500766, 0387500766
LCC
QA3 .L28 no. 1336a,QA329 .L28 no. 1336a
Open Library ID
OL2136164M
Language
english
Format
DJVU
Filesize
588 kB (601628 bytes)
Series
Lecture notes in mathematics 1336
Edition
1
Pages
116\116
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

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 Schr?dinger operator with periodic potentials.

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