Semi-Classical Analysis for the Schrodinger Operator and Applications
Bernard Helffer
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.
Thể loại:
Năm:
1988
In lần thứ:
1
Nhà xuát bản:
Springer-Verlag
Ngôn ngữ:
english
Trang:
116
ISBN 10:
3540500766
ISBN 13:
9783540500766
Loạt:
Lecture notes in mathematics 1336
File:
DJVU, 588 KB
IPFS:
,
english, 1988
Không download được sách này bởi khiếu nại của đại diện pháp luật