Format:
Online-Ressource (V, 110 p, online resource)
ISBN:
9783540459132
,
9783540500766
Series Statement:
Lecture Notes in Mathematics 1336
Content:
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
Additional Edition:
ISBN 9783540500766
Additional Edition:
Erscheint auch als Druck-Ausgabe Helffer, Bernard, 1949 - Semi-classical analysis for the Schrödinger operator and applications Berlin : Springer, 1988 ISBN 3540500766
Additional Edition:
ISBN 0387500766
Language:
English
Subjects:
Mathematics
Keywords:
Hamilton-Operator
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
Author information:
Helffer, Bernard 1949-
