Semi-Classical Analysis for the Schrodinger Operator and Applications PDF
by Bernard Helffer
Part of the Lecture Notes in Mathematics series
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 Schrodinger operator with periodic potentials.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540459132
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540459132
