Semi-Classical Analysis for the Schrödinger Operator and Applications. Lecture notes in mathematics. Subseries: Nankai lnstitute of Mathematics, (Tianjin, P. R. China); Bd. vol. 4.

Helffer, Bernard

ISBN 10: 3540500766 / ISBN 13: 9783540500766

Published by Berlin, Springer, 1988

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03712 3540500766 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2489636

Bibliographic Details

• Title: Semi-Classical Analysis for the Schrödinger Operator and Applications. Lecture notes in mathematics. Subseries: Nankai lnstitute of Mathematics, (Tianjin, P. R. China); Bd. vol. 4.
• Publisher: Berlin, Springer
• Publication Date: 1988
• Language: English
• ISBN 10: 3540500766
• ISBN 13: 9783540500766
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.