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Semi-classical analysis for the Schrödinger operator and applications

Author: Bernard Helffer
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in mathematics (Springer-Verlag), 1336.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Helffer, Bernard.
Semi-classical analysis for the Schrödinger operator and applications.
Berlin ; New York : Springer-Verlag, ©1988
(DLC) 88202680
(OCoLC)22710910
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bernard Helffer
ISBN: 9783540459132 3540459138
OCLC Number: 298591550
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (iv, 107 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Generalities on Semi-Classical Analysis --
B.K.W. Construction for a Potential Near the Bottom in the Case of Nondegenerate Minima --
The Decay of the Eigenfunctions --
Study of Interaction Between the Wells --
An Introduction to Recent Results of Witten --
On Schrdinger Operators with Periodic Electric Potentials --
On Schrdinger Operators with Magnetic Fields --
References --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1336.
Responsibility: Bernard Helffer.

Abstract:

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  Read more...

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