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Semi-Classical Analysis for the Schrödinger Operator and Applications

By Bernard Helffer

Product Image: Semi-Classical Analysis for the Schrödinger Operator and Applications

Semi-Classical Analysis for the Schrödinger Operator and Applications

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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 Schrödinger operator with periodic potentials.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
120
Release Date:
2009-02-22
Publication Date:
1988-07-27
Publisher:
Springer
Languages:
Original: English
ISBN10:
3540500766
ISBN13:
9783540500766
GPSR Manufacturer Reference:
[email protected]
Weight:
195 g
Height:
155 cm
Width:
235 cm
Thickness:
7 cm
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