This item is printed on demand - it takes 3-4 days longer - Neuware -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 Schr�dinger operator with periodic potentials. 120 pp. Englisch.

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T�tulo: Semi-Classical Analysis for the Schr�dinger Operator and Applications
Editor: Springer Berlin Heidelberg Jul 1988
Fecha de publicaci�n: 1988
Idioma: Ingl�s
ISBN 10: 3540500766
ISBN 13: 9783540500766
Encuadernaci�n: Taschenbuch
Estado: Neu

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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 Schr�dinger operator with periodic potentials.

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BuchWeltWeit Ludwig Meier e.K.
Germany

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