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Semi-Classical Analysis for the Schrödinger Operator and Applications: 1336 (Lecture Notes in Mathematics, 1336) - Softcover
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.
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- PublisherSpringer
- Publication date1988
- ISBN 10 3540500766
- ISBN 13 9783540500766
- BindingPaperback
- LanguageEnglish
- Number of pages115
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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.
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Semi-Classical Analysis for the Schrödinger Operator and Applications
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Springer Berlin Heidelberg, 1988
ISBN 10: 3540500766
ISBN 13: 9783540500766
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Semi-Classical Analysis for the Schrödinger Operator and Applications
Published by
Springer Berlin Heidelberg, 1988
ISBN 10: 3540500766
ISBN 13: 9783540500766
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Semi-Classical Analysis for the Schr Dinger Operator and Applications
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Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336)
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Semi-Classical Analysis for the Schrödinger Operator and Applications
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ISBN 10: 3540500766
ISBN 13: 9783540500766
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Taschenbuch. Condition: Neu. 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 Schrödinger operator with periodic potentials. 120 pp. Englisch. Seller Inventory # 9783540500766
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Semi-Classical Analysis for the Schrödinger Operator and Applications
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ISBN 10: 3540500766
ISBN 13: 9783540500766
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540500766
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Semi-Classical Analysis for the Schr Dinger Operator and Applications
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