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Semi-Classical Analysis for the Schrödinger Operator and Applications

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-540-45913-2 / 978-3540459132 / 9783540459132

Verlag: Springer Berlin

Erscheinungsdatum: 15.11.2006

Seiten: 110

Autor(en): Bernard Helffer

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