Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics)

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9783540500766: Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics)
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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 Schrödinger operator with periodic potentials.

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9780387500768: Semi-Classical Analysis for the Schrodinger Operator and Applications (Lecture Notes in Mathematics)

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ISBN 10:  0387500766 ISBN 13:  9780387500768
Publisher: Springer Verlag, 1988
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