Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition by Bernard Helffer (PDF)

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.

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Free Download Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition in PDF format
Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition PDF Free Download
Download Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition 1988 PDF Free
Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition 1988 PDF Free Download
Download Semi-Classical Analysis for the Schrödinger Operator and Applications (Lecture Notes in Mathematics, 1336) 1988th Edition PDF
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