Title Semi-Classical Analysis for the Schr??dinger Operator and Applications Author(s) Helffer, Bernard Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 1988. Description V, 110 p : online resource Abstract Note 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 ISBN,Price 9783540459132 Keyword(s) 1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. QUANTUM PHYSICS 8. Theoretical, Mathematical and Computational Physics Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I04575     On Shelf