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＜Book＞
Semi-classical analysis for the Schrödinger operator and applications
| Responsibility | Bernard Helffer |
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| Series | Lecture notes in mathematics ; 1336 . Nankai Institute of Mathematics ; v. 4 |
| Material Type | Book |
| Publication | Berlin ; Tokyo : Springer-Verlag , c1988 |
| Language | English |
| Size | iv, 107 p. : ill. ; 25 cm |
| Abstract | 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 boo...s 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. show more |
Holdings
| Status | Volume | Location | Call No. | Printed | Collection Name | Barcode No. | Comments | Reserve | Copy | Automatic archive |
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SciTech 3F Mathematical Books | SER/LNM/1336 | 1988 |
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068222188005597 |
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SciTech Library ASRS | 410.8/L 493/(1336) | 1988 |
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068582188024386 |
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Faculty of Mathematics Reading Room | SER/LNM/K1336 | 1988 |
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068252188008041 |
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Bibliographic details
| Notes | Bibliography: p. [100]-105 Includes index |
|---|---|
| Authors | *Helffer, Bernard |
| Subjects | LCSH:Schrödinger operator LCSH:Differential equations, Partial -- Asymptotic theory All Subject Search LCSH:Spectral theory |
| Classification | LCC:QA3 LCC:QA329 DC19:510 s DC19:515.7/24 |
| ID | 1000037574 |
| ISBN | 3540500766 |
| NCID | BA04235225 |
| Vol | : gw ; ISBN:3540500766 ; PRICE:DM23.00 : us ; ISBN:0387500766 |
| Created Date | 2009.09.10 |
| Modified Date | 2017.02.18 |