Semi-Classical Analysis for the Schrödinger Operator and Applications
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...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1336 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
En partie publié à partir de cours donnés à Nankai University, Chine, en octobre 1985 Ce titre fait partie de la série : "Nankai Institute of Mathematics, (Tianjin, P.R. China), vol. 4." Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Semi-classical analysis for the Schrödinger operator and applications, Bernard Helffer, 1988, Berlin, Springer, 1 volume (IV-107 pages), Lecture notes in mathematics, 0-387-50076-6 • Semi-Classical Analysis for the Schrödinger Operator and Applications, Texte imprimé, 9783662171738 |
| LEADER | 03754nam a22004577a 4500 | ||
|---|---|---|---|
| 001 | 943742 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155163612 | ||
| 020 | |a 9783540459132 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 35P20. 1980 | ||
| 084 | |a 58C40. 1980 | ||
| 084 | |a 81C05. 1980 | ||
| 084 | |a 81C10. 1980 | ||
| 100 | 1 | |a Helffer, Bernard, |d 1949-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Semi-Classical Analysis for the Schrödinger Operator and Applications |c Bernard Helffer. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1336 |x 1617-9692 | |
| 500 | |a En partie publié à partir de cours donnés à Nankai University, Chine, en octobre 1985 | ||
| 500 | |a Ce titre fait partie de la série : "Nankai Institute of Mathematics, (Tianjin, P.R. China), vol. 4." | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Generalities on semi-classical analysis -- B.K.W. Construction for a potential near the bottom in the case of non-degenerate minima -- The decay of the eigenfunctions -- Study of interaction between the wells -- An introduction to recent results of Witten -- On Schrödinger operators with periodic electric potentials -- On Schrödinger operators with magnetic fields. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Opérateur de Schrödinger | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 776 | 0 | |0 020784597 |t Semi-classical analysis for the Schrödinger operator and applications |f Bernard Helffer |d 1988 |c Berlin |n Springer |p 1 volume (IV-107 pages) |s Lecture notes in mathematics |z 0-387-50076-6 | |
| 776 | 0 | |t Semi-Classical Analysis for the Schrödinger Operator and Applications |b Texte imprimé |z 9783662171738 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0078115 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-97RBG382-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747822573 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0078115 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750839430 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0078115 |z Accès INSA CVL | |
| 997 | |0 943742 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||