Spectral Theory of Random Schrödinger Operators : A Genetic Introduction
The interplay between the spectral theory of Schr/dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nas...
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| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1498 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Spectral theory of random Schrödinger operators, a genetic introduction, Reinhard Lang, 1991, Berlin, Springer, 1 volume (125 pages), Lecture notes in mathematics, 3-540-54975-7 • Spectral Theory of Random Schrödinger Operators, Texte imprimé, 9783662191514 |
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| 100 | 1 | |a Lang, Reinhard. | |
| 245 | 1 | 0 | |a Spectral Theory of Random Schrödinger Operators : |b A Genetic Introduction |c Reinhard Lang. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1498 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Two simple examples -- The general heuristic picture -- Some known results and open problems -- Explanation of Theorem 1 and introduction to an extended Boltzmann theory of entropy -- Explanation of Theorem 2 and introduction to an extended Floquet-Weyl theory -- Conclusion. | |
| 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 The interplay between the spectral theory of Schr/dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. The term "genetic" in the title refers to this proceedure. The author concentrates on 2 topics which, in the history of the subject, have been of major conceptual importance - on the one hand the Laplacian is a random medium and the left end of its spectrum (leading to large deviation problems for Brownian motion and the link to thenotion of entropy) and on the other, Schr/dinger operators with general ergodic potentials in one-dimensional space. Ideas and concepts are explained in the simplest, possible setting and by means of a few characteristic problems with heuristic arguments preceding rigorous proofs. | ||
| 650 | |a Opérateur de Schrödinger | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Opérateurs aléatoires | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 022483640 |t Spectral theory of random Schrödinger operators |o a genetic introduction |f Reinhard Lang |d 1991 |c Berlin |n Springer |p 1 volume (125 pages) |s Lecture notes in mathematics |z 3-540-54975-7 | |
| 776 | 0 | |t Spectral Theory of Random Schrödinger Operators |b Texte imprimé |z 9783662191514 | |
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| 856 | 4 | |5 452349901:750643382 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093929 |z Accès Université d'Orléans | |
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