Perturbation theory for the Schrödinger operator with a periodic potential
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical diffi...
Сохранить в:
| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Серии: | Lecture notes in mathematics
1663 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Perturbation theory for the Schrödinger operator with a periodic potential, Yulia E. Karpeshina, 1997, Berlin [etc.], Springer, 1 vol. (VII-352 p.), Lecture notes in mathematics, 3-540-63136-4 • Perturbation Theory for the Schrödinger Operator with a Periodic Potential, Texte imprimé, 9783662212660 |
| LEADER | 03498nam a22004577a 4500 | ||
|---|---|---|---|
| 001 | 968954 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155164686 | ||
| 020 | |a 9783540691563 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.7242 | ||
| 082 | |a 510 | ||
| 084 | |a 35A35. 1991 | ||
| 084 | |a 35B20. 1991 | ||
| 084 | |a 35B27. 1991 | ||
| 084 | |a 35B30. 1991 | ||
| 084 | |a 35B40. 1991 | ||
| 100 | 1 | |a Karpeshina, Yulia E., |d 1956- | |
| 245 | 1 | 0 | |a Perturbation theory for the Schrödinger operator with a periodic potential |c Yulia E. Karpeshina. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1663 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Perturbation theory for a polyharmonic operator in the case of 2l>n -- Perturbation theory for the polyharmonic operator in the case 4l>n+1 -- Perturbation theory for Schrödinger operator with a periodic potential -- The interaction of a free wave with a semi-bounded crystal. | |
| 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 book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Opérateur de Schrödinger | ||
| 650 | |a Perturbation (mathématiques) | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Perturbation (théorie quantique) | ||
| 776 | 0 | |0 031073603 |t Perturbation theory for the Schrödinger operator with a periodic potential |f Yulia E. Karpeshina |d 1997 |c Berlin [etc.] |n Springer |p 1 vol. (VII-352 p.) |s Lecture notes in mathematics |z 3-540-63136-4 | |
| 776 | 0 | |t Perturbation Theory for the Schrödinger Operator with a Periodic Potential |b Texte imprimé |z 9783662212660 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0094264 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-RFPW9N3M-B |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750679530 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0094264 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754156109 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0094264 |z Accès INSA CVL | |
| 997 | |0 968954 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||