Perturbation Theory for the Schrödinger Operator with a Periodic Potential [[electronic resource] /] / by Yulia E. Karpeshina
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| Autore: |
Karpeshina Yulia E
|
| Titolo: |
Perturbation Theory for the Schrödinger Operator with a Periodic Potential [[electronic resource] /] / by Yulia E. Karpeshina
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997 |
| Edizione: | 1st ed. 1997. |
| Descrizione fisica: | 1 online resource (CCCLXIV, 356 p.) |
| Disciplina: | 515/.7242 |
| Soggetto topico: | Partial differential equations |
| Mathematical physics | |
| Partial Differential Equations | |
| Theoretical, Mathematical and Computational Physics | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Perturbation theory for the Schrödinger operator with a periodic potential |
| ISBN: | 3-540-69156-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466580703316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1663