Perturbation Theory for the Schrödinger Operator with a Periodic Potential / / by Yulia E. Karpeshina

• Autore: Karpeshina Yulia E
• 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.: 9910146288903321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1663