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Wir sind gerne für Sie daThe 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.
Produkteigenschaften
- Artikelnummer: 9783540631361
- Medium: Buch
- ISBN: 978-3-540-63136-1
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 19.08.1997
- Sprache(n): Englisch
- Auflage: 1997
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 1130 g
- Seiten: 356
- Format (B x H x T): 155 x 235 x 20 mm
- Ausgabetyp: Kein, Unbekannt