Perturbation Theory for the Schrödinger Operator with a Periodic Potential / Lecture Notes in Mathematics Bd.1663 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Yulia E. Karpeshina
- 2006, 1997, 356 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540691561
- ISBN-13: 9783540691563
- Erscheinungsdatum: 14.11.2006
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 21 MB
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Sprache:
Englisch
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