Hidden Bibliographic Details
| ISBN: | 9783540691563
3540691561
3540631364
9783540631361
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| Notes: | Includes bibliographical references (pages 339-349) and index.
Print version record.
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| Summary: | The book is devoted to perturbation theory for the Schrdinger 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 Schrdinger 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.
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| Other form: | Print version: Karpeshina, Yulia E., 1956- Perturbation theory for the Schrödinger operator with a periodic potential. Berlin ; New York : Springer, ©1997 3540631364
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