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Perturbation Theory for the Schrödinger Operator with a Periodic Potential (Lecture Notes in Mathematics)
by Yulia E Karpeshina
Binding: Paperback, 1 edition, 352 pages
Publisher: Springer
List Price: USD $65.00
Weight: 115
Dimension: H: 0.75 x L: 9.06 x W: 0.49 inches
ISBN 10: 3540631364
ISBN 13: 9783540631361
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Book Description:
The book is devoted to perturbation theory for the Schr dinger 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 Schr dinger 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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