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

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Description

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.
Release date NZ
August 19th, 1997
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
CCCLXIV, 356 p.
Pages
356
Dimensions
156x234x19
ISBN-13
9783540631361
Product ID
5263805

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