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Perturbation Theory for the Schr?dinger Operator with a Periodic Potential

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Product Code: 9783540631361
ISBN13: 9783540631361
Condition: New
$61.47

Perturbation Theory for the Schr?dinger Operator with a Periodic Potential

$61.47
 
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.


Author: Yulia E. Karpeshina
Publisher: Springer
Publication Date: Aug 19, 1997
Number of Pages: 356 pages
Binding: Paperback or Softback
ISBN-10: 3540631364
ISBN-13: 9783540631361
 

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