bokomslag Perturbation Theory for the Schrödinger Operator with a Periodic Potential
Vetenskap & teknik

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Yulia E Karpeshina

Pocket

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  • 356 sidor
  • 1997
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.
  • Författare: Yulia E Karpeshina
  • Format: Pocket/Paperback
  • ISBN: 9783540631361
  • Språk: Engelska
  • Antal sidor: 356
  • Utgivningsdatum: 1997-08-19
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG