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Del 1663

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Häftad, Engelska, 1997

AvYulia E. Karpeshina

689 kr

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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.

Produktinformation

  • Utgivningsdatum1997-08-19
  • Mått155 x 235 x 20 mm
  • Vikt552 g
  • FormatHäftad
  • SpråkEngelska
  • SerieLecture Notes in Mathematics
  • Antal sidor356
  • Upplaga1997
  • FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • ISBN9783540631361

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