rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Perturbation theory for the Schrödinger operator with a periodic potential
  name:
    name part: Karpeshina, Yulia E.
    name part: 1956-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (vii, 352 pages) : illustrations.
  abstract: The book is devoted to perturbation theory for the Schrdinger 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 Schrdinger 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.
  table of contents: Introduction -- Perturbation Theory for a Polyharmonic Operator in the Case of 2l> n -- Perturbation Theory for the Polyharmonic Operator in the Case of 4l>n+1 -- Perturbation Theory for Schrdinger Operator with a Periodic Potential -- The Interaction of a Free Wave with a Semi- bounded Crystal -- References -- Index.
  note: Yulia E. Karpeshina.
  note: Electronic resource.
  note: Includes bibliographical references (pages [339]-349) and index.
  subject:
    topic: Schrödinger operator
  subject:
    topic: Perturbation (Quantum dynamics)
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Mathematical physics
  subject:
    topic: Potentiel périodique
  subject:
    topic: Diffraction
  subject:
    topic: Cristal
  subject:
    topic: Schrödinger, Opérateur de
  subject:
    topic: Perturbation (Mécanique quantique)
  subject:
    topic: Perturbation (Mathématiques)
  subject:
    topic: Physique mathématique
  subject:
    topic: Mathematical physics
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Perturbation (Quantum dynamics)
  subject:
    topic: Schrödinger operator
  subject:
    topic: Storingsrekening
  subject:
    topic: Equacoes diferenciais parciais
  subject:
    topic: Perturbation (mathématiques)
  subject:
    topic: Schrödinger, Opérateur de
  subject:
    topic: Physique mathématique
  classification: QC174.17.S3
  classification: 515/.7242
  classification: 31.46
  related item:
    title info:
      title: Perturbation theory for the Schrödinger operator with a periodic potential
    name:
      name part: Karpeshina, Yulia E., 1956-
    origin info:
      publisher: Berlin ; New York : Springer, ©1997
    identifier: (DLC) 97022224
    identifier: (OCoLC)37141112
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1663
  identifier: 9783540691563 (electronic bk.)
  identifier: 3540691561 (electronic bk.)
  identifier: 3540631364
  identifier: 9783540631361
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: BUF
    record creation date: 070730
    record change date: 20260422160446.3
    record identifier: in00003509343
    language of cataloging:
      language term: eng