bokomslag Spectral properties of Schroedinger operators and scattering theory
Vetenskap & teknik

Spectral properties of Schroedinger operators and scattering theory

Shmuel Agmon

Pocket

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  • 68 sidor
  • 1975
These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schrdinger operators H=-D+V(x) (D the Laplacian and V a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study.
  • Författare: Shmuel Agmon
  • Format: Pocket/Paperback
  • ISBN: 9788876422478
  • Språk: Engelska
  • Antal sidor: 68
  • Utgivningsdatum: 1975-10-01
  • Förlag: Scuola Normale Superiore