Vetenskap & teknik
Pocket
Spectral properties of Schroedinger operators and scattering theory
Shmuel Agmon
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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.
- Format: Pocket/Paperback
- ISBN: 9788876422478
- Språk: Engelska
- Antal sidor: 68
- Utgivningsdatum: 1975-10-01
- Förlag: Scuola Normale Superiore