Spectral properties of Schrödinger operators and scattering theory - Brossura

Agnon, Shemuel Y.

Brossura

ISBN 10: 8876422471 ISBN 13: 9788876422478

Casa editrice: Scuola Normale Superiore, 1975

Riassunto

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 Schrödinger 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.

Dettagli dell?edizione

• Editore: Scuola Normale Superiore
• Data di pubblicazione: 1975
• ISBN 10: 8876422471
• ISBN 13: 9788876422478
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 68