| Spectral Properties of Schroedinger Operators and Scattering Theory Contributor(s): Agmon, Shmuel (Author) |
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ISBN: 8876422471 ISBN-13: 9788876422478 Publisher: Edizioni Della Normale OUR PRICE: $14.20 Product Type: Paperback Published: October 1975 |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational |
| Dewey: 530.15 |
| Series: Publications of the Scuola Normale Superiore |
| Physical Information: 68 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Schr dinger 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. |