Spectral properties of Schroedinger operators and scattering theory (Publications of the Scuola Normale Superiore)

Shmuel Agmon

ISBN 10: 8876422471 / ISBN 13: 9788876422478

Editore: Edizioni della Normale, 2007

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68 pages. 9.06x6.38x0.24 inches. In Stock. Codice articolo __8876422471

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Titolo: Spectral properties of Schroedinger ...

Casa editrice: Edizioni della Normale

Data di pubblicazione: 2007

Legatura: Paperback

Condizione: Brand New

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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.