Buch, Englisch, 68 Seiten, Format (B × H): 232 mm x 167 mm, Gewicht: 136 g
Buch, Englisch, 68 Seiten, Format (B × H): 232 mm x 167 mm, Gewicht: 136 g
Reihe: Publications of the Scuola Normale Superiore
ISBN: 978-88-7642-247-8
Verlag: Scuola Normale Superiore
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.
Zielgruppe
Research
