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

Shmuel Agmon

ISBN 10: 8876422471 / ISBN 13: 9788876422478

Published by Edizioni della Normale, 2007

About this Item

68 pages. 9.06x6.38x0.24 inches. In Stock.

Seller Inventory # __8876422471

Bibliographic Details

• Title: Spectral properties of Schroedinger operators and scattering theory (Publications of the Scuola Normale Superiore)
• Publisher: Edizioni della Normale
• Publication Date: 2007
• Language: English
• ISBN 10: 8876422471
• ISBN 13: 9788876422478
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

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.