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

Authors: Agmon, Shmuel

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About this book

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.

Buy this book

Softcover 10,40 €
price for Spain (gross)
  • ISBN 978-88-7642-247-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules

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Bibliographic Information

Bibliographic Information
Book Title
Spectral properties of Schroedinger operators and scattering theory
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1975
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-247-8
Edition Number
1
Number of Pages
68
Topics