Spectral properties of Schroedinger operators and scattering theory
Seiten
1975
|
1975 ed.
Scuola Normale Superiore (Verlag)
978-88-7642-247-8 (ISBN)
Scuola Normale Superiore (Verlag)
978-88-7642-247-8 (ISBN)
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. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly.
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.
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.
| Erscheint lt. Verlag | 1.10.1975 |
|---|---|
| Reihe/Serie | Publications of the Scuola Normale Superiore |
| Zusatzinfo | 68 p. |
| Verlagsort | Pisa |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-10 | 88-7642-247-1 / 8876422471 |
| ISBN-13 | 978-88-7642-247-8 / 9788876422478 |
| Zustand | Neuware |
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