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Více informací o knize Spectral properties of Schroedinger operators and scattering theory

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Physics Mathematical physics

• Plný název: Spectral properties of Schroedinger operators and scattering theory
• Autor: Shmuel Agmon
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 68
• EAN: 9788876422478
• ISBN: 8876422471
• ID: 05321791
• Nakladatelství: Birkhauser Verlag AG
• Hmotnost: 136 g
• Rozměry: 167 × 232 × 6 mm

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