The Mourre estimate for dispersive 𝑁-body Schrödinger operators-Reference-Cited by-同舟云学术

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The Mourre estimate for dispersive 𝑁-body Schrödinger operators

Published:1990 Issue:2 Volume:317 Page:773-798
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Dereziński Jan

Abstract

We prove the Mourre estimate for a certain class of dispersive N N -body Schrödinger operators. Using this estimate we derive some properties of those operators such as the local finiteness of the finite spectrum and the absence of the singular continuous spectrum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1990-317-02/S0002-9947-1990-0970265-4/S0002-9947-1990-0970265-4.pdf

Reference29 articles.

1. Absence of singular continuous spectrum for certain selfadjoint operators;Mourre, E.;Comm. Math. Phys.,1980

2. Spectral analysis of 𝑁-body Schrödinger operators;Perry, P.;Ann. of Math. (2),1981

3. A new proof of the Mourre estimate;Froese, Richard;Duke Math. J.,1982

4. Operateurs conjugués et propriétés de propagation;Mourre, É.;Comm. Math. Phys.,1983

5. Texts and Monographs in Physics;Cycon, H. L.,1987

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