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Absence of singular continuous spectrum for two-body Schrödinger operators with long-range potentials (a new proof)

Published online by Cambridge University Press:  14 November 2011

Hans L. Cycon
Hans L. Cycon
Affiliation:
New York University, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, N.Y. 10012, U.S.A.
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Synopsis

We prove the absence of singular continuous spectra for Schrödinger operators − Δ + V with long-range potential V such that V and (1 + r)1+ε(∂/∂r) V is (− Δ)-compact by using a modified “Mourre type” estimate and by Kato-Lavine's H-smoothness theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 61 - 69
Copyright
Copyright © Royal Society of Edinburgh 1983

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