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Non-existence of eigenvalues of Schrödinger operators

Published online by Cambridge University Press:  14 February 2012

H. Kalf
H. Kalf
Affiliation:
Institut für Mathematik, RWTH Aachen
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Synopsis

The paper provides conditions which enstlre that the Schrödinger operator

defined on an exterior domain has no eigenvalues on a certain half-ray. These conditions are in terms of weak local assumptions on

The proof uses Kato's ideas [16] in conjunction with the physicists' “commutator proof” of the quantum mechanical virial theorem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 1-2 , 1977 , pp. 157 - 172
Copyright
Copyright © Royal Society of Edinburgh 1977

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