Article contents
Non-existence of eigenvalues of Schrödinger operators
Published online by Cambridge University Press: 14 February 2012
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
References
- 7
- Cited by