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The existence of eigenvalues of infinite multiplicity for the Schrödinger operator

Published online by Cambridge University Press:  14 November 2011

Christine R. Thurlow  and
Michael S.P. Eastham
Christine R. Thurlow
Affiliation:
St. Hilda's College, Oxford†
Michael S.P. Eastham
Affiliation:
Chelsea College, University of London
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Synopsis

It is shown that eigenvalues of infinite multiplicity can exist for the Schrödinger equation holding in the whole N-dimensional space RN(N ≧ 2). In the example which is constructed, the potential is separable and bounded in RN, and the method is an application of inverse spectral theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 61 - 64
Copyright
Copyright © Royal Society of Edinburgh 1980

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