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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
Affiliation:
St. Hilda's College, Oxford†
Michael S.P. Eastham
Affiliation:
Chelsea College, University of London

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
Copyright
Copyright © Royal Society of Edinburgh 1980

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