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The existence of eigenvalues of infinite multiplicity for the Schrödinger operator
Published online by Cambridge University Press: 14 November 2011
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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