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Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential
Published online by Cambridge University Press: 14 November 2011
Abstract
For the one-dimensional Dirac operator, examples of electrostatic potentials with decay behaviour arbitrarily close to Coulomb decay are constructed for which the operator has a prescribed set of eigenvalues dense in the whole or part of its essential spectrum. A simple proof that the essential spectrum of one-dimensional Dirac operators with electrostatic potentials is never empty is given in the appendix.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 5 , 1996 , pp. 1087 - 1096
- Copyright
- Copyright © Royal Society of Edinburgh 1996
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