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Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential

Schmidt, Karl Michael 1996. Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential. Proceedings of the Royal Society of Edinburgh, Section: A Mathematics 126 (5) , pp. 1087-1096. 10.1017/S0308210500023271

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: The Royal Society of Edinburgh
ISSN: 0308-2105
Last Modified: 05 Jun 2017 03:32
URI: http://orca.cf.ac.uk/id/eprint/35306

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