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

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 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:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	The Royal Society of Edinburgh
ISSN:	0308-2105
Last Modified:	21 Oct 2022 09:06
URI:	https://orca.cardiff.ac.uk/id/eprint/35306

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