Spherically symmetric dirac operators with variable mass and potentials infinite at infinity

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 and Yamada, Osanobu 1998. Spherically symmetric dirac operators with variable mass and potentials infinite at infinity. Publications Of The Research Institute For Mathematical Sciences 34 (3) , pp. 211-227.

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Abstract

We study the spectrum of spherically symmetric Dirac operators m three-dimensional space with potentials tending to infinity at infinity under weak regularity assumptions. We prove that purely absolutely continuous spectrum covers the whole real line if the potential dominates the mass, or scalar potential, term. In the situation where the potential and the scalar potential are identical, the positive part of the spectrum is purely discrete : we show that the negative half-line is filled with purely absolutely continuous spectrum m this case.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	The Research Institute For Mathematical Sciences
Last Modified:	20 Oct 2022 07:49
URI:	https://orca.cardiff.ac.uk/id/eprint/26483

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