On the spectral properties of the Brown-Ravenhall operator

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2002. On the spectral properties of the Brown-Ravenhall operator. Journal of Computational and Applied Mathematics 148 (1) , pp. 239-255. 10.1016/S0377-0427(02)00583-6

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Abstract

The Brown–Ravenhall operator describes an electron under a Coulomb force and subject to relativity and is defined in terms of the associated Dirac operator and the projection onto the positive spectral subspace of the free Dirac operator. For a specific optimal charge range it is known to be positive. The paper investigates the following properties of the angular momentum channels: the optimal charge range for positivity, the location and nature of the spectrum and the existence of embedded eigenvalues.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Brown–Ravenhall operator; Virial theorem; Essential spectra; Eigenvalues
Publisher:	Elsevier
ISSN:	0377-0427
Last Modified:	21 Oct 2022 09:36
URI:	https://orca.cardiff.ac.uk/id/eprint/37053

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