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On the spectral properties of the Brown-Ravenhall operator

Balinsky, Alexander ORCID: 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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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: 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

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