Eigenvalues in gaps of perturbed periodic Dirac operators: numerical evidence

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 2002. Eigenvalues in gaps of perturbed periodic Dirac operators: numerical evidence. Journal of Computational and Applied Mathematics 148 (1) , pp. 169-181. 10.1016/S0377-0427(02)00580-0

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Abstract

This paper presents a method for the numerical investigation of the distribution of the eigenvalues introduced into a spectral gap of a periodic Dirac system by a perturbation of the type of the angular momentum term. A number of examples illustrate the effectiveness of the method and show the remarkable accuracy of the strong coupling asymptotic formula even for small values of the perturbation coupling constant. Furthermore, the results shed some light on the spectrum in the exceptional gap of radially periodic three-dimensional Dirac operators.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Computational spectral theory; Dirac operators; Gap eigenvalues
Additional Information:	On the occasion of the 65th birthday of Prof. Michael Eastham
Publisher:	Elsevier
ISSN:	0377-0427
Last Modified:	20 Oct 2022 07:49
URI:	https://orca.cardiff.ac.uk/id/eprint/26491

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