Eigenvalues in gaps of perturbed periodic Dirac operators: numerical evidence

Authors:
Karl Michael Schmidt
Affiliations:
School of Mathematics, Cardiff University, 23 Senghennydd Road, Cardiff CF24 4YH, UK
Venue:
Journal of Computational and Applied Mathematics - On the occasion of the 65th birthday of Prof. Michael Eastham
Year:
2002

Citing 1
Cited 1

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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.