Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence
type: Item
instance of: scholarly article
title: Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence
zbMATH Open document ID: 1019.65057
DOI: 10.1016/S0377-0427(02)00580-0
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: The spectrum of a periodic Dirac system shows characteristic gaps. A perturbation of the system leads to the emergence of eigenvalues in these gaps. The author presents a numerical method for studying the distribution of the eigenvalues introduced by a perturbation of angular momentum type. The method is based on reducing the problem to the determination of the half-plane number of certain Prüfer angles and is applied to a number of concrete examples.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L16
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1872880
zbMATH Keywords: Dirac operator
zbMATH Keywords: eigenvalue
zbMATH Keywords: spectral gap
zbMATH Keywords: computational spectral theory
zbMATH Keywords: spectrum
zbMATH Keywords: periodic Dirac system
author: Karl Michael Schmidt
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1872880