Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence (Q1860440)
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scientific article; zbMATH DE number 1872880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence |
scientific article; zbMATH DE number 1872880 |
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Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence (English)
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23 February 2003
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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.
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Dirac operator
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eigenvalue
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spectral gap
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computational spectral theory
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spectrum
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periodic Dirac system
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0.9264624
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0.9121492
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0.9050244
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0.89949703
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0.89733344
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0.89621603
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