Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence
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Publication:1860440
DOI10.1016/S0377-0427(02)00580-0zbMath1019.65057MaRDI QIDQ1860440
Publication date: 23 February 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (2)
On the dense point and absolutely continuous spectrum for Hamiltonians with concentric \(\delta\) shells ⋮ Exceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment
Cites Work
- On the essential spectrum of Schrödinger operators with spherically symmetric potentials
- Spectral theory of ordinary differential operators
- Welsh eigenvalues of radially periodic Schrödinger operators
- On the essential spectrum of Dirac operators with spherically symmetric potentials
- Relative oscillation -- non-oscillation criteria for perturbed periodic Dirac systems
- Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
- Intervals of Dense Point Spectrum for Spherically Symmetric Schrödinger Operators of the Type −δ+cos|x |
- Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrödinger operators in the plane
- Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit
- Dense point spectrum and absolutely continuous spectrum in spherically symmetric Dirac operators
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