Dirac Hamiltonian with Coulomb potential and spherically symmetric shell contact interactiona)
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Publication:4027894
DOI10.1063/1.529641zbMath0761.35071OpenAlexW2058864922MaRDI QIDQ4027894
Jaroslav Dittrich, Pavel Exner, Petr Šeba
Publication date: 9 March 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529641
Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (13)
Exactly solvable models of δ′-sphere interactions in nonrelativistic quantum mechanics ⋮ A note on a series of papers on relativistic δ-sphere interactions in quantum mechanics published by M. N. Hounkonnou and G. Y. H. Avossevou in the Journal of Mathematical Physics ⋮ Hyperspherical \(\delta\)-\(\delta'\) potentials ⋮ Relativistic point interaction with Coulomb potential in one dimension ⋮ Scattering theory for finitely many sphere interactions supported by concentric spheres ⋮ On self-adjoint extensions and symmetries in quantum mechanics ⋮ Relativistic scattering theory for a δ sphere plus a Coulomb interaction with boundary conditions of second type ⋮ Exactly solvable models of δ′-sphere interactions in relativistic quantum mechanics ⋮ Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres ⋮ Scattering theory for \(2N\) parameter models of finitely many relativistic \(\delta\)-sphere and \(\delta\)-sphere plus Coulomb interactions supported by concentric spheres in quantum mechanics ⋮ Spectral and resonance properties of δ- and δ′-type interactions in relativistic quantum mechanics ⋮ Self-adjointness and spectral properties of Dirac operators with magnetic links ⋮ Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities
Cites Work
- Trapping and cascading of eigenvalues in the large coupling limit
- Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
- Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
- Die zulässigen Randbedingungen bei den singulären Eigenwertproblemen der mathematischen Physik. (Gewöhnliche Differentialgleichungen zweiter Ordnung.)
- Exact solutions of the Dirac equation with surface delta interactions
- Dirac operators with a spherically symmetric δ-shell interaction
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