On the contribution of the Coulomb singularity of arbitrary charge to the Dirac Hamiltonian

DOI10.1090/S0002-9947-99-02084-XzbMath0919.47002MaRDI QIDQ4235620

Jingbo Xia

Publication date: 22 March 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrumDirac operatorelectrical potentialmagnetic potentialCoulomb singularityHilbert-Schmidt perturbation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (9)

Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials ⋮ Discrete spectra for critical Dirac-Coulomb Hamiltonians ⋮ Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations ⋮ On the spectrum of magnetic Dirac operators with Coulomb-type perturbations ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei ⋮ Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies ⋮ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identification de la non-linearite d'une équation parabolique quasilineaire
• Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials
• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• A limit-point criterion for separated Dirac operators and a little known result on Riccati's equation
• Distinguished selfadjoint extensions of Dirac operators
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS (III)

This page was built for publication: On the contribution of the Coulomb singularity of arbitrary charge to the Dirac Hamiltonian