Self-Adjoint Extensions of Dirac Operator with Coulomb Potential

DOI10.1007/978-3-319-58904-6_10zbMath1374.81055arXiv1710.02069OpenAlexW3209027713MaRDI QIDQ4593654

Matteo Gallone

Publication date: 22 November 2017

Published in: Advances in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02069

zbMATH Keywords

self-adjoint extensionsDirac-Coulomb operatordistinguished self-adjoint extensionvon Neumann extension theory

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (10)

Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Dirac–Coulomb operators with infinite mass boundary conditions in sectors ⋮ Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials ⋮ Discrete spectra for critical Dirac-Coulomb Hamiltonians ⋮ Creation rate of Dirac particles at a point source ⋮ Distinguished self-adjoint extension of the two-body Dirac operator with Coulomb interaction ⋮ Hydrogenoid spectra with central perturbations ⋮ Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension ⋮ Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei

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