Self-adjoint extensions of Dirac operators with Coulomb type singularity

DOI10.1063/1.4798804zbMath1281.81031arXiv1211.5476OpenAlexW2104711982MaRDI QIDQ5397816

Javier Duoandikoetxea, Naiara Arrizabalaga, Luis Vega

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5476

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (16)

Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials ⋮ Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions ⋮ Discrete spectra for critical Dirac-Coulomb Hamiltonians ⋮ Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)] ⋮ Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics ⋮ The 4D Dirac Equation in Five Dimensions ⋮ Point-particle effective field theory I: classical renormalization and the inverse-square potential ⋮ Distinguished self-adjoint extension of the two-body Dirac operator with Coulomb interaction ⋮ Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations ⋮ Essential self-adjointness of symmetric first-order differential systems and confinement of Dirac particles on bounded domains in \({\mathbb{R}}^d\) ⋮ Pohozaev identity and virial theorem for the Dirac-Coulomb operator ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei ⋮ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator ⋮ Domains for Dirac-Coulomb min-max levels ⋮ Dirac-Coulomb operators with general charge distribution. I: Distinguished extension and min-max formulas ⋮ The Scott correction in Dirac-Fock theory

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