Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials

DOI10.1007/s11005-018-1093-9zbMath1403.81017arXiv1710.08200OpenAlexW3099381980MaRDI QIDQ1630340

Fabio Pizzichillo, Biagio Cassano

Publication date: 10 December 2018

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

Full work available at URL: https://arxiv.org/abs/1710.08200

zbMATH Keywords

Dirac operatorself-adjoint operatorCoulomb potentialHardy inequality

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of operator theory to differential and integral equations (47N20)

Related Items (16)

Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Dirac–Coulomb operators with infinite mass boundary conditions in sectors ⋮ Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Improved Hardy-Rellich inequalities ⋮ Self-adjointness of the 2D Dirac operator with singular interactions supported on star graphs ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Self‐adjointness for the MIT bag model on an unbounded cone ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension ⋮ Revisiting the Rellich inequality ⋮ 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 \({\mathbb{R}}^d\) ⋮ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator ⋮ Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions ⋮ Self-adjointness of two-dimensional Dirac operators on corner domains ⋮ Angular-radial integrability of Coulomb-like potentials in Dirac equations

Uses Software

• DLMF

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