Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

0504697 - ÚJF 2020 RIV US eng J - Článek v odborném periodiku
Cassano, Biagio - Pizzichillo, F.
Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations.
Journal of Mathematical Physics. Roč. 60, č. 4 (2019), č. článku 041502. ISSN 0022-2488. E-ISSN 1089-7658
Grant CEP: GA ČR GA17-01706S
Institucionální podpora: RVO:61389005
Klíčová slova: Dirac operator * symmetry * symmetric perturbations
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 1.317, rok: 2019
Způsob publikování: Omezený přístup
https://doi.org/10.1063/1.5063986

We determine explicitly a boundary triple for the Dirac operator H := i alpha (dot) nabla + m beta + V(x) in R-3, for m (in) R and V(x) = (abs x)- -1 (v I_4 + mu beta - i delta alpha (dot) x/(abs x)beta), with v, mu, delta (in) R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When sup_x(abs x abs V(x)) inequality 1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form.
Trvalý link: http://hdl.handle.net/11104/0296276