Supercharge Operator of Hidden Symmetry in the Dirac Equation
| dc.creator | Khachidze, Tamari~T. | |
| dc.creator | Khelashvili, Anzor~A. | |
| dc.date | 2006-02-18 | |
| dc.date.accessioned | 2026-07-07T12:30:39Z | |
| dc.date.available | 2026-07-07T12:30:39Z | |
| dc.description | As is known, the so-called Dirac $K$-operator commutes with the Dirac Hamiltonian for arbitrary central potential $V(r)$. Therefore the spectrum is degenerate with respect to two signs of its eigenvalues. This degeneracy may be described by some operator, which anticommutes with $K$. If this operator commutes with the Dirac Hamiltonian at the same time, then it establishes new symmetry, which is Witten's supersymmetry. We construct the general anticommuting with $K$ operator, which under the requirement of this symmetry unambiguously select the Coulomb potential. In this particular case our operator coincides with that, introduced by Johnson and Lippmann many years ago. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0602181 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0602181 | |
| dc.identifier | GESJ Phys.1:88-97,2006; AIP Conf.Proc.881:279-284,2007 | |
| dc.identifier | doi:10.1063/1.2435304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216196 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Supercharge Operator of Hidden Symmetry in the Dirac Equation | |
| dc.type | text |