Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials

dc.creatorAlhaidari, A. D.
dc.date2005-01-16
dc.date.accessioned2026-07-07T11:32:22Z
dc.date.available2026-07-07T11:32:22Z
dc.descriptionWe consider the three-dimensional Dirac equation in spherical coordinates with coupling to static electromagnetic potential. The space components of the potential have angular (non-central) dependence such that the Dirac equation is separable in all coordinates. We obtain exact solutions for the case where the potential satisfies the Lorentz gauge fixing condition and its time component is the Coulomb potential. The relativistic energy spectrum and corresponding spinor wavefunctions are obtained. The Aharonov-Bohm and magnetic monopole potentials are included in these solutions. The conventional relativistic units, $\hbar$ = c = 1, are used.
dc.descriptionThis is a modified version of the manuscript hep-th/0501004 rewritten in the conventional relativistic units, $\hbar$ = c = 1. Consequently, most of the equations and all results that were previously written in the atomic units $\hbar$ = m =1, are now reformulated in the new units
dc.identifierhttps://arxiv.org/abs/hep-th/0501122
dc.identifierhttp://arxiv.org/abs/hep-th/0501122
dc.identifierAnn.Phys.320:453,2005; Erratum-ibid.321:1524-1525,2006
dc.identifierdoi:10.1016/j.aop.2005.07.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197575
dc.subjectHigh Energy Physics - Theory
dc.titleSystematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
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