2005/01/01 by A. D. Alhaidari · 1 citation
Physics and Astronomy · #Crystallography and Radiation Phenomena #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1016/j.aop.2005.07.001
published as Ann.Phys.320:453,2005; Erratum-ibid.321:1524-1525,2006 · This 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
arxiv created 2005/01/16 · openalex publication_date 2005/09/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We 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, ℏ = c = 1, are used.