Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-16
Ann.Phys.320:453,2005; Erratum-ibid.321:1524-1525,2006
Physics
High Energy Physics
High Energy Physics - Theory
This is a modified version of the manuscript hep-th/0501004 rewritten in the conventional relativistic units, $\hbar$ = c = 1.
Scientific paper
10.1016/j.aop.2005.07.001
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, $\hbar$ = c = 1, are used.
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