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

Abstract

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, $\hslash$ = c = 1, are used.

This is a modified version of the manuscript hep-th/0501004 rewritten in the conventional relativistic units, $\hslash$ = c = 1. Consequently, most of the equations and all results that were previously written in the atomic units $\hslash$ = m =1, are now reformulated in the new units

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• Novel Bound States Treatment of the Two Dimensional Schrodinger Equation with Pseudocentral Plus Multiparameter Noncentral Potential
• Correction to Solution of Dirac Equation
• Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential