Simple way to extract solutions and features of the Dirac equation for a noncentral potentials

摘要

The main purpose of the present study is to explore the classes of the Schrodinger-like wave equations derived from Dirac equation, for which the similarity transformation and asymptotic iteration algorithms can assist in generating second-order differential equation that admit general exact solutions in the presence of nonsymmetrical potential terms. For illustration purposes, we extract the exact bound-state solutions of the Dirac equation with the noncentral Hartmann potential for the cases of exact SU(2) spin and pseudospin symmetries. Also, we have shown that both Dirac radialand Dirac-polar parts are sensitive to the variation of the involved parameters.