Relativistic energy eigenvalues for the Dirac equation in the presence of vector and scalar potentials via the simple similarity transformation

Based on the simple similarity transformation, we were able to transform the Dirac equation whose potential contains vector V(r) = -A/ r + B(1)r and scalar S(r) = B(2)r types into a form nearly identical to the Schrodinger equation. The transformed equation is so simple that one can solve it by means of the asymptotic iteration method. Moreover, within the same framework we were able to obtain the relativistic energy eigenvalues for the Dirac equation with vector Coulomb plus scalar linear, and with pure scalar linear potentials; V(r) = -A/r, S(r) = B(2)r, and V(r) = 0, S(r) = B(2)r, respectively.