Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions

A supersymmetric analysis is presented for the d-dimensional Dirac equation with central potentials under spin-symmetric (S® = V®) and pseudo-spin-symmetric (S® = - V®) regimes. We construct the explicit shift operators that are required to factorize the Dirac Hamiltonian with the Kratzer potential. Exact solutions are provided for both the Coulomb and Kratzer potentials.