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

Understand

A supersymmetric analysis is presented for the d-dimensional Dirac equation with central potentials under spin-symmetric (S(r) = V(r)) and pseudo-spin-symmetric (S(r) = - V(r)) 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.