Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation

Abstract

With the aid of a modified similarity transformation me have obtained exact energy eigenvalues of the generalized Dirac-Coulomb equation. This equation consists of the time component of the Lorentz 4-vector potential V(v)(tau) = -A(1)/tau, and a Lorentz scalar potential V(s)(tau) = -A(2)/tau. The transformed radial equations are so simple that their solutions are inferred from the conventional solutions of the Schrodinger-Coulomb equation.