Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation
Abstract
With the aid of a modified similarity transformation we obtained exact energy eigenvalues of the generalized Dirac-Coulomb equation. This equation consists of the time component of the Lorentz 4-vector potential Vv(r)=-A1/r, and a Lorentz scalar potential Vs(r)=-A2/r. The transformed radial equations are so simple that their solutions are inferred from the conventional solutions of the Schrodinger equation.
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