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

Omar Mustafa·Thabit Barakat
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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 V_v(r)=-A_1/r, and a Lorentz scalar potential V_s(r)=-A_2/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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Omar Mustafa, Thabit Barakat. 1999-10-19. Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation. https://arxiv.org/abs/math-ph/9910030

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