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arxiv: math-ph/9910030 · v1 · submitted 1999-10-19 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords equationdirac-coulombeigenvaluesenergyexactgeneralizedlorentzmodified
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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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