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Algebraic derivation of spectrum of the Dirac Hamiltonian for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials

Tamar T. Khachidze, Anzor A. Khelashvili

hep-tharXiv:hep-th/0612199

Abstract

Spectrum of the Dirac Equation is obtained algebraically for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials using the Witten's Superalgebra approach. The result coincides with that, known from the explicit solution of Dirac equation.

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