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

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arXiv · hep-th/0612199

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

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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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Tamar T. Khachidze, Anzor A. Khelashvili. 2006-12-22. Algebraic derivation of spectrum of the Dirac Hamiltonian for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials. https://arxiv.org/abs/hep-th/0612199

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