The Dirac-Coulomb Problem for the -Poincare Quantum Group

Abstract

The recently introduced -Poincare-Dirac equation is gauged to treat the -Dirac-Coulomb problem. For the resulting equation, we prove that the perturbation to first order in the quantum group parameter vanishes identically. The second order perturbation is singular, but assuming a heuristic cut-off allows a qualitative estimate of the quantum group parameter.

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