The Dirac-Coulomb Problem for the κ-Poincare Quantum Group
L. C. Biedenharn, B. Mueller, M. Tarlini
Abstract
The recently introduced κ-Poincare-Dirac equation is gauged to treat the κ-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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