The Dirac-Coulomb Problem for the $\hat{I}º$-Poincare Quantum Group

Abstract

The recently introduced $\hat{I}º$-Poincare-Dirac equation is gauged to treat the $\hat{I}º$-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.

7 pages, LaTeX, special style file `eqpersec.sty' included separately, DUKE-TH-93-59