Exact solutions to the Dirac equation for a Coulomb potential in $D+1$ dimensions

Abstract

The Dirac equation is generalized to $D+1$ space-time.The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd $D$ and even $D$ cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.

12 pages, no figure, RevTex, Accepted by Inter.J.Mod.Phys.E

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