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.