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.
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