Inst High Energy Phys, Beijing 100039, Peoples R China
; Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
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 axe 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 axe obtained analytically. The energy levels and the corresponding fine structure axe also presented.