  This paper deals with the relativistic, quantized electromagnetic and Dirac
field equations in the arena of discrete phase space and continuous time. The
mathematical formulation involves partial difference equations. In the
consequent relativistic quantum electrodynamics, the corresponding Feynman
diagrams and S#-matrix elements are derived. In the special case of
electron-electron scattering (Moller scattering), the explicit second order
element <f|S#(2)|i> is deduced. Moreover, assuming the slow motions for two
external electrons, the approximation of <f|S#(2)|i> yields a divergence-free
Coulomb potential.
