The Feynman Representation for the Dirac Propagator with a Radially Symmetric Potential

Abstract

The dynamical group associated with the Dirac equation with a radially symmetric potential in four space-time dimensions is represented in terms of integrals with respect to operator valued set functions associated with the free Dirac operator. In coordinates in which $c=\hslash =1$, the class of potentials treated includes Coulomb potentials $-a/r$ with $|a|<1$.