Point Coulomb Solutions of the Dirac Equation: Analytical Results Required for the Evaluation of the Bound Electron Propagator in Quantum Electrodynamics

摘要

The bound electron propagator in quantum electrodynamics is reviewed and the Brown and Schaefer angular momentum representation of the propagator discussed. Regular and irregular solutions of the radial Dirac equations for both /E/ or= mc exp 2 are required for the computation of the propagator. Analytical expressions for these solutions, and their corresponding Wronskians, are obtained for a point Coulomb potential. Some computational aspects are discussed in an appendix. (Atomindex citation 10:474541)