Reduction of Relativistic Two-Particle Wave Equations to Approximate Forms. III

Abstract

The interaction between two fermions of charge ${\ensuremath{\epsilon}}_{\mathrm{I}}$ and ${\ensuremath{\epsilon}}_{\mathrm{II}}$ and intrinsic magnetic moment ${\ensuremath{\mu}}_{\mathrm{I}}$ and ${\ensuremath{\mu}}_{\mathrm{II}}$ is described by a sixteen-component wave equation of the Breit type. The method of reduction of two-particle wave equations, as given in two previous papers by Chraplyvy, is used to convert this equation to an approximate four-component Pauli equation. A simple perturbation calculation is used to determine the contribution of the intrinsic magnetic moments to the fine and hyperfine structure of hydrogen and positronium.