Abstract
Starting from the Dirac-Breit equation in the Weyl representation, eliminating all components with at least one dotted index and omitting the resulting higher powers of the Breit operator, one obtains a new, four-component “Kramers-type” equation for two charged spinor particles in external fields. Alternatively, the equation is derived from the QEDS-matrix including external potentials, using a two time formalism and eliminating the relative time. It has the usual factorizing orbital solutions in the limit of very large external fields, and reduces to the modern “effective onebody” equations with relativistic two-body kinematics for binary atoms in the limit of vanishing external fields. The application to helium-like Rydberg states is mentioned.
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