Abstract
A procedure for bound-state QED is presented, based upon a covariant form of the time-evolution operator. In contrast to the standard S-matrix formalism, our procedure is applicable also to states that are quasidegenerate. All (quasi)singularities, which appear when an intermediate state is (quasi)degenerate with the initial state, are eliminated. Our procedure is closely related to many-body perturbation theory (MBPT) and may open up possibilities to combine QED and MBPT in a more systematic fashion. The procedure is applied to the fine structure of the heliumlike neon and argon ions, and good agreement is obtained with recent experimental data.
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