Relativistic corrections to quantum mechanics of Coloumb potential

Question

Systems of charged particles (such as atomic nuclei and electrons) can be described by nonrelativistic quantum mechanics with the Coloumb interaction potential. A fully relativistic description is given by quantum electrodynamics which is much more complex.

Is it possible to expand various quantities in QED as power series in 1/c i.e. around the nonrelativistic approximation? Examples of relevant quantities are:

• Ground state energy of a given set of charged particles
• Excited state energies
• Scattering cross sections of charged particles & their bound states (assuming we trace over the photons in the final state)

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Comments

Yes, it's possible. Look Breit equation, for example: http://en.wikipedia.org/wiki/Breit_equation

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Valdimir, as your comment is providing an answer, could you post it as an answer?

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