Abstract
The path to accurate relativistic atomic structure calculations is lined with several points of interest or danger. Much of the non-relativistic many-body perturbation theory formalism, including the "coupled-cluster approach", can be taken over, but certain problems, such as the choice of electron-electron interaction, the need for projection operators and an apparent gauge dependence, must be dealt with. Results for the ground state energy of beryllium and also 21,3P-21So transition energies in beryllium-like Fe and Mo are presented as examples, where the accuracy is such that the calculation of QED effects in many-electron systems might be tested. In addition, the application to the study of additional perturbations in alkali-like system is discussed.
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