Geodesic
Energy level shifts and transition probabilities in a relativistic atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 388-399

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In the framework of perturbation theory, a method is proposed for calculating the energy levels and transition probabilities in a relativistic atom based on reduction of the quasipotential equation to an equivalent Sehrödinger equation with an effective potential. The effective potential and effective photon emission vertex are found in the two lowest orders. 
@article{TMF_1984_59_3_a5,
     author = {M. A. Braun},
     title = {Energy level shifts and transition probabilities in a relativistic atom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {388--399},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a5/}
}
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M. A. Braun. Energy level shifts and transition probabilities in a relativistic atom. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 388-399. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a5/