Summary
The physics of the relativistic many-body problem in both simple and complex few-electron systems is reviewed. Its connection to QED and its limitations are discussed. Examples of application to both simple (2 and 3-electron ions) and complex (Be-like to Ne-like ions) systems are presented. The correlation effects on transition energies and transition rates, as well as their interplay with pure QED effects are described in detail. The case of neutral helium, for which theory lags well behind experiment, is also discussed, as an example of the tighter integration that must be realized between QED and many-body methods, to achieve reliable complete calculations.
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Indelicato, P. (1999). Electron Correlation Effects in Few-Electron Atoms. In: Beyer, H.F., Shevelko, V.P. (eds) Atomic Physics with Heavy Ions. Springer Series on Atoms+Plasmas, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58580-7_4
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