Abstract
For systems which contain heavy atoms, the non-relativistic quantum mechanics on which almost all contemporary treatments of electron correlation are based, is inadequate because the mean speed of core electrons is a substantial fraction of the speed of light, so that a fully relativistic electronic structure theory is required. The proper treatment of relativity and quantum electrodynamic effects will demand increasing attention in the years ahead, since these may be more important than electron correlation in heavy elements and are thus an essential ingredient of an ab initio electronic structure studies for the lower rows of the Periodic Table. A great deal of research over the past decade has been directed towards the development of a relativistic many-body perturbation theory formulated within the algebraic approximation. Problems of principle have been largely resolved and the remaining problems are primarily of a computational nature.
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Wilson, S. (1992). The Perturbation Theory of Electron Correlation. III. Relativistic Many-Body Perturbation Theory. In: Wilson, S., Diercksen, G.H.F. (eds) Methods in Computational Molecular Physics. NATO ASI Series, vol 293. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7419-4_10
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