Density-functional approach to relativistic charge expansion theory

In a recent paper, Weiss and Kim [Phys. Rev. A 51, 4487 (1995)] have discussed the effects of relativistic corrections on the large atomic number Z behavior of the 1/Z expansion. Contact is established here between their study and the simplest version of density-functional theory in the large Z limit, namely, the Thomas-Fermi theory. It is emphasized that this simple density-functional theory sums subseries of the original 1/Z expansion to all orders in the nonrelativistic case. Relativistic corrections to this density-functional theory are also discussed