A Derivation of the $Z\to\infty$ Limit for Atoms

Edouard B. Manoukian, Jarin Osaklung

Published 2004-12-14, updated 2007-06-13Version 2

Upper and lower bounds are derived for the ground-state energy of neutral atoms which for $Z\to\infty$ both involve the limits of exact Green's functions with one-body potentials. The limits of both bounds are shown to coincide with the Thomas-Fermi ground-state energy.