Some Applications of Csavinszkys’ Solution of the T-F Equation

Abstract

In this paper a recent variational solution of the Thomas-Fermi equation for atoms given by Csavinszky is used to calcultate certain physical quantities analytically. The results are compared with those obtained on the basis of the unmodified TF Model and the Tietz approximation. It is shown that Csavinszkys’ solution—in which the density has the right behaviour at large distances—leads to substantial improvement over the usual TF results.