Solution of the Thomas-Fermi Model with Quantum Corrections

Abstract

A new and more accurate numerical solution has been obtained to the differential equation which determines the first-order quantum-mechanical corrections to the Thomas-Fermi model of the atom. When used to calculate the diamagnetic susceptibility and atomic polarizability of the inert gases, it leads to a substantial improvement over the Thomas-Fermi model alone, and hence lends support to the validity of the quantum-mechanical corrections.