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A variational treatment of the Thomas-Fermi-Dirac equation
Journal article

A variational treatment of the Thomas-Fermi-Dirac equation

O. H. Mobarek and A. A. Al-Atas
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, Vol.125(11), pp.1317-1326
01/11/2010
DOI: https://doi.org/10.1393/ncb/i2010-10933-0

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
The atomic properties of some chemical elements are evaluated by means of an approximated solution of the Thomas-Fermi-Dirac equation. The variational principle is used to obtain the approximated solution and the ground-state properties. The results for the energy and the radial expectation values are improved and become closer to Hartree-Fock results.

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