Analytical solution of the Thomas-Fermi equation for atoms
Atomic Physics
2011-05-13 v2
Abstract
An approximate analytical solution of the Thomas-Fermi equation for neutral atoms is obtained, using the Ritz variational method, which reproduces accurately the numerical solution, in the range , and its derivative at . The proposed solution is used to calculate the total ionization energies of heavy atoms. The obtained results are in good agreement with the Hartree-Fock ones and better than those obtained from previously proposed trial functions by other authors.
Keywords
Cite
@article{arxiv.physics/0511017,
title = {Analytical solution of the Thomas-Fermi equation for atoms},
author = {M. Oulne},
journal= {arXiv preprint arXiv:physics/0511017},
year = {2011}
}
Comments
Revtex, 4 pages, 2 figures