Analytical solution of the Thomas-Fermi equation for atoms

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 $0\le x\le 50$, and its derivative at $x=0$. 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.

arXiv commentRevtex, 4 pages, 2 figures

Cited by in corpus (1)

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