A PERTURBATIVE APPROACH TO THE THOMAS-FERMI EQUATION IN TERMS OF THE DENSITY

Authors
CEDILLO A
Citation
A. Cedillo, A PERTURBATIVE APPROACH TO THE THOMAS-FERMI EQUATION IN TERMS OF THE DENSITY, Journal of mathematical physics, 34(7), 1993, pp. 2713-2717
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
7
Year of publication
1993
Pages
2713 - 2717
Database
ISI
SICI code
0022-2488(1993)34:7<2713:APATTT>2.0.ZU;2-L
Abstract
A fast and absolute converging sequence, for the Thomas-Fermi (TF) ini tial slope, was obtained by applying a perturbative approach [C. M. Be nder et al., J. Math. Phys. 30, 1447 (1989)] to the TF equation writte n in terms of the electronic density. By this procedure the truncated series does not alternate, in contrast to a previous work [B. J. Laure nzi, J. Math Phys. 31, 2535 (1990)] based in the traditional TF equati on.