Majorana solution of the Thomas-Fermi equation
Atomic Physics
2009-11-07 v1 High Energy Physics - Phenomenology
Nuclear Theory
General Physics
History and Philosophy of Physics
Abstract
We report on an original method, due to Majorana, leading to a semi-analytical series solution of the Thomas-Fermi equation, with appropriate boundary conditions, in terms of only one quadrature. We also deduce a general formula for such a solution which avoids numerical integration, but is expressed in terms of the roots of a given polynomial equation.
Keywords
Cite
@article{arxiv.physics/0111167,
title = {Majorana solution of the Thomas-Fermi equation},
author = {Salvatore Esposito},
journal= {arXiv preprint arXiv:physics/0111167},
year = {2009}
}
Comments
RevTex, 5 pages, 1 figure