Accurate calculation of the solutions to the Thomas-Fermi equations
Quantum Physics
2014-01-21 v2
Abstract
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Pad\'e-Hankel method, numerical integration, power series with Pad\'e and Hermite-Pad\'e approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.
Keywords
Cite
@article{arxiv.1205.1704,
title = {Accurate calculation of the solutions to the Thomas-Fermi equations},
author = {Paolo Amore and John P. Boyd and Francisco M. Fernández},
journal= {arXiv preprint arXiv:1205.1704},
year = {2014}
}