Corrections to Thomas-Fermi densities at turning points and beyond
Quantum Physics
2015-02-26 v3
Abstract
Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many non-interacting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.
Cite
@article{arxiv.1409.6802,
title = {Corrections to Thomas-Fermi densities at turning points and beyond},
author = {Raphael F. Ribeiro and Donghyung Lee and Attila Cangi and Peter Elliott and Kieron Burke},
journal= {arXiv preprint arXiv:1409.6802},
year = {2015}
}
Comments
5 pages, 5 figures