A new look at Thomas-Fermi Theory
Mathematical Physics
2016-01-05 v1 math.MP
Chemical Physics
Abstract
In this short note we argue that Thomas-Fermi Theory the simplest of all density functional theories, although failing to explain features such as binding or stability of negative ions, is surprisingly accurate in estimating sizes of atoms. We give both numerical, experimental and rigorous mathematical evidence for this claim. Motivated by this we formulate two new mathematical conjectures on the exactness of Thomas-Fermi Theory.
Keywords
Cite
@article{arxiv.1601.00497,
title = {A new look at Thomas-Fermi Theory},
author = {Jan Philip Solovej},
journal= {arXiv preprint arXiv:1601.00497},
year = {2016}
}
Comments
8 pages. Submitted version. Molecular Physics. Published online 30 Dec. 2015