Convergence of Levy-Lieb to Thomas-Fermi density functional
Mathematical Physics
2018-09-26 v3 math.MP
Abstract
We prove that the Levy-Lieb density functional Gamma-converges to the Thomas-Fermi functional in the semiclassical mean-field limit. In particular, this aides an easy alternative proof of the validity of the atomic Thomas-Fermi theory which was first established by Lieb and Simon.
Keywords
Cite
@article{arxiv.1807.00538,
title = {Convergence of Levy-Lieb to Thomas-Fermi density functional},
author = {Nina Gottschling and Phan Thành Nam},
journal= {arXiv preprint arXiv:1807.00538},
year = {2018}
}
Comments
Revised version to appear on Calculus of Variations and PDE