Convergence of Levy–Lieb to Thomas–Fermi density functional

@article{Gottschling2018ConvergenceOL,
title={Convergence of Levy–Lieb to Thomas–Fermi density functional},
author={Nina Gottschling and P. Nam},
journal={Calculus of Variations and Partial Differential Equations},
year={2018},
volume={57},
pages={1-13}
}

Calculus of Variations and Partial Differential Equations

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.