First order expansion in the semiclassical limit of the Levy-Lieb functional
Analysis of PDEs
2021-06-14 v1 Mathematical Physics
math.MP
Abstract
We prove the conjectured first order expansion of the Levy-Lieb functional in the semiclassical limit, arising from Density Functional Theory (DFT). This is accomplished by interpreting the problem as the singular perturbation of an Optimal Transport problem via a Dirichlet penalization.
Keywords
Cite
@article{arxiv.2106.06282,
title = {First order expansion in the semiclassical limit of the Levy-Lieb functional},
author = {Maria Colombo and Simone Di Marino and Federico Stra},
journal= {arXiv preprint arXiv:2106.06282},
year = {2021}
}