Calculus of Variations and Geometric Measure Theory

M. Colombo - S. Di Marino - F. Stra

First order expansion in the semiclassical limit of the Levy-Lieb functional

created by dimarino on 16 Jun 2021



Inserted: 16 jun 2021

Year: 2021

ArXiv: 2106.06282 PDF


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.