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

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.

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Cited by in corpus (1)

• Universal Functionals in Density Functional Theory