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

Maria Colombo; Simone Di Marino; Federico Stra

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arXiv · 2106.06282

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

Maria Colombo·Simone Di Marino·Federico Stra

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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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Maria Colombo, Simone Di Marino, Federico Stra. 2021-06-11. First order expansion in the semiclassical limit of the Levy-Lieb functional. https://arxiv.org/abs/2106.06282

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