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arXiv · 1706.02199

Semi-classical limit of the Levy-Lieb functional in Density Functional Theory

Mathieu Lewin
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Abstract

In a recent work, Bindini and De Pascale have introduced a regularization of $N$-particle symmetric probabilities which preserves their one-particle marginals. In this short note, we extend their construction to mixed quantum fermionic states. This enables us to prove the convergence of the Levy-Lieb functional in Density Functional Theory , to the corresponding multi-marginal optimal transport in the semi-classical limit. Our result holds for mixed states of any particle number $N$, with or without spin.

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Mathieu Lewin. 2017-06-07. Semi-classical limit of the Levy-Lieb functional in Density Functional Theory. https://arxiv.org/abs/1706.02199

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