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- W4297424922 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." @default.
- W4297424922 created "2022-09-28" @default.
- W4297424922 creator A5060310865 @default.
- W4297424922 date "2017-06-07" @default.
- W4297424922 modified "2023-09-23" @default.
- W4297424922 title "Semi-classical limit of the Levy-Lieb functional in Density Functional Theory" @default.
- W4297424922 doi "https://doi.org/10.48550/arxiv.1706.02199" @default.
- W4297424922 hasPublicationYear "2017" @default.
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