Accepted Paper

Inserted: 16 feb 2017
Last Updated: 3 aug 2021

Journal: J. Éc. polytech. Math.
Volume: 4
Pages: 909-934
Year: 2017

Abstract:

We present some progress in the direction of determining the semiclassical limit of the Hoenberg-Kohn universal functional in Density Functional Theory for Coulomb systems. In particular we give a proof of the fact that for Bosonic systems with an arbitrary number of particles the limit is the multimarginal optimal transport problem with Coulomb cost and that the same holds for Fermionic systems with 2 or 3 particles. Comparisons with previous results are reported . The approach is based on some techniques from the optimal transportation theory.

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