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Titel:

Density functional theory and and optimal transportation with Coulomb cost

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Cotar, C., Friesecke, G., and Klüppelberg, C.
Abstract:
We present here novel insight into exchange-correlation functionals in density functional theory, based on the viewpoint of optimal transport. We show that in the case of two electrons and in the semiclassical limit, the exact exchange-correlation functional reduces to a very interesting functional of novel form, which depends on an optimal transport map T associated with a given density ρ. Since the above limit is strongly correlated, the limit functional yields insight into electron correl...     »
Stichworte:
density functional theory, exchange-correlation functional, optimal transport
Zeitschriftentitel:
Communications on Pure and Applied Mathematics
Jahr:
2013
Band / Volume:
66
Heft / Issue:
4
Seitenangaben Beitrag:
548-599
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1002/cpa.21437
Status:
Postprint / reviewed
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
Text
 BibTeX