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Dokumenttyp:
Zeitschriftenaufsatz 
Autor(en):
Cotar, C., Friesecke, G., and Klüppelberg, C. 
Titel:
Density functional theory and and optimal transportation with Coulomb cost 
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 co...    »
 
Stichworte:
density functional theory, exchange-correlation functional, optimal transport 
Zeitschriftentitel:
Communications on Pure and Applied Mathematics 
Jahr:
2013 
Band / Volume:
66 
Heft / Issue:
Seitenangaben Beitrag:
548-599 
Reviewed:
ja 
Sprache:
en 
Status:
Postprint / reviewed 
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik 
Format:
Text