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Document type:
Zeitschriftenaufsatz 
Author(s):
Cotar, C., Friesecke, G., and Klüppelberg, C. 
Title:
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...    »
 
Keywords:
density functional theory, exchange-correlation functional, optimal transport 
Journal title:
Communications on Pure and Applied Mathematics 
Year:
2013 
Journal volume:
66 
Journal issue:
Pages contribution:
548-599 
Reviewed:
ja 
Language:
en 
Status:
Postprint / reviewed 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text