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Document type:
Zeitungsartikel 
Author(s):
Cotar, C., Friesecke, G., and Klüppelberg, C. 
Title:
Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional 
Abstract:
We prove rigorously that the exact N-electron Hohenberg-Kohn density functional converges in the strongly interacting limit to the strictly correlated electrons (SCE) functional, and that the absolute value squared of the associated constrained-search wavefunction tends weakly in the sense of probability measures to a minimizer of the multi-marginal optimal transport problem with Coulomb cost associated to the SCE functional. This extends our previous work for N = 2 [CFK11]. The correct limit pr...    »
 
Keywords:
density functional theory, exchange-correlation functional, optimal transport 
Journal title:
Archive for Rational Mechanics and Analysis 
Year:
2017 
Year / month:
2017-06 
Quarter:
2. Quartal 
Month:
Jun 
Language:
en 
WWW:
Publisher:
Springer 
Publisher address:
Berlin Heidelberg 
Print-ISSN:
0003-9527 
E-ISSN:
1432-0673 
Status:
Erstveröffentlichung 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text