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Title:

Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional

Document type:
Zeitungsartikel
Author(s):
Cotar, C., Friesecke, G., and Klüppelberg, C.
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
Dewey Decimal Classification:
510 Mathematik
Journal title:
Archive for Rational Mechanics and Analysis
Year:
2018
Journal volume:
228
Year / month:
2018-02
Quarter:
1. Quartal
Month:
Feb
Journal issue:
3
Pages contribution:
891–922
Language:
en
Fulltext / DOI:
doi:10.1007/s00205-017-1208-y
WWW:
Springer
Publisher:
Springer
Publisher address:
Berlin Heidelberg
Print-ISSN:
0003-9527
E-ISSN:
1432-0673
Status:
Erstveröffentlichung
Submitted:
18.06.2017
Date of publication:
20.02.2018
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
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