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Optimized Lieb-Oxford bound for the exchange-correlation energy

Chan, Garnet Kin-Lic and Handy, Nicholas C. (1999) Optimized Lieb-Oxford bound for the exchange-correlation energy. Physical Review A, 59 (4). pp. 3075-3077. ISSN 1050-2947. doi:10.1103/PhysRevA.59.3075. https://resolver.caltech.edu/CaltechAUTHORS:20160715-141302677

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Abstract

Using the ideas of Lieb and Oxford [Int. J. Quantum Chem. 19, 427 (19810], we show that the exchange-correlation energy, and indirect part of the Coulomb energy, are bounded from below by -1.6358∫ρ^(4/3) (x)dx, where ρ(x) is the single-particle density.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.59.3075DOIArticle
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.59.3075PublisherArticle
ORCID:
AuthorORCID
Chan, Garnet Kin-Lic0000-0001-8009-6038
Additional Information:© 1999 American Physical Society Received 14 September 1998 G.K.-L.C. acknowledges Subrown Daitou and Romanos Daniel for useful discussions, and Aron J. Cohen for helping us produce Fig. 2.
Issue or Number:4
Classification Code:PACS 31.15.Ew, 71.15.Mb
DOI:10.1103/PhysRevA.59.3075
Record Number:CaltechAUTHORS:20160715-141302677
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160715-141302677
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69066
Collection:CaltechAUTHORS
Deposited By: Donna Wrublewski
Deposited On:22 Jul 2016 22:38
Last Modified:11 Nov 2021 04:08

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