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A new estimate on the indirect Coulomb energy
Author(s) -
Benguria Rafael D.,
Bley Gonzalo A.,
Loss Michael
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.23148
Subject(s) - coulomb , energy (signal processing) , physics , statistical physics , computational chemistry , chemistry , quantum mechanics , electron
Here we prove a new lower bound on the indirect Coulomb energy in quantum mechanics, in terms of the single particle density of the system. The new universal lower bound is an alternative to the classical Lieb–Oxford bound (with a smaller constant, C = 1.45 < C LO = 1.68) but involving an additive kinetic energy term of the single particle density as well. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012