Improved Lower Bound on the Indirect Coulomb Energy

Elliott H. Lieb and Stephen Oxford
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Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics
Stephen Oxford: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 255-267 from Springer

Abstract: Abstract For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce 2/3 f p(x)4/3 dx, where p is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_23

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DOI: 10.1007/978-3-642-55925-9_23

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