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.
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© 2002 Springer-Verlag Berlin Heidelberg
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Lieb, E.H., Oxford, S. (2002). Improved Lower Bound on the Indirect Coulomb Energy. In: Loss, M., Ruskai, M.B. (eds) Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55925-9_23
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DOI: https://doi.org/10.1007/978-3-642-55925-9_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62758-3
Online ISBN: 978-3-642-55925-9
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