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 ∫ ρ (x) 4/3 dx, where ρ 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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© 1991 Springer-Verlag Berlin Heidelberg
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Oxford, S., Lieb, E.H. (1991). Improved Lower Bound on the Indirect Coulomb Energy. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02725-7_4
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DOI: https://doi.org/10.1007/978-3-662-02725-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02727-1
Online ISBN: 978-3-662-02725-7
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