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Improved Lower Bound on the Indirect Coulomb Energy

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The Stability of Matter: From Atoms to Stars

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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.

Work partially supported by U.S. National Science Foundation Grant No. PHY-7825390 A01

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Author information

Authors and Affiliations

  1. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, 08544, USA

    Elliott H. Lieb & Stephen Oxford

Authors
  1. Elliott H. Lieb
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  2. Stephen Oxford
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Walter Thirring

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© 2005 Springer-Verlag Berlin Heidelberg New York

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Lieb, E.H., Oxford, S. (2005). 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/10.1007/3-540-27056-6_4

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  • DOI: https://doi.org/10.1007/3-540-27056-6_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22212-5

  • Online ISBN: 978-3-540-27056-0

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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