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The Stability of Matter: From Atoms to Stars pp 329–355Cite as

The Positivity of the Pressure in Thomas Fermi Theory

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Abstract

We prove the positivity of the pressure and compressibility for neutral systems in the Thomas-Fermi theory of molecules. Our results include some new properties of the Thomas-Fermi potential and a proof that the kinetic energy is superadditive.

Work partially supported by U.S. National Science Foundation grant MCS 75-21684 A02

On leave from Department of Physics, Universidad de Chile, Santiago, Chile

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Author information

Authors and Affiliations

  1. Department of Physics, Princeton University, Princeton, New Jersey, 08 540, USA

    R. Benguria

  2. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, 08 540, USA

    E. H. Lieb

Authors
  1. R. Benguria
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  2. E. H. Lieb
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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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Benguria, R., Lieb, E.H. (2005). The Positivity of the Pressure in Thomas Fermi Theory. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27056-6_24

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  • DOI: https://doi.org/10.1007/3-540-27056-6_24

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22212-5

  • Online ISBN: 978-3-540-27056-0

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