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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.

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Authors and Affiliations

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

    R. Benguria

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

    E. H. Lieb

Authors
  1. R. Benguria
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  2. E. H. Lieb
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Additional information

Communicated by J. Glimm

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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Benguria, R., Lieb, E.H. The positivity of the pressure in Thomas Fermi theory. Commun.Math. Phys. 63, 193–218 (1978). https://doi.org/10.1007/BF01196930

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  • DOI: https://doi.org/10.1007/BF01196930

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