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The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules

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The Stability of Matter: From Atoms to Stars

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Abstract

We place the Thomas—Fermi—von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas—Fermi—von Weizsäcker equation as well as the fact that they minimize the Thomas—Fermi—von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.

Research supported by U. S. National Science Foundation under Grants MCS78-20455 (R. B.), PHY-7825390 A 01 (H. B. and E. L.), and Army Research Grant DAH 29-78-6-0127 (H. B.)

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Authors and Affiliations

  1. The Rockefeller University, New York, NY, 10021, USA

    Rafael Benguria

  2. Universidad de Chile, Santiago, Chile

    Rafael Benguria

  3. Département de Mathématiques, Université Paris VI, F-75230, Paris Cedex 05, France

    Haim Brezis

  4. Departments of Mathematics and Physics, Princeton University, Princeton, NJ, 08544, USA

    Elliott H. Lieb

Authors
  1. Rafael Benguria
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  2. Haim Brezis
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  3. Elliott H. Lieb
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Editor information

Editors and Affiliations

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

    Walter Thirring

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© 1997 Springer-Verlag Berlin Heidelberg

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Benguria, R., Brezis, H., Lieb, E.H. (1997). The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03436-1_30

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  • DOI: https://doi.org/10.1007/978-3-662-03436-1_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-03438-5

  • Online ISBN: 978-3-662-03436-1

  • eBook Packages: Springer Book Archive

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