The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Rafael Benguria; Haim Brezis; Elliott H. Lieb

doi:10.1007/BF01942059

The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Rafael Benguria, Haim Brezis, Elliott H. Lieb

Mathematics

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261 Scopus citations

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.

Original language	English (US)
Pages (from-to)	167-180
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	79
Issue number	2
DOIs	https://doi.org/10.1007/BF01942059
State	Published - Mar 1981

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01942059

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AB - 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.

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The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Abstract

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