Long range atomic potentials in Thomas-Fermi theory

Haim Brezis; Elliott H. Lieb

doi:10.1007/BF01197881

Long range atomic potentials in Thomas-Fermi theory

Haim Brezis, Elliott H. Lieb

Mathematics

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39 Scopus citations

Abstract

We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separation l, like Γl^-7. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Π is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (in l) region.

Original language	English (US)
Pages (from-to)	231-246
Number of pages	16
Journal	Communications In Mathematical Physics
Volume	65
Issue number	3
DOIs	https://doi.org/10.1007/BF01197881
State	Published - Oct 1979

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01197881

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title = "Long range atomic potentials in Thomas-Fermi theory",

abstract = "We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separation l, like Γl-7. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Π is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (in l) region.",

author = "Haim Brezis and Lieb, {Elliott H.}",

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AU - Lieb, Elliott H.

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N2 - We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separation l, like Γl-7. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Π is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (in l) region.

AB - We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separation l, like Γl-7. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Π is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (in l) region.

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DO - 10.1007/BF01197881

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JF - Communications In Mathematical Physics

IS - 3

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Long range atomic potentials in Thomas-Fermi theory

Abstract

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