### 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) |
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Pages (from-to) | 231-246 |

Number of pages | 16 |

Journal | Communications In Mathematical Physics |

Volume | 65 |

Issue number | 3 |

DOIs | |

State | Published - Oct 1 1979 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Brezis, H., & Lieb, E. H. (1979). Long range atomic potentials in Thomas-Fermi theory.

*Communications In Mathematical Physics*,*65*(3), 231-246. https://doi.org/10.1007/BF01197881