### Abstract

Many-body atomic potentials, ε{lunate}, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε{lunate}(1, 2) ≡ E(1, 2) - E(1) - E(2). We prove that in Thomas-Fermi theory the n-body potential always has the sign (-1)^{n} for all coordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε{lunate}'s, when truncated at the n-body terms, has the sign (-1)^{n+1}.

Original language | English (US) |
---|---|

Pages (from-to) | 34-45 |

Number of pages | 12 |

Journal | Annals of Physics |

Volume | 110 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1978 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Many-body atomic potentials in Thomas-Fermi theory'. Together they form a unique fingerprint.

## Cite this

Benguria, R., & Lieb, E. H. (1978). Many-body atomic potentials in Thomas-Fermi theory.

*Annals of Physics*,*110*(1), 34-45. https://doi.org/10.1016/0003-4916(78)90140-9