### Abstract

In a classical monoatomic liquid such as argon, there is a well-known relation between an integral over the triplet correlation function and the pair function, independent of the interparticle interaction. Here, we make a start on establishing a quantum-mechanical analogue by considering the ground state of the completely spin-polarised homogeneous electron fluid. Again, an exact relation is then established, but now at T = 0, for such a Fermion fluid, where only Pauli principle repulsions exist between all the electrons. A possible generalisation to embrace additional electron-electron Coulombic repulsions is thereby conjectured.

Original language | English |
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Pages (from-to) | 5-8 |

Number of pages | 4 |

Journal | Physics and Chemistry of Liquids |

Volume | 47 |

Issue number | 1 |

DOIs | |

Publication status | Published - Feb 12 2009 |

### Keywords

- Pair density
- Triplet correlation function
- Uniform electron fluid

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Physical and Theoretical Chemistry
- Materials Chemistry

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## Cite this

Amovilli, C., March, N. H., & Nagy, A. (2009). Exact integral relation between the triplet correlation function in the ground state of the completely polarised homogeneous electron fluid and the pair function: Comparison with the classical liquid argon result.

*Physics and Chemistry of Liquids*,*47*(1), 5-8. https://doi.org/10.1080/00319100802261069