### Abstract

The one-electron momentum distribution function 〈a_{kσ}^{†}a_{kσ}〉 for an electron gas is investigated by a diagrammatic analysis of perturbation theory. It is shown that 〈a_{kσ}^{†}a_{kσ}〉 has the following exact asymptotic form for large k (k ≫ p_{F}; p_{F}, the Fermi momentum): 〈a_{kσ}^{†}a_{kσ}〉 = 4 9( αr_{s} π)^{2}×( p_{F}^{8} k^{8}) g{double arrow, left up, right down}(0) + ⋯, where g{double arrow, left up, right down}(0) is the zero-distance value of the spin-up-spin-down pair correlation function. The physical implications of the above asymptotic form are discussed.

Original language | English |
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Pages (from-to) | 416-424 |

Number of pages | 9 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 85 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1976 |

### ASJC Scopus subject areas

- Statistics and Probability
- Condensed Matter Physics

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## Cite this

Yasuhara, H., & Kawazoe, Y. (1976). A note on the momentum distribution function for an electron gas.

*Physica A: Statistical Mechanics and its Applications*,*85*(2), 416-424. https://doi.org/10.1016/0378-4371(76)90060-1