### Abstract

We study the quantum Coulomb Gas of N particles with Hamiltonian H at low temperature and negative values of the chemical potential μ. If μ is sufficiently negative the Coulomb gas is approximately a perfect rare gas of charged particles, as expected. The interesting fact is that for higher (but still negative) values of μ the gas changes to a rare gas of some atom or molecule (which is most likely neutral). The type of molecule is determined by the ground state of the Hamiltonian H -μN with center of mass motion removed.

Original language | English (US) |
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Pages (from-to) | 153-180 |

Number of pages | 28 |

Journal | Communications In Mathematical Physics |

Volume | 125 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1 1989 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Conlon, J. G., Lieb, E. H., & Yau, H. T. (1989). The Coulomb Gas at low temperature and low density.

*Communications In Mathematical Physics*,*125*(1), 153-180. https://doi.org/10.1007/BF01217775