The Coulomb Gas at low temperature and low density

Joseph G. Conlon, Elliott H. Lieb, Horng Tzer Yau

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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 languageEnglish (US)
Pages (from-to)153-180
Number of pages28
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Mar 1989

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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