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Communications in Mathematical Physics

, Volume 125, Issue 1, pp 153–180 | Cite as

The Coulomb Gas at low temperature and low density

  • Joseph G. Conlon
  • Elliott H. Lieb
  • Horng-Tzer Yau
Article

Abstract

We study the quantum Coulomb Gas ofN particles with HamiltonianH at low temperature and negative values of the chemical potentialμ. Ifμ 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 ofμ 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 HamiltonianHμN with center of mass motion removed.

Keywords

Neural Network Statistical Physic Complex System Charged Particle Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Joseph G. Conlon
    • 1
  • Elliott H. Lieb
    • 2
  • Horng-Tzer Yau
    • 3
  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA
  3. 3.Courant InstituteNew York UniversityNew YorkUSA

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