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Particle densities for dilute hard-sphere Bose or Fermi gases in an external potential

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  • X.-Z. Wang

Abstract

We prove that if the diameter of a hard-sphere is much smaller than the size of an external potential, the s-wave pseudopotential reduces to the Huang-Yang s-wave pseudopotential. We obtain the first-order virial expansions of particle densities for dilute hard-sphere Bose or Fermi gases in an arbitrary external potential. In the absence of an external potential, the results reduce to the Huang-Yang-Luttinger and Lee-Yang virial expansions. In the quasi-classical limit, the results reduce to the results of the local density approximation. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

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  • X.-Z. Wang, 2005. "Particle densities for dilute hard-sphere Bose or Fermi gases in an external potential," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(3), pages 385-391, December.
    • Handle: RePEc:spr:eurphb:v:48:y:2005:i:3:p:385-391
    DOI: 10.1140/epjb/e2005-00414-x
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