Analytic treatment of interacting Fermi gas in an arbitrary dimensional harmonic trap

Hiroyuki Yoshimoto, Susumu Kurihara

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground-state energy and chemical potential, and obtain simple analytic expressions of the total energy and chemical potential. At zero temperature, we find that the Thomas-Fermi approximation agrees well with the exact results for any dimension even though the system is small. In the high-temperature (classical) region, we find the interaction energy decreases in proportion to T-d/2, where T is the temperature and d is the dimension of the system.

    Original languageEnglish
    Pages (from-to)10461-10470
    Number of pages10
    JournalJournal of Physics A: Mathematical and General
    Volume36
    Issue number42
    DOIs
    Publication statusPublished - 2003 Nov 24

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    Trap
    Harmonic
    Chemical potential
    traps
    Chemical Potential
    harmonics
    Arbitrary
    Gases
    gases
    Ground State Energy
    Exact Results
    Energy
    Temperature
    Ground state
    energy
    proportion
    Proportion
    First-order
    Perturbation
    Calculate

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Analytic treatment of interacting Fermi gas in an arbitrary dimensional harmonic trap. / Yoshimoto, Hiroyuki; Kurihara, Susumu.

    In: Journal of Physics A: Mathematical and General, Vol. 36, No. 42, 24.11.2003, p. 10461-10470.

    Research output: Contribution to journalArticle

    Yoshimoto, Hiroyuki ; Kurihara, Susumu. / Analytic treatment of interacting Fermi gas in an arbitrary dimensional harmonic trap. In: Journal of Physics A: Mathematical and General. 2003 ; Vol. 36, No. 42. pp. 10461-10470.
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