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

Hiroyuki Yoshimoto*, Susumu Kurihara

*この研究の対応する著者

    研究成果: Article査読

    5 被引用数 (Scopus)

    抄録

    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.

    本文言語English
    ページ(範囲)10461-10470
    ページ数10
    ジャーナルJournal of Physics A: Mathematical and General
    36
    42
    DOI
    出版ステータスPublished - 2003 11 24

    ASJC Scopus subject areas

    • 物理学および天文学(全般)
    • 統計物理学および非線形物理学
    • 数理物理学

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