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Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation

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 نشر من قبل Kaitlyn Morrell
 تاريخ النشر 2019
  مجال البحث فيزياء
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Using a leading-order semiclassical approximation, we calculate the third- and fourth-order virial coefficients of nonrelativistic spin-1/2 fermions in a harmonic trapping potential in arbitrary spatial dimensions, and as functions of temperature, trapping frequency and coupling strength. Our simple, analytic results for the interaction-induced changes $Delta b_3$ and $Delta b_4$ agree qualitatively, and in some regimes quantitatively, with previous numerical calculations for the unitary limit of three-dimensional Fermi gases.



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