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Density profile of a harmonically trapped ideal Fermi gas in arbitrary dimension

Erich J. Mueller
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Abstract

Closed form analytic expressions are derived for the density profile of a harmonically trapped noninteracting Fermi gas in $d$ dimensions. Shell structure effects are included to leading order in 1/N, where $N$ is the number of particles. These corrections to the local density approximation scale as $δn/n\sim N^{-α}$, where $α=(1+1/d)/2$.

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Erich J. Mueller. 2004-05-22. Density profile of a harmonically trapped ideal Fermi gas in arbitrary dimension. https://doi.org/10.1103/physrevlett.93.190404

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