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

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

2004-05-19

arxiv.org/abs/cond-mat/0405425v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 color figure, 2 bw figures, RevTeX4 -- updated reference

Scientific paper

10.1103/PhysRevLett.93.190404

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
$\delta n/n\sim N^{-\alpha}$, where $\alpha=(1+1/d)/2$.

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