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 deltan/n approximately N-alpha, where alpha=(1+1/d)/2.
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| http://dx.doi.org/10.1103/PhysRevLett.93.190404 | DOI Listing |
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