Density profile of a harmonically trapped ideal fermi gas in arbitrary dimension.
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.
Mueller
Erich J
EJ
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.