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Phys. Rev. Lett. 93, 190404 (2004) [4 pages]

Density Profile of a Harmonically Trapped Ideal Fermi Gas in Arbitrary Dimension

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Erich J. Mueller
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

Received 24 May 2004; published 4 November 2004

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/nN-α, where α=(1+1/d)/2.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.190404
DOI:
10.1103/PhysRevLett.93.190404
PACS:
03.75.Ss