Phys. Rev. A 67, 053601 (2003) [5 pages]Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinementReceived 5 November 2002; published 1 May 2003 We develop a Green’s function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a spherically symmetric configuration the shell effects are negligible in the case of a large number of particles, we find that for very anisotropic traps the quantum effects due to single-level occupancy and the deviations from the Thomas-Fermi approximation are also visible for mesoscopic clouds. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.053601
DOI:
10.1103/PhysRevA.67.053601
PACS:
03.75.Ss, 05.30.Fk, 31.15.Ew
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