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We develop a Green's function method to evaluate the exact equilibriumparticle-density profiles of noninteracting Fermi gases in external harmonicconfinement in any spatial dimension and for arbitrary trap anisotropy. Whilein a spherically symmetric configuration the shell effects are negligible inthe case of large number of particles, we find that for very anisotropic trapsthe quantum effects due to single-level occupancy and the deviations from theThomas-Fermi approximation are visible also for mesoscopic clouds.Comment: 4 pages, 4 figure

Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement