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We extend to finite temperature a Green's function method that was previouslyproposed to evaluate ground-state properties of mesoscopic clouds ofnon-interacting fermions moving under harmonic confinement in one dimension. Bycalculations of the particle and kinetic energy density profiles we illustratethe role of thermal excitations in smoothing out the quantum shell structure ofthe cloud and in spreading the particle spill-out from quantum tunnel at theedges. We also discuss the approach of the exact density profiles to thepredictions of a semiclassical model often used in the theory of confinedatomic gases at finite temperature.Comment: 7 pages, 4 figure

Temperature dependence of density profiles for a cloud of noninteracting fermions moving inside a harmonic trap in one dimension