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Article overview
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Exact particle and kinetic energy densities for one-dimensional confined gases of non-interacting fermions | Patrizia Vignolo
; Anna Minguzzi
; M. P. Tosi
; | Date: |
6 Sep 2000 | Journal: | Phys. Rev. Lett. 85 p. 2850 (2000) | Subject: | Statistical Mechanics | cond-mat.stat-mech | Affiliation: | SNS, Pisa | Abstract: | We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions. The method invokes a Green’s function operator in coordinate space, which is handled by techniques originally developed for the calculation of the density of single-particle states from Green’s functions in the energy domain. In contrast to the Thomas-Fermi (local density) approximation, the exact profiles under harmonic confinement show negative local pressure in the tails and a prominent shell structure which may become accessible to observation in magnetically trapped gases of fermionic alkali atoms. | Source: | arXiv, cond-mat/0009076 | Services: | Forum | Review | PDF | Favorites |
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