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Exact particle and kinetic-energy densities for one-dimensional confined gases of noninteracting fermions | P Vignolo
; A Minguzzi
; M P Tosi
; | Date: |
2 Oct 2000 | Journal: | Phys Rev Lett, 85 (14), 2850-3 | Abstract: | We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of noninteracting 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 approximation, the exact profiles 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: | PubMed, pmid11005951 | Services: | Forum | Review | Favorites |
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