Analytical relations between kinetic-energy and particle densities for one-dimensional harmonically confined Fermi vapors
Norman Henry March, Luis Miguel Nieto
Analytical relations between kinetic-energy and particle densities are set out here, and used for numbers of harmonically confined independent fermions up to 100 particles. The use of positive definite kinetic-energy density is advocated in the present context, and this is then shown to tend to the von Weizs\"acker inhomogeneity kinetic-energy density near the tunneling regime for the harmonic potential barrier, the example of 50 fermions being studied specifically.
Physical Review A•Mar 16, 2001•17 citations