Analytical relations between kinetic-energy and particle densities for one-dimensional harmonically confined Fermi vapors - art. no. 044502

Analytical relations between kinetic-energy and particle densities are set out here, and used for numbers of harmonically confined independent fermion s 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 Weizsacker inhomogeneity kinetic-energy density near the tunneling regi me for the harmonic potential barrier, the example of 50 fermions being stu died specifically.