Kinetic energy functional for Fermi vapors in spherical harmonic confinement
arXiv:cond-mat/0102187 · doi:10.1016/S0375-9601(01)00125-6
Abstract
Two equations are constructed which reflect, for fermions moving independently in a spherical harmonic potential, a differential virial theorem and a relation between the turning points of kinetic energy and particle densities. These equations are used to derive a differential equation for the particle density and a non-local kinetic energy functional.
8 pages, 2 figures