Kinetic energy functional for Fermi vapors in spherical harmonic confinement
A. Minguzzi, N. H. March, M. P. Tosi
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.
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