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Kinetic energy functional for Fermi vapors in spherical harmonic confinement

A. Minguzzi·N. H. March·M. P. Tosi
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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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A. Minguzzi, N. H. March, M. P. Tosi. 2001-02-10. Kinetic energy functional for Fermi vapors in spherical harmonic confinement. https://doi.org/10.1016/s0375-9601(01)00125-6

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