Kinetic energy functional for Fermi vapors in spherical harmonic confinement

Details Kinetic energy functional for Fermi vapors in spherical harmonic confinement Kinetic energy functional for Fermi vapors in spherical harmonic confinement

2001-02-10

arxiv.org/abs/cond-mat/0102187v1

Phys. Lett. A, vol. 281, p. 192 (2001)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 figures

Scientific paper

10.1016/S0375-9601(01)00125-6

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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