Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors

Details Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors

2001-02-10

arxiv.org/abs/cond-mat/0102186v1

Eur. Phys. J. D, vol. 15, p. 315 (2001)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1007/s100530170146

We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an expression for the kinetic energy density in terms of the fermion particle density and its low-order derivatives. These results allow an explicit differential equation to be obtained for the particle density. The equation is third-order, linear and homogeneous. We also obtain a relation between the turning points of kinetic energy and particle densities, and an expression of the non-local kinetic energy density functional.

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