Abstract:
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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Received 27 March 2001 and Received in final form 12 June 2001
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Minguzzi, A., March, N. & Tosi, M. Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors. Eur. Phys. J. D 15, 315–320 (2001). https://doi.org/10.1007/s100530170146
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DOI: https://doi.org/10.1007/s100530170146