2001/02/10 by A. Minguzzi, N.H. March, N. H. March +2 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Quantum and Classical Electrodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0375-9601(01)00125-6
published as Phys. Lett. A, vol. 281, p. 192 (2001) · 8 pages, 2 figures
arxiv created 2001/02/10 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.