title: Universal energy functional for trapped Fermi gases with short range interactions.
abstract: Alhassid conjectured that the total energy of a harmonically trapped two-component Fermi gas with a short range interaction is a linear functional of the occupation probabilities of single-particle energy eigenstates. We confirm his conjecture and derive the functional explicitly. We show that the functional applies to all smooth (namely, differentiable) potentials having a minimum, not just harmonic traps. We also calculate the occupation probabilities of high energy states.
authors: School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA.
authors: Shina
authors: S
authors: Tan