The Pauli potential in relation to the differential virial theorem with application to experiments on ultracold atomic gases of fermions

摘要

In early work by the writer introducing the Pauli potential V-P(r) into density functional theory, the relation of VP(r) to the, as yet unknown, single-particle kinetic energy density functional was emphasized. Here, because of ongoing experiments on ultracold atomic gases of fermions, an explicit expression for the first derivative of VP(r) for an arbitrary number of closed shells generated by harmonic confinement is derived in terms of the spherically symmetric particle density n(r) and the confining potential. (C) 2008 Elsevier B.V. All rights reserved.