The Pauli potential in relation to the differential virial theorem with application to experiments on ultracold atomic gases of fermions
Faculty of Sciences. Physics
Physics letters: A. - Amsterdam, 1967, currens
, p. 6667-6669
University of Antwerp
In early work by the writer introducing the Pauli potential VP(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.