KINETIC-ENERGY DENSITY IN TERMS OF ELECTRON-DENSITY FOR CLOSED-SHELL ATOMS IN A BARE COULOMB FIELD

A long-term aim in density functional theory is to obtain the kinetic energy density t(r) in terms of the ground-state electron density rho( r). Here, t(r) is written explicitly in terms of rho(r) for an arbitra ry number N of closed shells in a bare Coulomb field. In the limit as N --> infinity, closed results for t(r) follow from the earlier analys is of rho(r) by Heilmann and Lieb. [Phys. Rev. A 52, 3628 (1995)]. (C) 1998 John Wiley & Sons, Inc.