rnMotivated by McWeeny's pioneering work on the solution of the Schrodinger equation in momentum space and his early treatment of X-ray scattering factors from the electron distribution p(r) in both isolated and bonded atoms, the relation between momentum space moments ( p") and p(r) is first developed semiclassically, as in the forerunner of density functional theory, the Thomas-Fermi method. The relation between ( p) and the Dirac-Slater exchange energy prompts the treatment of an exact nonlocal relation between kinetic and exchange energies in Hartree-Fock theory. The Hiller-Sucher-Feinberg identity serves then to introduce the differential form of the virial theorem in a many-electron system. Following very recent work of Holas and March, this is used to obtain the exact exchange-correlation potential as a path integral expressed in terms of low-order density matrices.