Kinetic and Potential Energies of an Electron Gas

It is pointed out that the kinetic and potential energies of an electron gas may be obtained exactly in the high-density limit by using the virial theorem in conjunction with the results of Gell-Mann and Brueckner. For intermediate and low densities, the results obtained from Wigner's formula are also referred to, although for the intermediate region these are likely to be at best semiquantitative.