C. Amovilli et Nh. March, SLATER SUM AND KINETIC-ENERGY TENSOR IN SOME SIMPLE INHOMOGENEOUS ELECTRON LIQUIDS, Physics and chemistry of liquids, 30(3), 1995, pp. 135-139
Starling from the Bloch equation for the canonical density matrix, the
differential equation satisfied by the Slater sum is derived for some
simple inhomogeneous electron liquids. The relation of this derivatio
n to the differential form of the virial theorem, and in particular to
the kinetic energy tensor, is finally discussed.