Spin-resolved correlation kinetic energy of the spin-polarized electron gas
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We give an exact formula, based on differentiation with respect to the electron mass, for the spin resolution of the kinetic energy (KE) of a general many-electron system, including the correlation KE. We evaluate the spin-resolved correlation KE for a uniform three dimensional electron gas of arbitrary spin polarization at metallic densities, using the Singwi-Tosi-Land-Sjolander formalism. We give a very accurate scaling relation for the data thus obtained. Our results are expected to be relevant in the analysis of spintronic systems.