Abstract
A method is presented for calculating at any temperature the pair-correlation functions of a quantum electron gas in thermal equilibrium. The Slater sum is approximated as a product of pair functions of the spatial coordinates which is in the form of a classical Boltzmann factor with an effective pair potential. The pair-correlation functions for the quantum system are then obtained by applying to this effective Boltzmann factor the powerful techniques developed for classical systems. The correlation energy of the ground state is calculated at several densities and is compared to the values obtained by other authors.
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