Abstract
An exact hierarchy of integral equations involving $n$-particle distribution functions is obtained within the context of Slater-Jastrow many-body wave function. The "convolution approximation" is used to truncate this hierarchy. This results in a new integral equation for the static structure function. The equation is solved numerically to obtain the pair correlation functions and the ground-state energies of the homogeneous electron gas for a range of densities. The results obtained, throughout the metallic range, are in reasonable agreement with those obtained by successful nonvariational methods, and are better than those of earlier variational calculations.
Published Version
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