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Paper IPM / P / 7229  


Abstract:  
We present an analytic theory of the spinresolved pair distribution functions g_{σσ′}(r) and the groundstate energy of an electron gas with an arbitrary degree of spin polarization. We first use the HohenbergKohn variational principle and the von WeizsäckerHerring ideal kinetic energy functional to derive a zeroenergy scattering Schrödinger equation for √{g_{σσ′}(r)}. The solution of this equation is implemented within a Fermihypernettedchain approximation which embodies the HartreeFock limit and is shown to satisfy an important set of sum rules. We present numerical results for the groundstate energy at selected values of the spin polarization and for g_{σσ′}(r) in both a paramagnetic and a fully spinpolarized electron gas, in comparison with the available data from Quantum Monte Carlo studies over a wide range of electron density.
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