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| Paper IPM / Physic / 7229 |
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We present an analytic theory of the spin-resolved pair distribution functions gσσ′(r) and the ground-state energy of an electron gas with an arbitrary degree of spin polarization. We first use the Hohenberg-Kohn variational principle and the von Weizsäcker-Herring ideal kinetic energy functional to derive a zero-energy scattering Schrödinger equation for √{gσσ′(r)}. The solution of this equation is implemented within a Fermi-hypernetted-chain approximation which embodies the Hartree-Fock limit and is shown to satisfy an important set of sum rules. We present numerical results for the ground-state energy at selected values of the spin polarization and for gσσ′(r) in both a paramagnetic and a fully spin-polarized electron gas, in comparison with the available data from Quantum Monte Carlo studies over a wide range of electron density.
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