Spin-resolved pair-distribution functions in an electron gas: A scattering approach based on consistent potentials

摘要

The spin-resolved pair-functions g↑↓(r) and g ↑↑(r) of an interacting unpolarized electron gas are calculated. The calculations are based on geminal representations of two-electron states and physically motivated model potentials, V ↑↓(r) and V↑↑(r), in the scattering Schrödinger equations for relative movements. The proper normalization conditions for the pair functions, as natural constraints, are used to obtain consistent effective potentials. Good agreement with data of quantum Monte Carlo treatment on the pair-distribution functions is established. Possible applications of the potentials in other two- and one-particle characteristics are briefly discussed.