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Static density - density correlation function for interacting ground states with ensemble v-representable number densities

We consider the zero-temperature static density - density correlation function corresponding to ground states (GSs) of arbitrary interacting systems, as opposed to those corresponding to systems with pure-state non-interacting v-representable GS number densities. The extended formalism involves some strict non-perturbative contributions which are not accounted for by the conventional linear-response theory. The approach therefore proves useful in addressing problems related to properties of ground and excited states of correlated systems.