Reduced density matrices for valence-bond wave functions

First and second-order reduced density matrices, and their eigenvalues and eigenvectors, have been obtained for resonating valence-bond wave functions for N-membered rings of atoms with one orbital site and one electron per atom (one-dimensional lattice system). Such a wave function offers a good description of the electron correlation which dominates behavior at very low electron density (large atomic spacing). Results are compared briefly with the amo model.