Explicit form of Pauli potential for direct derivation of pair density from a two-particle differential equation for the quintet state of four electrons with harmonic interparticle interactions
Faculty of Sciences. Physics
Journal of mathematical chemistry. - Basel
, p. 1462-1466
University of Antwerp
Recently, an analytic two-particle density matrix (2DM) has been derived for the quintet state of four electrons interacting via two-body harmonic forces. Here we use this 2DM to extract the exact pair density . This is then employed in the known two-particle partial differential equation for the pair density amplitude to extract the Pauli potential for this quintet state.