Abstract
A one-electron Green's function theory is presented which is a close analog to sum-of-the-pairs type quantum chemical theories. The approximate self-energy in this theory is expressed in terms of one-and two-electron energy-dependent functions describing the dynamical response of the correlated ground state to the removal and addition of an electron, respectively. These functions are explicitly related to parts of approximate wavefunctions for the ( N ± 1)-electron systems. The ground state energy, one-electron density matrix, ionization potentials, electron affinities and optical potentials for elastic electron-atom (molecule) scattering that can be obtained from this theory are discussed.
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