The Dyson equation and Green's function formalism map the problem of N
electrons in the Born-Oppenheimer nuclear field into a one-electron S
chrodinger equation problem in quantum chemistry. The mass operator co
ntains the information about electron correlation, and the ground-stat
e energy, electron affinity, and ionization energy of a molecular syst
em. This pseudopotential approach is combined with the random-phase ap
proximation (RPA) method to give a model with spontaneous symmetry bre
aking, where the relevant features are incorporated in a transparent w
ay. An effective potential is developed consisting of a Hartree-Fock s
olution with auxiliary fields to probe for deformation instabilities.
The model is then connected to a closely related perturbative propagat
or approach and linked with the configuration interaction formalism. (
C) 1997 John Wiley & Sons, Inc.