Abstract
The many-body perturbative and Green’s-function approaches for evaluating electron binding energies and electron affinities are compared, and it is shown that they are equivalent and both virtually exact. The former approach leads to Brueckner orbitals and the latter to Dyson orbitals, and it is shown that the two concepts are identical for a single valence electron or valence hole. The eigenvalue yields the exact binding energy/affinity, including correlation and relaxation effects. This result can be shown to hold also under more general conditions.
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