Abstract
Brillouin-Wigner perturbation theory, formulated in the Schrödinger picture of quantum field theory, is employed to derive a perturbative scheme for the scattering matrix for photoionisation and electron scattering reactions on atoms. It is important to note that the intermediate states appearing in this series are physical, i.e. fully correlated, eigenstates of the total Hamiltonian. The scheme is amenable to numerical analysis: The key point is the use of an “energy-optimised”g-Hartree basis which yields an efficient treatment of atomic correlations and makes Brillouin-Wigner and Rayleigh-Schrödinger perturbation theories coincide.
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Breuer, H.P., Dietz, K., Holthaus, M. et al. On the quantum field theory of photoionisation and electron scattering reactions on atoms. Z Phys D - Atoms, Molecules and Clusters 7, 9–21 (1987). https://doi.org/10.1007/BF01436647
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DOI: https://doi.org/10.1007/BF01436647