Abstract
A particularly simple and transparent formulation of the exact self-consistent field theory of Brueckner is presented and a number of new results are proved. In particular, it is shown that the exact self-consistent function is one which among the functions in the trial space has maximum overlap with the exact eigenfunction and satisfies both the Brillouin and Brillouin-Bruckner properties and that the basic functional of the theory has optimal solutions other than the exact self-consistent function. The constraints under which the optimisation of the basic functional yields the desired solution are clearly stated and explained. Particularly simple proofs of some earlier results are given and some earlier results are strengthened.
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