Abstract
Abstract : A perturbation theory of the self-consistent field is developed using a Green's function method after the manner of Peng. It is shown that a self- consistent perturbation theory yields the same answers as the conventional random phase approximation. The equivalence of the perturbation approach to spin waves in metals developed by Herring and the random phase approximation for the same problem is seen to be an example of this. The effect of the weak periodic field on a Hartree-Fock electron system is here explicitly done both by the perturbation approach and the random phase approximation with the Green's function approach. The Green's function approach is finally generalized so as to include, in principle, correlations beyond the Hartree-Fock.
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