Dynamical correlation functions expressed in terms of many-particle ground-state wavefunction; the dynamical self-energy operator

We present the explicit expressions for the (regularized) terms in the large-epsilon asymptotic series of in particular the self-energy operator pertaining to arbitrary systems of interacting spin-s fermions in d spatial dimensions and deduce a variety of exact results concerning the general properties of this operator. We give especial attention to systems of spin-1/2 fermions in d=3 interacting through the Coulomb potential. [Short Abstract]