Second-quantized molecular time scale generalized Langevin equation theory: Fermion equivalent chain

A second-quantized version of molecular time scale generalized Langevin equation theory is developed in an equivalent chain format for quantum fermion systems. The approach allows for nonlinear Hamiltonians and strong coupling to the bath. A bath average is defined which permits reduced dynamics prescriptions to be developed for the case of one-electron Hamiltonians. The bath average is shown to be defined such that perturbations of a primary zone damp away at long time