Bogolyubov Variables for an Interacting Field System

This is the continuation of paper [1], which contained the basic ideas of quantization for nonlinear systems in the neighborhood of nontrivial classical solutions of the equations of motion. Quantization is performed using Bogolyubov variables; this combines an accurate account of conservation laws and perturbation theory and avoids the problem of zero modes. In this paper, the quantization of interacting gravitational and scalar fields is performed using this method.