Higher orders of perturbation theory in the neighborhood of a classical solution

The higher orders of quantum perturbation theory in the neighborhood of a classical solution are considered on the basis of an approach explained in an earlier paper. Expressions are obtained for the operator arguments of the field, and the scattering of secondary quanta and a solution is investigated by means of the semiclassical Lehmann-Symanzik-Zimmermann formalism. An expression for the mass operator of the system, which admits a clear physical interpretation, is obtained in terms of the asymptotic fields