Title: A new approach to divergences in quantum electrodynamics, concrete examples,
Abstract: An interesting attempt for solving infrared divergence problems via the
theory of generalized wave operators was made by P. Kulish and L. Faddeev. Our
method of using the ideas from the theory of generalized wave operators is
essentially different. We assume that the unperturbed operator $A_0$ is known
and that the scattering operator $S$ and the unperturbed operator $A_0$ are
permutable. (In the Kulish-Faddeev theory this basic property is not
fulfilled.) The permutability of $S$ and $A_0$ gives us an important
information about the structure of the scattering operator. We show that the
divergences appeared because the deviations of the initial and final waves from
the free waves were not taken into account. The approach is demonstrated on
important examples.