  We assume that the unperturbed operators $A_0$ are known. Then, the fact that
the scattering operators $S$ and the unperturbed operators $A_0$ are pairwise
permutable provides some important information about the structure of the
scattering operators. Using this information and the ideas from the theory of
generalized wave operators, we present a new approach to the divergence
problems in quantum electrodynamics. We show that the so called infrared
divergences appeared because the deviations of the initial and final waves from
the free waves were not taken into account.
