Energy corrections and persistent perturbation effects in continuous spectra. 2. The perturbed stationary states

Abstract

The paper continues the systematic investigation undertaken earlier 1) of a class of perturbations of continuous energy spectra producing, in addition to scattering and reaction processes, self-energy and cloud effects which affect at all times the motion of wave packets and which are of the type occurring in the quantum theory of interacting fields. The main result presented here is the explicit determination of the perturbed stationary states. The formula obtained is used to express the motion of wave packets and to connect it with its asymptotic properties for large times as established earlier. A special example is treated as illustration of the general method and a crude preliminary discussion is given of the aspect under which the renormalization program will present itself in the present formalism.