Asymptotic State Vector Collapse and QED Nonequivalent Representations

Abstract

The state vector evolution in the interaction of measured pure state with the collective quantum system or the field is analyzed in a nonperturbative QED formalism. As the model example the measurement of the electron final state scattered on nucleus or neutrino is considered. The produced electromagnetic bremsstrahlung contains the unrestricted number of soft photons resulting in the total radiation flux becoming the classical observable, which means the state vector collapse. The evolution from the initial to the final system state is nonunitary and formally irreversible in the limit of the infinite time.