DYNAMICAL REALIZABILITY FOR QUANTUM MEASUREMENT AND FACTORIZATION OF THE EVOLUTION OPERATOR

By building a general dynamical model for the quantum measurement process, it is shown that factorization of the reduced evolution operator effectively results in the quantum mechanical realization of wave pack-et collapse and state correlation between the measured system and the measuring instrument-detector. This realizability is largely independent of the details of both the interaction and the Hamiltonian of the detector. The Coleman-Hepp model and all of its generalizations are only special cases of the more universal model given in this letter. Finally an explicit example of this model is given in connection with a coherent state.