On Uniqueness of the Jump Process in Quantum Measurement Theory

A. Jadczyk, G. Kondrat, R. Olkiewicz -

Published 1995-12-04, updated 1995-12-06Version 3

We prove that, contrary to the standard quantum theory of continuous observation, in the formalism of Event Enhanced Quantum Theory the stochastic process generating individual sample histories of pairs (observed quantum system, observing classical apparatus) is unique. This result gives a rigorous basis to the previous heuristic argument of Blanchard and Jadczyk. Possible implications of this result are discussed.