Interaction between classical and quantum systems; a new approach to quantum measurement. II. Theoretical considerations

A new approach to the quantum measurement process is developed further. In this approach, the apparatus is treated as a classical system; however, the classical apparatus is directly coupled to the quantum system. A principle of integrity, which requires that the observables of the classical apparatus retain their classical integrity, is introduced. The constraints that this Principle places upon the coupling between the apparatus and the quantum system are examined. A model loosely based on the Stern--Gerlach experiment is used to illustrate the approach. A coupling which satisfies the Principle of Integrity is exhibited for this model