Coupled Quantum-Classical Description in the Schroedinger Representation

Yu.A.Rylov

It is shown that the number of dynamical variables (computer storage) which is necessary for a description is similar for the coupled quantum classical description and for the pure quantum one. In the Schroedinger representation the dynamic equations of the coupled quantum-classical description are shown to be nonlinear in terms of the wave function and incompatible with the quantum axiomatics. As a result the quantum-classical description appears to be impossible in the Heisenberg representation, because it uses essentially the quantum axiomatics, that is incompatible with the quantum-classical description. An idea of a description intermediate between the purely quantum description and the classical one is suggested. In this case the number of dynamical variables (computer storage) is several times as large as at the classical description, but it is much less, than at the pure quantum description.

(There is the paper in the form of a postscript file).

Updated 08/24/98