Coupled quantum‐classical description in the Schrödinger representation

Abstract

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 Schrodinger 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, which 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 dynamic variables (computer storage) is several times as large as the classical description, but it is much less than at the pure quantum description. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 72: 483–498, 1999