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Coupled quantum-classical description in the Schrödinger representation

✍ Scribed by Yu. A. Rylov

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
245 KB
Volume
72
Category
Article
ISSN
0020-7608

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✦ Synopsis

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 Ž . 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.

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