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Coupled quantum‐classical description in the Schrödinger representation
Author(s) -
Rylov Yu. A.
Publication year - 1999
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1999)72:5<483::aid-qua2>3.0.co;2-#
Subject(s) - representation (politics) , quantum , schrödinger's cat , theoretical physics , physics , quantum mechanics , statistical physics , classical mechanics , political science , politics , law
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 Schrödinger 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