Consistent classical and quantum mixed dynamics

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Title Consistent classical and quantum mixed dynamics
Author Hall, Michael
Journal Name Physical Review A
Year Published 2008
Place of publication United States
Publisher American Physical Society
Abstract A recent proposal for mixed dynamics of classical and quantum ensembles is shown, in contrast to other proposals, to satisfy the minimal algebraic requirements proposed by Salcedo for any consistent formulation of such dynamics. Generalized Ehrenfest relations for the expectation values of classical and quantum observables are also obtained. It is further shown that additional desirable requirements, related to separability, may be satisfied under the assumption that only the configuration of the classical component is directly accessible to measurement, e.g., via a classical pointer. Although the mixed dynamics is formulated in terms of ensembles on configuration space, thermodynamic mixtures of such ensembles may be defined which are equivalent to canonical phase-space ensembles on the classical sector. Hence, the formulation appears to be both consistent and physically complete.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1103/PhysRevA.78.042104
Copyright Statement Copyright 2008 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 78
Issue Number 4
Page from 042104-1
Page to 042104-9
ISSN 1050-2947
Date Accessioned 2011-12-05
Date Available 2012-07-27T03:12:16Z
Language en_US
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Algebraic Structures in Mathematical Physics; Quantum Physics
URI http://hdl.handle.net/10072/42752
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1x

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