Prezhdo, OV and Kisil, VV orcid.org/0000-0002-6593-6147 (1997) Mixing quantum and classical mechanics. Physical Review A, 56 (1). pp. 162-175. ISSN 1050-2947
Abstract
Quantum-classical mixing is studied by a group-theoretical approach, and a quantum-classical equation of motion is derived. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics, and, therefore, leads to a natural description of interaction between quantum and classical degrees of freedom. The exact formalism is applied to coupled quantum and classical oscillators. Various approximations, such as the mean-field and the multiconfiguration mean-field approaches, which are of great utility in studying realistic multidimensional systems, are derived. Based on the formulation, a natural classification of the previously suggested quantum-classical equations of motion arises, and several problems from earlier works are resolved.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 1997 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | quantum mechanics; Representation Theory |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Jul 2019 14:10 |
Last Modified: | 23 Jun 2023 22:22 |
Published Version: | http://link.aps.org/abstract/PRA/v56/p162 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevA.56.162 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111381 |