Kisil, V orcid.org/0000-0002-6593-6147 (2005) A quantum-classical bracket from p-mechanics. Europhysics Letters, 72 (6). pp. 873-879. ISSN 0295-5075
Abstract
We provide an answer to the long standing problem of mixing quantum and classical dynamics within a single formalism. The construction is based on p-mechanical derivation (quant-ph/0212101, quant-ph/0304023) of quantum and classical dynamics from the representation theory of the Heisenberg group. To achieve a quantum-classical mixing we take the product of two copies of the Heisenberg group which represent two different Planck's constants. In comparison with earlier guesses our answer contains an extra term of analytical nature, which was not obtained before in purely algebraic setup.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © EDP Sciences. This is an author produced version of a paper published in EPL (Europhysics Letters). Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Heisenberg group; commutator; Moyal brackets; orbit method; Poisson brackets; Representation Theory; Planck's constant; quantum-classical mixing |
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: | 05 Sep 2017 15:50 |
Last Modified: | 16 Jan 2018 22:36 |
Status: | Published |
Publisher: | EDP Sciences |
Identification Number: | 10.1209/epl/i2005-10324-7 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111382 |