Kisil, VV orcid.org/0000-0002-6593-6147 (2005) p-Mechanics and field theory. Reports on Mathematical Physics, 56 (2). pp. 161-174. ISSN 0034-4877
Abstract
The orbit method of Kirillov is used to derive the p-mechanical brackets [math-ph/0007030, quant-ph/0212101]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group. The extension of p-mechanics to field theory is made through the De Donder--Weyl Hamiltonian formulation. The principal step is the substitution of the Heisenberg group with Galilean.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2005 Published by Elsevier Ltd. This is an author produced version of a paper published in Reports on Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | classical and quantum mechanics; Moyal brackets; Poisson brackets; commutator; Heisenberg group; orbit method; deformation quantisation; representation theory; De Donder-Weyl field theory; Galilean group; Clifford algebra; conformal Möbius transformation; Dirac operator |
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: | 06 Sep 2017 14:55 |
Last Modified: | 19 Jan 2018 18:48 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/S0034-4877(05)80068-0 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111383 |