Kisil, VV orcid.org/0000-0002-6593-6147 (2004) p-Mechanics and De Donder-Weyl theory. In: Proceedings of Institute of Mathematics of NAS of Ukraine. The Fifth International Conference: Symmetry in Nonlinear Mathematical Physics, 23-29 Jun 2003, Kiev, Ukraine. Institute of Mathematics of NAS of Ukraine , pp. 1108-1115.
Abstract
The orbit method of Kirillov is used to derive the p-mechanical brackets [26]. 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: | Proceedings Paper |
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Authors/Creators: |
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Keywords: | Clifford algebra; Heisenberg group; Classic and quantum mechanics; commutator; conformal M\obius transforma; De Donder-Weyl field theory; deformation quantisation; Galilean group; Moyal brackets; orbit method; Poisson brackets; 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: | 04 Mar 2020 14:01 |
Last Modified: | 04 Mar 2020 14:01 |
Published Version: | https://www.imath.kiev.ua/~snmp2003/Proceedings/pa... |
Status: | Published |
Publisher: | Institute of Mathematics of NAS of Ukraine |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111540 |