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Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Schroers, B.J. | |
| dc.contributor.author | Wilhelm, M. | |
| dc.date.accessioned | 2019-02-10T18:14:08Z | |
| dc.date.available | 2019-02-10T18:14:08Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions / B.J. Schroers, M. Wilhelm // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 45 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 83A99; 81R20; 81R50; 81R60 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.053 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146686 | |
| dc.description.abstract | We consider the deformation of the Poincaré group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing massive particles with spin 0, 1/2 and 1 in the deformed theory. We discuss ways of obtaining non-commutative versions of relativistic wave equations like the Klein-Gordon, Dirac and Proca equations in 2+1 dimensions by applying a suitably defined Fourier transform, and point out the relation between non-commutative Dirac equations and the exponentiated Dirac operator considered by Atiyah and Moore. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The full collection is available at http://www.emis.de/journals/SIGMA/space-time.html, MW thanks the Department of Mathematics at Heriot-Watt University for hospitality during a six-months visit in 2010 when the bulk of the research reported here was carried out. BJS thanks Sergio Inglima for discussions and comments on a draft version of the manuscript. Both MW and BJS thank the University of Ghana for hospitality during a research visit in April 2010. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
