Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
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| Creator |
Schroers, B.J.
Wilhelm, M. |
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| Description |
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.
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| Date |
2019-02-10T18:14:08Z
2019-02-10T18:14:08Z 2014 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 83A99; 81R20; 81R50; 81R60 DOI:10.3842/SIGMA.2014.053 http://dspace.nbuv.gov.ua/handle/123456789/146686 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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