Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
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...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146686 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146686 |
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dspace |
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irk-123456789-1466862019-02-11T01:24:29Z Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions Schroers, B.J. Wilhelm, M. 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Schroers, B.J. Wilhelm, M. |
| spellingShingle |
Schroers, B.J. Wilhelm, M. Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Schroers, B.J. Wilhelm, M. |
| author_sort |
Schroers, B.J. |
| title |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions |
| title_short |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions |
| title_full |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions |
| title_fullStr |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions |
| title_full_unstemmed |
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions |
| title_sort |
towards non-commutative deformations of relativistic wave equations in 2+1 dimensions |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146686 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT schroersbj towardsnoncommutativedeformationsofrelativisticwaveequationsin21dimensions AT wilhelmm towardsnoncommutativedeformationsofrelativisticwaveequationsin21dimensions |
| first_indexed |
2023-05-20T17:25:25Z |
| last_indexed |
2023-05-20T17:25:25Z |
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1796153260744114176 |