Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
We review deformed quantum phase spaces and their realizations in terms of the undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta, and twist from realizations are presented, as well as their properties and the relations between them. Lie deformed...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2022 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211523 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Stjepan Meljanac and Rina Štrajn. SIGMA 18 (2022), 022, 20 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We review deformed quantum phase spaces and their realizations in terms of the undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta, and twist from realizations are presented, as well as their properties and the relations between them. Lie deformed quantum phase spaces, and Snyder-type spaces are considered. Examples of linear realizations of the κ-Minkowski spacetime are elaborated. Finally, some new results on quadratic deformations of quantum phase spaces and a generalization of the Yang and triply special relativity models are presented.
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| ISSN: | 1815-0659 |