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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2022 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | 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 |
| Цитувати: | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Stjepan Meljanac and Rina Štrajn. SIGMA 18 (2022), 022, 20 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708324593565696 |
|---|---|
| author | Meljanac, Stjepan Štrajn, Rina |
| author_facet | Meljanac, Stjepan Štrajn, Rina |
| citation_txt | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Stjepan Meljanac and Rina Štrajn. SIGMA 18 (2022), 022, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-19T06:23:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211523 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T06:23:16Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Meljanac, Stjepan Štrajn, Rina 2026-01-05T12:24:36Z 2022 Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Stjepan Meljanac and Rina Štrajn. SIGMA 18 (2022), 022, 20 pages 1815-0659 2020 Mathematics Subject Classification: 81R60 arXiv:2112.12038 https://nasplib.isofts.kiev.ua/handle/123456789/211523 https://doi.org/10.3842/SIGMA.2022.022 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. SM thanks S. Mignemi for useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Deformed Quantum Phase Spaces, Realizations, Star Products and Twists Article published earlier |
| spellingShingle | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists Meljanac, Stjepan Štrajn, Rina |
| title | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists |
| title_full | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists |
| title_fullStr | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists |
| title_full_unstemmed | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists |
| title_short | Deformed Quantum Phase Spaces, Realizations, Star Products and Twists |
| title_sort | deformed quantum phase spaces, realizations, star products and twists |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211523 |
| work_keys_str_mv | AT meljanacstjepan deformedquantumphasespacesrealizationsstarproductsandtwists AT strajnrina deformedquantumphasespacesrealizationsstarproductsandtwists |