Noncommutative Phase Spaces by Coadjoint Orbits Method
We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase s...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148081 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Noncommutative Phase Spaces by Coadjoint Orbits Method / A. Ngendakumana, J. Nzotungicimpaye, L. Todjihounde // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862667758028718080 |
|---|---|
| author | Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| author_facet | Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| citation_txt | Noncommutative Phase Spaces by Coadjoint Orbits Method / A. Ngendakumana, J. Nzotungicimpaye, L. Todjihounde // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.
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| first_indexed | 2025-12-07T15:23:14Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148081 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:23:14Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. 2019-02-16T20:46:25Z 2019-02-16T20:46:25Z 2011 Noncommutative Phase Spaces by Coadjoint Orbits Method / A. Ngendakumana, J. Nzotungicimpaye, L. Todjihounde // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22E60; 22E70; 37J15; 53D05; 53D17 DOI: http://dx.doi.org/10.3842/SIGMA.2011.116 https://nasplib.isofts.kiev.ua/handle/123456789/148081 We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Noncommutative Phase Spaces by Coadjoint Orbits Method Article published earlier |
| spellingShingle | Noncommutative Phase Spaces by Coadjoint Orbits Method Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| title | Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_full | Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_fullStr | Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_full_unstemmed | Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_short | Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_sort | noncommutative phase spaces by coadjoint orbits method |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148081 |
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