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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| Дата: | 2011 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148081 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148081 |
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irk-123456789-1480812019-02-17T01:25:44Z Noncommutative Phase Spaces by Coadjoint Orbits Method Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148081 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 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. |
| format |
Article |
| author |
Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| spellingShingle |
Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. Noncommutative Phase Spaces by Coadjoint Orbits Method Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| author_sort |
Ngendakumana, A. |
| title |
Noncommutative Phase Spaces by Coadjoint Orbits Method |
| title_short |
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_sort |
noncommutative phase spaces by coadjoint orbits method |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148081 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT ngendakumanaa noncommutativephasespacesbycoadjointorbitsmethod AT nzotungicimpayej noncommutativephasespacesbycoadjointorbitsmethod AT todjihoundel noncommutativephasespacesbycoadjointorbitsmethod |
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2023-05-20T17:29:14Z |
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2023-05-20T17:29:14Z |
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