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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2011 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.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
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nasplib_isofts_kiev_ua-123456789-148081 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Noncommutative Phase Spaces by Coadjoint Orbits Method |
| spellingShingle |
Noncommutative Phase Spaces by Coadjoint Orbits Method Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| 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 |
| author |
Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| author_facet |
Ngendakumana, A. Nzotungicimpaye, J. Todjihounde, L. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
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AT ngendakumanaa noncommutativephasespacesbycoadjointorbitsmethod AT nzotungicimpayej noncommutativephasespacesbycoadjointorbitsmethod AT todjihoundel noncommutativephasespacesbycoadjointorbitsmethod |
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2025-12-07T15:23:14Z |
| last_indexed |
2025-12-07T15:23:14Z |
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1850863511537713152 |