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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2011
Hauptverfasser: Ngendakumana, A., Nzotungicimpaye, J., Todjihounde, L.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2011
Online Zugang: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
Zitieren: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
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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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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
work_keys_str_mv AT ngendakumanaa noncommutativephasespacesbycoadjointorbitsmethod
AT nzotungicimpayej noncommutativephasespacesbycoadjointorbitsmethod
AT todjihoundel noncommutativephasespacesbycoadjointorbitsmethod