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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 116, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.116 (Mi sigma674) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Noncommutative Phase Spaces by Coadjoint Orbits Method

Ancille Ngendakumanaa, Joachim Nzotungicimpayeb, Leonard Todjihoundea

a Institut de Mathématiques et des Sciences Physiques, Porto-Novo, Benin
b Kigali Institute of Education, Kigali, Rwanda
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DOI: https://doi.org/10.3842/SIGMA.2011.116
Abstract: 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.
Keywords: classical mechanics, noncommutative phase space, coadjoint orbit, symplectic realizations, magnetic and dual magnetic fields.
Received: May 24, 2011; in final form December 13, 2011; Published online December 18, 2011
Bibliographic databases:
Document Type: Article
MSC: 22E60; 22E70; 37J15; 53D05; 53D17
Language: English
Citation: Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde, “Noncommutative Phase Spaces by Coadjoint Orbits Method”, SIGMA, 7 (2011), 116, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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