Group theoretical construction of planar noncommutative phase spaces

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4862843· OSTI ID:22251598

Ngendakumana, Ancille; Todjihoundé, Leonard ^[1]; Nzotungicimpaye, Joachim ^[2]

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1. Institut de Mathématiques et des Sciences Physiques (IMSP), Porto-Novo (Benin)
2. Kigali Institute of Education (KIE), Kigali (Rwanda)

Noncommutative phase spaces are generated and classified in the framework of centrally extended anisotropic planar kinematical Lie groups as well as in the framework of noncentrally abelian extended planar absolute time Lie groups. Through these constructions the coordinates of the phase spaces do not commute due to the presence of naturally introduced fields giving rise to minimal couplings. By symplectic realizations methods, physical interpretations of generators coming from the obtained structures are given.

• OSTI ID: 22251598
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
COMMUTATION RELATIONS
COORDINATES
LIE GROUPS
PHASE SPACE