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Title: Group theoretical construction of planar noncommutative phase spaces

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.
Authors:
;  [1] ;  [2]
  1. Institut de Mathématiques et des Sciences Physiques (IMSP), Porto-Novo (Benin)
  2. Kigali Institute of Education (KIE), Kigali (Rwanda)
Publication Date:
OSTI Identifier:
22251598
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; COMMUTATION RELATIONS; COORDINATES; LIE GROUPS; PHASE SPACE