The symmetry groups of noncommutative quantum mechanics and coherent state quantization

DOI10.1063/1.4793992zbMath1281.81049arXiv1208.3861OpenAlexW2131072298MaRDI QIDQ5397748

S. Hasibul Hassan Chowdhury, Syed Twareque Ali

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3861

Mathematics Subject Classification ID

Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Applications of group representations to physics and other areas of science (20C35) Central extensions and Schur multipliers (19C09) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (6)

On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori ⋮ Wigner functions for noncommutative quantum mechanics: A group representation based construction ⋮ Extended pseudo-fermions from non commutative bosons ⋮ Coherent states on horospheric three-dimensional Lobachevsky space ⋮ Deformation of noncommutative quantum mechanics ⋮ Noncommutative coherent states and related aspects of Berezin–Toeplitz quantization

Cites Work

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• The Galilean group in \(2+1\) space-times and its central extension
• On unitary ray representations of continuous groups
• Formulation, interpretation and application of non-commutative quantum mechanics
• Representations of the (2+1)-dimensional Galilean group
• QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS

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