Wigner functions for noncommutative quantum mechanics: A group representation based construction

DOI10.1063/1.4936312zbMath1331.81171arXiv1506.06341OpenAlexW3102364581MaRDI QIDQ3463241

S. Hasibul Hassan Chowdhury, Syed Twareque Ali

Publication date: 12 January 2016

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

Full work available at URL: https://arxiv.org/abs/1506.06341

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Central extensions and Schur multipliers (19C09)

Related Items (5)

On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori ⋮ Some evolution formulas on the optical fields propagation in realistic environments ⋮ Deformation of noncommutative quantum mechanics ⋮ Wigner functions on non-standard symplectic vector spaces ⋮ Noncommutative coherent states and related aspects of Berezin–Toeplitz quantization

Cites Work

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• The symmetry groups of noncommutative quantum mechanics and coherent state quantization
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