Triply extended group of translations of $\mathbb {R}^{4}$ as defining group of NCQM: relation to various gauges

DOI10.1088/1751-8113/47/8/085301zbMath1290.81045arXiv1309.7086OpenAlexW3106379133MaRDI QIDQ5408508

S. Hasibul Hassan Chowdhury, Syed Twareque Ali

Publication date: 10 April 2014

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

Full work available at URL: https://arxiv.org/abs/1309.7086

zbMATH Keywords

Lie groupscoadjoint orbitsquantum mechanicsHermite polynomialrepresentations theory

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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 ⋮ Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics ⋮ Deformation of noncommutative quantum mechanics ⋮ Wigner functions on non-standard symplectic vector spaces ⋮ Noncommutative coherent states and related aspects of Berezin–Toeplitz quantization

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