Quantum algebras on phase space

DOI10.1063/1.529779zbMath0763.17014OpenAlexW1982386352MaRDI QIDQ3991986

Zhicheng Lu

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529779

zbMATH Keywords

Poisson bracketquantum algebrasphase space\(*\)-product

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

Quantum mechanics as a matrix symplectic geometry, Star-products and phase space realizations of quantum groups, Deformations of Poisson algebra in terms of star products and q-deformed mechanics

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Remarks on quantum groups
• On a possible origin of quantum groups
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• SU_q.0(2) and SU_q.(2), the classical and quantum q-deformations of the SU(2) algebra