Deformations of Poisson algebra in terms of star products and q-deformed mechanics

DOI10.1063/1.530402zbMath0792.58021OpenAlexW2082412263MaRDI QIDQ3141348

Takashi Suzuki

Publication date: 9 June 1994

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

Full work available at URL: https://doi.org/10.1063/1.530402

zbMATH Keywords

quantizationPoisson algebradeformed mechanics

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) Geometric quantization (53D50)

Related Items (2)

More on U q(su(1,1)) with q a root of unity ⋮ Q-analytic functions on quantum spaces

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Remarks on quantum groups
• On a possible origin of quantum groups
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Deformation theory and quantization. I: Deformations of symplectic structures
• Quantum algebras on phase space
• Differential geometry of the quantum supergroupGL q (1/1)
• On the Quantum Correction For Thermodynamic Equilibrium

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