q -deformed star products and Moyal brackets

DOI10.1063/1.532321zbMath0946.53048arXivq-alg/9609023OpenAlexW3098031564MaRDI QIDQ4212642

Ömer F. Dayi

Publication date: 25 April 2000

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

Full work available at URL: https://arxiv.org/abs/q-alg/9609023

zbMATH Keywords

\(q\)-classical mechanics\(q\)-deformed phase space\(q\)-path integral

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Cites Work

• The algebra of Weyl symmetrised polynomials and its quantum extension
• Deformation theory and quantization. I: Deformations of symplectic structures
• On the deformability of Heisenberg algebras
• NONCOMMUTATIVE GEOMETRY ON QUANTUM PHASE SPACE
• AREA-PRESERVING DIFFEOMORPHISMS, W_∞ AND ${\mathcal U}_q [{\rm sl}(2)$ IN CHERN–SIMONS THEORY AND THE QUANTUM HALL SYSTEM]
• Quantum canonical invariance-a Moyal approach
• Quantum deformations of the Heisenberg equations of motion
• q-deformation of high-order Virasoro algebra
• sl_q(2) realizations for Kepler and oscillator potentials and q-canonical transformations

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