Moyal quantization on the cylinder

DOI10.1016/S0034-4877(97)85911-3zbMath0904.58022OpenAlexW2137785582MaRDI QIDQ1387166

Oscar Arratia, Mariano A. del Olmo

Publication date: 28 December 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85911-3

zbMATH Keywords

Moyal's quantizationStratonovich-Weyl approach

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (3)

Fourier-Zernike series of compactly supported convolutions on \(SE(2)\) ⋮ Formal series of generalized functions and their application to deformation quantization ⋮ Geometrical origin of the \(\ast\)-product in the Fedosov formalism

Cites Work

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• The Moyal representation for spin
• Parity operator and quantization of \(\delta\)-functions
• Deformation theory and quantization. I: Deformations of symplectic structures
• Star quantization on the cylinder
• Relativistic quantum kinematics in the Moyal representation
• The Stratonovich–Weyl correspondence for one-dimensional kinematical groups
• Moyal quantization of 2+1-dimensional Galilean systems
• Central extensions and realizations of one-dimensional Galilean systems and quantization
• On the Quantum Correction For Thermodynamic Equilibrium

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