From geometric quantization to Moyal quantization

DOI10.1063/1.531059zbMath0846.58034arXivhep-th/9406170OpenAlexW3105835536MaRDI QIDQ4873304

Joseph C. Várilly, José M. Gracia-Bondía

Publication date: 4 June 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406170

zbMATH Keywords

geometric quantizationMoyal quantization

Mathematics Subject Classification ID

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

Related Items (3)

Strict deformation quantization via geometric quantization in the Bieliavsky plane ⋮ Geometric Quantization and Epistemically Restricted Theories: The Continuous Case ⋮ Geometrical origin of the \(\ast\)-product in the Fedosov formalism

Cites Work

• Non-commutative differential geometry
• Unitary representations of some infinite dimensional groups
• Geometric quantization of the BRST charge
• On the pairing of polarizations
• Deformation theory and quantization. I: Deformations of symplectic structures
• Connes' noncommutative differential geometry and the standard model
• Classical theta functions and quantum tori
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Matrix Cartan superdomains, super Toeplitz operators, and quantization
• S-MATRIX FROM THE METAPLECTIC REPRESENTATION
• On a Hilbert space of analytic functions and an associated integral transform part I
• Symplectic groupoids and Poisson manifolds

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