From geometric quantization to Moyal quantization

Jose M. Gracia-Bondia; Joseph C. Varilly

From geometric quantization to Moyal quantization

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arxiv hep-th/9406170 v1 pith:HL332O2D submitted 1994-06-24 hep-th

Jose M. Gracia-Bondia , Joseph C. Varilly This is my paper · ORCID

classification hep-th

keywords quantizationgeometricmoyalappliedconstructedcorrespondencedirectlydoubling

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We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic groupoid constructed by ``doubling'' the phase space.

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