From geometric quantization to Moyal quantization | Zendy

José M. Gracia-Bondı́a | Zendy; Joseph C. Várilly | Zendy

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From geometric quantization to Moyal quantization

Author(s) -

José M. Gracia-Bondı́a,

Joseph C. Várilly

Publication year - 1995

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.531059

Subject(s) - geometric quantization , symplectic geometry , quantization (signal processing) , mathematics , phase space , algebra over a field , pure mathematics , mathematical physics , canonical quantization , physics , quantum mechanics , quantum , algorithm , quantum gravity

We show how the Moyal product of phase-space functions, and the Weylcorrespondence between symbols and operator kernels, may be obtained directlyusing the procedures of geometric quantization, applied to the symplecticgroupoid constructed by ``doubling'' the phase space.Comment: 7 two-column pages, RevTeX, UCR--FM--03--9

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