From geometric quantization to Moyal quantization

Details From geometric quantization to Moyal quantization From geometric quantization to Moyal quantization

1994-06-24

arxiv.org/abs/hep-th/9406170v1

J.Math.Phys. 36 (1995) 2691-2701

Physics

High Energy Physics

High Energy Physics - Theory

7 two-column pages, RevTeX, UCR--FM--03--94

Scientific paper

10.1063/1.531059

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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