From geometric quantization to Moyal quantization

Abstract

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.

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

References in corpus (1)

• Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to \infty$

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• Quantization: History and Problems
• On the uniqueness of the Moyal structure of phase-space functions
• Star Products on Coadjoint Orbits