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The Stratonovich-Weyl correspondence: A general approach to Wigner functions

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Várilly Boyle, Joseph C.

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A formalism is proposed for developing phase-space representations of elementary quantum systems under general invariance groups. Several examples are discussed, including the usual Weyl calculus, the Moyal formulation for spin, Poincaré disk quantizations, and the phase-space calculus for Galilean spinning particles.

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Moyal product, Stratonovich-Weyl quantizer, Quantum mechanics in phase space

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