The Stratonovich-Weyl correspondence: A general approach to Wigner functions
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Várilly Boyle, Joseph C.
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Abstract
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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Keywords
Moyal product, Stratonovich-Weyl quantizer, Quantum mechanics in phase space