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- W3103171208 abstract "We show that the cross Wigner function can be written in the form [Formula: see text] where [Formula: see text] is the Fourier transform of ϕ and Ŝ is a metaplectic operator that projects onto a linear symplectomorphism S consisting of a rotation along an ellipse in phase space (or in the time-frequency space). This formulation can be extended to generic Weyl symbols and yields an interesting fractional generalization of the Weyl–Wigner formalism. It also provides a suitable approach to study the Bopp phase space representation of quantum mechanics, familiar from deformation quantization. Using the metaplectic formulation of the Wigner transform, we construct a complete set of intertwiners relating the Weyl and the Bopp pseudo-differential operators. This is an important result that allows us to prove the spectral and dynamical equivalence of the Schrödinger and the Bopp representations of quantum mechanics." @default.
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- W3103171208 date "2013-11-01" @default.
- W3103171208 modified "2023-09-24" @default.
- W3103171208 title "METAPLECTIC FORMULATION OF THE WIGNER TRANSFORM AND APPLICATIONS" @default.
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- W3103171208 doi "https://doi.org/10.1142/s0129055x13430101" @default.
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