Metaplectic formulation of the Wigner transform and applications

Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata

We show that the cross Wigner function can be written in the form $W(\psi ,\varphi )=\hat{S}(\psi \otimes \overline{\hat{\varphi }})$ where $\hat{\varphi }$ is the Fourier transform of $\varphi$ and $\hat{S}$ is a me…