Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators

Name: Work Video:
Duration: 3 min 30 s
Description: We show that the linear symplectic and anti-symplectic transformations form the maximal covariance group for both the Wigner transform and Weyl operators. The proof is based on a new result from symplectic geometry which characterizes symplectic and anti-symplectic matrices, and which allows us, in addition, to refine a classical result on the preservation of symplectic capacities of ellipsoids.
Nuno Costa Dias; Maurice A. de Gosson; João Nuno Prata
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