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arXiv · 1307.8185

Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators

Nuno Costa Dias·Maurice A. de Gosson·João Nuno Prata
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Abstract

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.

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BibTeXRIS

Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata. 2013-07-31. Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators. https://arxiv.org/abs/1307.8185

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