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math.SG2019
On Orthogonal Projections of Symplectic balls
Nuno Costa Dias, Maurice A. de Gosson, Joao Nuno Prata
We study the orthogonal projections of symplectic balls in on complex subspaces. In particular we show that these projections are themselves symplectic balls unde…
math.SG2013
Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators
Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata
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 n…
math.SG2002★ 22 cited
The "Symplectic Camel Principle" and Semiclassical Mechanics
Maurice de Gosson
Gromov's nonsqueezing theorem, aka the property of the symplectic camel, leads to a very simple semiclassical quantiuzation scheme by imposing that the only "physically admissible"…