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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-ph2019★ 2 cited
Uncertainty relations for a non-canonical phase-space noncommutative algebra
Nuno Costa Dias, Joao Nuno Prata
We consider a non-canonical phase-space deformation of the Heisenberg-Weyl algebra that was recently introduced in the context of quantum cosmology. We prove the existence of minim…