56 citations · 520 across the 52 of their papers we have counts for
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quant-ph2022★ 4 cited
Pointillisme à la Signac and Construction of a Quantum Fiber Bundle Over Convex Bodies
Maurice de Gosson, Charlyne de Gosson
We use the notion of polar duality from convex geometry and the theory of Lagrangian planes from symplectic geometry to construct a fiber bundle over ellipsoids that can be viewed…
quant-ph2022
Symplectic Polar Duality, Quantum Blobs, and Generalized Gaussians
Maurice de Gosson, Charlyne de Gosson
We apply the notion of polar duality from convex geometry to the study of quantum covariance ellipsoids in symplectic phase space. We consider in particular the case of "quantum bl…
quant-ph2022★ 12 cited
Symplectic Radon Transform and the Metaplectic Representation
Maurice A. de Gosson
We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian. We give rigo…