4 citations · 5 across the 5 of their papers we have counts for
5 papers
Symplectic and Lagrangian Polar Duality; Applications to Quantum Information Geometry
Maurice de Gosson, Charlyne de Gosson
Polar duality is a well-known concept from convex geometry and analysis. In the present paper, we study two symplectically covariant versions of polar duality keeping in mind their…
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…
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…
On the Wigner Distribution of the Reduced Density Matrix
Maurice de Gosson, Charlyne de Gosson
CConsider a bipartite quantum system consisting of two subsystems A and B. The reduced density matrix ofA a is obtained by taking the partial trace with respect to B. In this work,…
The Phase Space Formulation of Time-Symmetric Quantum Mechanics, I: the Wigner Formalism
Charlyne de Gosson, Maurice de Gosson
Time-symmetric quantum mechanics can be described in the usual Weyl--Wigner--Moyal formalism (WWM) by using the properties of the Wigner distribution, and its generalization, the c…