56 citations · 520 across the 52 of their papers we have counts for
16 papers · 1 filter
Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography
Maurice de Gosson
We develop a symplectic formulation of the Lagrangian Radon transform based on the transitive action of the symplectic group on the Lagrangian Grassmannian. This geometric framewor…
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…
A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions
Nuno Costa Dias, Maurice A. de Gosson, Joao Nuno Prata
We propose a refinement of the Robertson-Schrodinger uncertainty principle (RSUP) using Wigner distributions. This new principle is stronger than the RSUP. In particular, and unlik…
Gaussian Distributions and Phase Space Weyl--Heisenberg Frames
Markus Faulhuber, Maurice A. de Gosson, David Rottensteiner
Gaussian states are at the heart of quantum mechanics and play an essential role in quantum information processing. In this paper we provide approximation formulas for the expansio…
Semi-classical Time-frequency Analysis and Applications
Elena Cordero, Maurice de Gosson, Fabio Nicola
This work represents a first systematic attempt to create a common ground for semi-classical and time-frequency analysis. These two different areas combined together provide intere…
Bypassing the Groenewold-van Hove Obstruction: A New Argument in Favor of Born-Jordan Quantization
Maurice de Gosson
There are known obstructions to a full quantization in the spirit of Dirac's approach, the most known being the Groenewold-van Hove no-go result. We show, following a suggestion of…