56 citations · 520 across the 52 of their papers we have counts for
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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…
Quantum Harmonic Analysis of the Density Matrix
Maurice A. de Gosson
We will study rigorously the notion of mixed states and their density operators (or matrices.) We will also discuss the quantum-mechanical consequences of possible variations of Pl…
Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces
Maurice de Gosson, Joachim Toft
We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when Hörmander symbols and certain types of modulation spaces are used as sym…