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math-ph2017
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…
math-ph2017★ 3 cited
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…