56 citations · 520 across the 52 of their papers we have counts for
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On the Dependence of Quantum States on the Value of Planck's Constant
Maurice de Gosson, Makan Mohageg
We begin by discussing known theoretical results about the sensitivity of quantum states to changes in the value of Planck's constant h. These questions are related to positivity i…
On the symplectic covariance and interferences of time-frequency distributions
Elena Cordero, Maurice de Gosson, Monika Doerfler +1
We study the covariance property of quadratic time-frequency distributions with respect to the action of the extended symplectic group. We show how covariance is related, and in fa…
Quantum Trajectories: Dirac, Moyal and Bohm
B. J. Hiley, M. A. de Gosson, G. Dennis
We recall Dirac's early proposals to develop a description of quantum phenomena in terms of a non-commutative algebra in which he suggested a way to construct what he called `quant…
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…
Born-Jordan Pseudodifferential Operators and the Dirac Correspondence: Beyond the Groenewold-van Hove Theorem
Maurice de Gosson, Fabio Nicola
Quantization procedures play an essential role in microlocal analysis, time-frequency analysis and, of course, in quantum mechanics. Roughly speaking the basic idea, due to Dirac,…
Observing Quantum Trajectories: From Mott's Problem to Quantum Zeno Effect and Back
Maurice de Gosson, Basil Hiley, Eliahu Cohen
The experimental results of Kocsis et al., Mahler et al. and the proposed experiments of Morley et al. show that it is possible to construct "trajectories" in interference regions…