56 citations · 520 across the 52 of their papers we have counts for
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Deforming the Window of a Gabor Frame: the Ellipsoid Method
Maurice A. de Gosson
In a recent paper in Appl. Comput. Harmon. Anal. 38(2), 196--221 (2014) we have introduced and studied the notion of weak Hamiltonian deformation of a Gabor (=Weyl-Heisenberg) fram…
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…
On the Invertibility of Born-Jordan Quantization
Elena Cordero, Maurice de Gosson, Fabio Nicola
As a consequence of the Schwartz kernel Theorem, any linear continuous operator can…
Short-Time Propagators and the Born--Jordan Quantization Rule
Maurice A. de Gosson
We have shown in previous work that the equivalence of the Heisenberg and Schrödinger pictures of quantum mechanics requires the use of the Born and Jordan quantization rules. In t…
Discrete coherent states for higher Landau levels
L. D. Abreu, P. Balazs, M. de Gosson +1
We consider the quantum dynamics of a charged particle evolving under the action of a constant homogeneous magnetic field, with emphasis on the discrete subgroups of the Heisenberg…
The Angular Momentum Dilemma and Born-Jordan Quantization
Maurice A. de Gosson
We have shown in previous work that the rigorous equivalence of the Schrödinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantizatio…