3 papers
quant-ph2024
Universality of the Weyl-Heisenberg symmetry and its covariant quantisations
Jean-Pierre Gazeau, Célestin Habonimana, Romain Murenzi +1
The Weyl-Heisenberg symmetries originate from translation invariances of various manifolds viewed as phase spaces, e.g. Euclidean plane, semi-discrete cylinder, torus, in the two-d…
quant-ph2022
Quantum models a la Gabor for space-time metric
Gilles Cohen-Tannoudji, Jean-Pierre Gazeau, Célestin Habonimana +1
As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space $\left(x,…
quant-ph2020
Signal analysis and quantum formalism: Quantizations with no Planck constant
Jean Pierre Gazeau, Celestin Habonimana
Signal analysis is built upon various resolutions of the identity in signal vector spaces, e.g. Fourier, Gabor, wavelets, etc. Similar resolutions are used as quantizers of functio…