126 citations
- University of MonsBE7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Université Paris-SaclayFR5 papers
- University of LiègeBE5 papers
- Laboratoire Ondes et Milieux ComplexesFR4 papers
- Polytechnic University of TimişoaraRO4 papers
- Université Le Havre NormandieFR4 papers
- Banaras Hindu UniversityIN3 papers
- Complexe de Recherche Interprofessionnel en AérothermochimieFR3 papers
- École Normale Supérieure Paris-SaclayFR3 papers
- Hungarian Academy of SciencesHU3 papers
- Laboratoire Aimé CottonFR3 papers
8 papers · 1 filter
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,…
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…
PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
Y. Brihaye, Ancilla Nininahazwe, Bhabani Prasad Mandal
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whether a matrix differential operator possesses one or several finite dimensional…
Quasi exactly solvable quantum lattice solitons
Y. Brihaye, N. Debergh, A. Nininahazwe
We extend the exactly solvable Hamiltonian describing quantum oscillators considered recently by J. Dorignac et al. by means of a new interaction which we choose as quasi exact…
Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials
N. Debergh, J. Ndimubandi, B. Van den Bossche
New finite-dimensional representations of specific polynomial deformations of sl(2,R) are constructed. The corresponding generators can be, in particular, realized through linear d…
A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates
N. Debergh, J. Ndimubandi, B. Van den Bossche
We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum i…