222 citations · 1.6k across the 117 of their papers we have counts for
9 papers · 1 filter
Weyl-Heisenberg covariant quantization for the discrete torus
Romain Murenzi, Aidan Zlotak, Jean Pierre Gazeau
Covariant integral quantization is implemented for systems whose phase space is , i.e., for systems moving on the discrete periodic set …
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…
A purely geometrical Aharonov-Bohm effect
Jean-Pierre Gazeau, Tomoi Koide, Romain Murenzi +1
We present an application of the affine covariant integral quantization (ACIQ) (Adv. Oper. Theory, 5, 2020; Adv. Oper. Theory, 7, 2022) to quantum mechanics on the punctured plane.…
Matter-antimatter (a)symmetry in de Sitter Universe
Jean-Pierre Gazeau, Hamed Pejhan
We investigate the matter-antimatter properties of elementary systems, modeled as free quantum fields, within the global structure of de Sitter spacetime. By leveraging the distinc…
Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp group. With an isomorphic relation…
Quantum circuit complexity for linearly polarised light
E. M. F. Curado, S. Faci, J. P. Gazeau +3
In this study, we explore a form of quantum circuit complexity that extends to open systems. To illustrate our methodology, we focus on a basic model where the projective Hilbert s…
Regularized quantum motion in a bounded set: Hilbertian aspects
Fabio Bagarello, Jean-Pierre Gazeau, Camillo Trapani
It is known that the momentum operator canonically conjugated to the position operator for a particle moving in some bounded interval of the line {(with Dirichlet boundary conditio…
A misleading naming convention: de Sitter `tachyonic' scalar fields
Jean-Pierre Gazeau, Hamed Pejhan
We revisit the concept of de Sitter (dS) 'tachyonic' scalar fields, characterized by discrete negative squared mass values, and assess their physical significance through a rigorou…
Biomechanical comparison between manual and motorless device assisted patient handling: sitting to and from standing position
Jean-Baptiste Riccoboni, Tony Monnet, Antoine Eon +3
Background: Occupational safety and health institutions report that caregivers areparticularly at risk of developing work-related musculoskeletal disorders (WRMSDs) andpatient hand…