Romain Murenzi

Prof. Romain Murenzi

The World Academy of Sciences, Trieste, Friuli-Venezia Giulia, Italy
orcid

Research Focus & Metrics

Academic Career Length

30Years (1997-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
1 May 2016 in Journal of Mathematical Physics
Verified
Journal Article
Closed access
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
RMRomain Murenzi
Romain Murenzi
Covariant affine integral quantization of the half-plane is studied and applied to the motion of a particle on the half-line. We examine the consequences of different quantizer operators built from weight functions on the half-plane. To illustrate the procedure, we examine two particular choices of the weight function, yielding thermal density operators and affine inversion, respectively. The former gives rise to a temperature-dependent probability distribution on the half-plane whereas the latter yields the usual canonical quantization and a quasi-probability distribution (affine Wigner function) which is real, marginal in both momentum p and position q.

24 January 2020 in Advances in Operator Theory
Verified
Journal Article
Closed access
PDF file
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
TKTomoi Koide
Tomoi Koide
RMRomain Murenzi
Romain Murenzi

21 September 2022 in Quantum Reports
Verified
Journal Article
Open access
PDF file
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
RMRomain Murenzi
Romain Murenzi
Covariant integral quantizations are based on the resolution of the identity by continuous or discrete families of normalized positive operator valued measures (POVM), which have appealing probabilistic content and which transform in a covariant way. One of their advantages is their ability to circumvent problems due to the presence of singularities in the classical models. In this paper, we implement covariant integral quantizations for systems whose phase space is Z×S1, i.e., for systems moving on the circle. The symmetry group of this phase space is the discrete & compact version of the Weyl–Heisenberg group, namely the central extension of the abelian group Z×SO(2). In this regard, the phase space is viewed as the right coset of the group with its center. The non-trivial unitary irreducible representation of this group, as acting on L2(S1), is square integrable on the phase space. We show how to derive corresponding covariant integral quantizations from (weight) functions on the phase space and resulting resolution of the identity. As particular cases of the latter we recover quantizations with de Bièvre-del Olmo–Gonzales and Kowalski–Rembielevski–Papaloucas coherent states on the circle. Another straightforward outcome of our approach is the Mukunda Wigner transform. We also look at the specific cases of coherent states built from shifted gaussians, Von Mises, Poisson, and Fejér kernels. Applications to stellar representations are in progress.

12 July 2023 in Physical Review Research
Verified
Journal Article
Open access
PDF file
NFNicolas Fabre
Nicolas Fabre
Andrei KlimovAndrei Klimov
Andrei Klimov
RMRomain Murenzi
Romain Murenzi
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
Luis L. Sáchez SotoLuis L. Sáchez Soto
Luis L. Sáchez Soto
Majorana stellar representation, which visualizes a quantum spin as points on the Bloch sphere, allows quantum mechanics to accommodate the concept of trajectory, the hallmark of classical physics. We extend this notion to the discrete cylinder, which is the phase space of the canonical pair angle and orbital angular momentum. We demonstrate that the geometrical properties of the ensuing constellations aptly encapsulate the quantumness of the state.

11 April 2022 in Advances in Operator Theory
Verified
Journal Article
Open access
PDF file
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
TKTomoi Koide
Tomoi Koide
RMRomain Murenzi
Romain Murenzi

11 August 2025 in Physical Review A
Verified
Journal Article
Closed access
Jean-Pierre GazeauJean-Pierre Gazeau
Jean-Pierre Gazeau
TKTomoi Koide
Tomoi Koide
RMRomain Murenzi
Romain Murenzi
AZAidan Zlotak
Aidan Zlotak