222 citations · 1.6k across the 117 of their papers we have counts for
7 papers · 1 filter
Primordial gravitational waves in a quantum model of big bounce
Hervé Bergeron, Jean Pierre Gazeau, Przemysław Małkiewicz
We quantise and solve the dynamics of gravitational waves in a quantum Friedmann-Lemaitre-Robertson-Walker spacetime filled with perfect fluid. The classical model is formulated ca…
Three examples of quantum dynamics on the half-line with smooth bouncing
Carla Rodrigues Almeida, Hervé Bergeron, Jean Pierre Gazeau +1
This article is an introductory presentation of the quantization of the half-plane based on affine coherent states (ACS). The half-plane is viewed as the phase space for the dynami…
Quantum localisation on the circle
Rodrigo Fresneda, Jean Pierre Gazeau, Diego Noguera
Covariant integral quantisation using coherent states for semidirect product groups is studied and applied to the motion of a particle on the circle. In the present case the group…
More quantum centrifugal effect in rotating frame
J. -P. Gazeau, T. Koide, R. Murenzi
The behaviour of quantum systems in non-inertial frames is revisited from the point of view of affine coherent state (ACS) quantization. We restrict our approach to the one-particl…
Weyl-Heisenberg integral quantization(s): a compendium
Hervé Bergeron, Evaldo M. F. Curado, Jean-Pierre Gazeau +1
We present a list of formulae useful for Weyl-Heisenberg integral quantizations, with arbitrary weight, of functions or distributions on the plane. Most of these formulae are known…
Spectral properties of the quantum Mixmaster universe
Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau +1
We study the spectral properties of the anisotropic part of Hamiltonian entering the quantum dynamics of the Mixmaster universe. We derive the explicit asymptotic expressions for t…