activity
20012025
most citedIntegral quantizations with two basic examples

75 citations · 504 across the 34 of their papers we have counts for

collaborators

35 papers

gr-qc2025★ 4 cited

Non-Gaussianities as a Signature of Quantumness of Quantum Cosmology

Hervé Bergeron, Przemysław Małkiewicz, Patrick Peter

We show that the consistent application of the rules of quantum mechanics to cosmological systems inevitably results in the so-called multiverse states in which neither the backgro…

gr-qc2024★ 3 cited

Quantum entanglement and non-Gaussianity in the primordial Universe

Herve Bergeron, Przemyslaw Malkiewicz, Patrick Peter

We propose a new method to investigate signatures of a quantum gravity phase in the primordial state of cosmological perturbations. We formulate and study a quantum model of a pert…

quant-ph2023

A new class of exact coherent states: enhanced quantization of motion on the half-line

Hervé Bergeron, Jean-Pierre Gazeau, Przemysław Małkiewicz +1

We have discovered a class of dynamically stable coherent states for motion on the half-line. The regularization of the half-line boundary and the consequent quantum motion are exp…

gr-qc2023

Can a quantum mixmaster universe undergo a spontaneous inflationary phase?

Herve Bergeron, Jaime de Cabo Martin, Jean-Pierre Gazeau +1

We study a semiclassical model of the mixmaster universe. We first derive the quantum model and then introduce its semiclassical approximation. We employ a general integral quantiz…

gr-qc2023

Semi-Classical quantisation of 3-particles Toda lattice augmented; Application to the Mixmaster anisotropy Hamiltonian

Herve Bergeron, Ewa Czuchry

Usual approaches to quantisation of a 3-Toda lead to numerical calculations requiring many steps that can be time consuming to insure their reliability. In order to reduce as much…

gr-qc2019★ 21 cited

Quantum Mixmaster as a model of the Primordial Universe

Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau +1

The Mixmaster solution to Einstein field equations was examined by C. Misner in an effort to better understand the dynamics of the early universe. We highlight the importance of th…