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19992026
most citedTemporally stable coherent states for infinite well and Pöschl-Teller potentials

222 citations · 1.6k across the 117 of their papers we have counts for

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gr-qc2026

Finite-resolution measurement induces topological curvature defects in spacetime

Ewa Czuchry, Jean-Pierre Gazeau

We show that regularizing -dimensional Minkowski spacetime with a finite-resolution Gaussian probe, analogous to Weyl-Heisenberg (Gabor) signal analysis and related quantiza…

gr-qc2025

A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry

Jean-Pierre Gazeau, Hamed Pejhan

We develop a conformally invariant (CI) framework in -dimensional de Sitter (dS) spacetime, that unifies the descriptions of graviton, ``partially massless'' graviton, and p…

gr-qc2024★ 1 cited

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…

gr-qc2024★ 2 cited

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…

gr-qc2023★ 6 cited

Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime

Jean-Pierre Gazeau, Hamed Pejhan

We present a covariant quantization scheme for the so-called "partially massless" graviton field in de Sitter spacetime. Our approach is founded on the principles of the de Sitter…

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-qc2021★ 10 cited

Cold Dark Matter: A Gluonic Bose--Einstein Condensate in Anti-de Sitter Space Time

Gilles Cohen-Tannoudji, Jean-Pierre Gazeau

In the same way as the realization of some of the famous gedanken experiments imagined by the founding fathers of quantum mechanics has recently led to the current renewal of the i…

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…

gr-qc2019★ 6 cited

"Massive" Rarita-Schwinger field in de Sitter space

Hamed Pejhan, Mohammad Enayati, Jean-Pierre Gazeau +1

We present a covariant quantization of the "massive" spin- Rarita-Schwinger field in de Sitter (dS) spacetime. The dS group representation theory and its Wigner inte…

gr-qc2019★ 9 cited

Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime

Hamed Pejhan, Mohammad Enayati, Jean-Pierre Gazeau +1

In a recent Letter, we have pointed out that the linearized Einstein gravity in de Sitter (dS) spacetime besides the spacetime symmetries generated by the Killing vectors and the e…

gr-qc2018★ 10 cited

Integrable Toda system as a quantum approximation to the anisotropy of Mixmaster

H. Bergeron, E. Czuchry, J. -P. Gazeau +1

We present a regularisation approach to the study of the quantum dynamics of the Mixmaster universe which allows to approximate the anisotropy potential with the explicitly integra…

gr-qc2017★ 13 cited

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…

gr-qc2017★ 16 cited

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…

gr-qc2016★ 4 cited

Higgs Field and the Massless Minimally Coupled Scalar Field in de Sitter Universe

Jean Pierre Gazeau, Mohammad Vahid Takook

The massless minimally coupled scalar field in de Sitter ambient space formalism might play a similar role to what the Higgs scalar field accomplishes within the electroweak standa…

gr-qc2015★ 22 cited

Vibronic framework for quantum mixmaster universe

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

Following our previous papers concerning the quantization of the vacuum Bianchi-IX model within or beyond the Born-Oppenheimer and adiabatic approximation, we develop a more elabor…

gr-qc2015★ 12 cited

Nonadiabatic bounce and an inflationary phase in the quantum mixmaster universe

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

Following our previous paper, Bergeron et al, Smooth quantum dynamics of the mixmaster universe, Phys. Rev. D 92, 061302(R) (2015), concerning the quantization of the vacuum Bianch…

gr-qc2015★ 11 cited

Smooth Bounce in Affine Quantization of Bianchi I

Herve Bergeron, Andrea Dapor, Jean-Pierre Gazeau +1

We present the affine coherent state quantization of the Bianchi I model. As in our previous paper on quantum theory of Friedmann models, we employ a variable associated with a per…

gr-qc2015★ 38 cited

Smooth Quantum Dynamics of Mixmaster Universe

Hervé Bergeron, Ewa Czuchry, Jean Pierre Gazeau +2

We present a quantum version of the vacuum Bianchi IX model by implementing affine coherent state quantization combined with a Born-Oppenheimer-like adiabatic approximation. The an…

gr-qc2015★ 38 cited

Singularity avoidance in a quantum model of the Mixmaster universe

Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau +2

We present a quantum model of the vacuum Bianchi-IX dynamics. It is based on four main elements. First, we use a compound quantization procedure: an affine coherent state quantizat…

gr-qc2013★ 53 cited

Smooth Big Bounce from Affine Quantization

Herve Bergeron, Andrea Dapor, Jean Pierre Gazeau +1

We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantizatio…

gr-qc2013★ 4 cited

Quantum states of the bouncing universe

Jean Pierre Gazeau, Jakub Mielczarek, Wlodzimierz Piechocki

In this paper we study quantum dynamics of the bouncing cosmological model. We focus on the model of the flat Friedman-Robertson-Walker universe with a free scalar field. The bounc…

gr-qc2009★ 6 cited

A discrete nonetheless remarkable brick in de Sitter: the "massless minimally coupled field"

Jean-Pierre Gazeau, Ahmed Youssef

Over the last ten years interest in the physics of de Sitter spacetime has been growing very fast. Besides the supposed existence of a "de sitterian period" in inflation theories,…

gr-qc2006★ 20 cited

The nature of and the mass of the graviton: A critical view

Jean-Pierre Gazeau, Mario Novello

The existence of a non-zero cosmological constant gives rise to controversial interpretations. Is a universal constant fixing the geometry of an empty universe, as fundamen…

gr-qc2006★ 67 cited

"Massless" vector field in de Sitter Universe

T. Garidi, J-P. Gazeau, S. Rouhani +1

In the present work the massless vector field in the de Sitter (dS) space has been quantized. "Massless" is used here by reference to conformal invariance and propagation on the dS…