Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Bergeron, Herve"'
Publikováno v:
Phys. Rev. D 110, 043512 (2024)
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 perturbed Friedmann-Lemaitre-Robertson-Walker universe beyond a tensor-pro
Externí odkaz:
http://arxiv.org/abs/2405.09307
Publikováno v:
Phys. Rev. D 109, 023516 (2024)
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 expounded within the framework of covariant affine quantization, although
Externí odkaz:
http://arxiv.org/abs/2310.16868
Publikováno v:
Phys. Rev. D 108, 043534 (2023)
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 quantization method that respects the symmetries of the model given by the af
Externí odkaz:
http://arxiv.org/abs/2303.07873
Autor:
Bergeron, Herve, Czuchry, Ewa
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 as possible the numerical part of the EKB quantisation procedure, and
Externí odkaz:
http://arxiv.org/abs/2301.03929
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 the quantum version of this model for early universe. This quantum versi
Externí odkaz:
http://arxiv.org/abs/1911.02127
Publikováno v:
Phys. Rev. D 98, 026030 (2018)
We develop an approach to quantum dynamics based on quantum phase space trajectories. The latter are built from a unitary irreducible representation of the symmetry group of the respective classical phase space. We use a quantum action functional to
Externí odkaz:
http://arxiv.org/abs/1712.04813
Publikováno v:
JCAP 05 (2018) 057
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 canonically. The Hamiltonian constraint is de-parametrised by setting a
Externí odkaz:
http://arxiv.org/abs/1709.05851
We employ the framework of affine covariant quantization and associated semiclassical portrait to address two main issues in the domain of quantum gravitational systems: (i) the fate of singularities and (ii) the lack of external time. Our discussion
Externí odkaz:
http://arxiv.org/abs/1708.09670
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 dynamics of a positive physical quantity evolving with time, and its affine
Externí odkaz:
http://arxiv.org/abs/1708.06422
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, others are original. The list encompasses particular cases like Weyl
Externí odkaz:
http://arxiv.org/abs/1703.08443