Work

Integrable Toda system as a quantum approximation to the anisotropy of the mixmaster universe

Year: 2018

Type: article

Abstract: We present a regularization approach to the study of the quantum dynamics of the mixmaster universe that allows us to approximate the anisotropy potential with the explicitly integrable periodic three-particle Toda potential. This approach is based on a Gaussian weighted Weyl integral quantization. Such a procedure naturally amplifies the dynamical role of the underlying Toda system by smoothing out the three canyons of the anisotropy potential. Since the respective eigenfunctions can be explicitly constructed, our finding paves the way to a perturbative approach to the quantum mixmaster dynamics.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.98.083512

Authors: Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau, Przemysław Małkiewicz

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Université Paris-Saclay, Institut des Sciences Moléculaires d'Orsay, National Centre for Nuclear Research, Centro Brasileiro de Pesquisas Físicas, Université Paris Diderot

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Karlstads universitet

OpenAlex ID: W2897788799

FWCI: 0.777

Cites: 38

Cited by: 10

Related to: 10