Vibronic framework for quantum mixmaster universe
Herv\'e Bergeron, Ewa Czuchry, Jean-Pierre Gazeau, Przemys{\l}aw, Ma{\l}kiewicz
TL;DR
This paper develops a vibronic framework for the quantum mixmaster universe, applying molecular physics techniques to analyze its dynamical properties within a harmonic approximation of the anisotropy potential.
Contribution
It introduces a vibronic approach to quantum cosmology, extending previous work on Bianchi-IX models with analytical solutions under harmonic approximation.
Findings
Analytical expressions for the model's dynamics derived
Enhanced understanding of anisotropy behavior in quantum cosmology
Extension of molecular physics methods to cosmological models
Abstract
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 elaborate analysis of the dynamical properties of the model based the vibronic approach utilized in molecular physics. As in the previous papers, we restrict our approach to the harmonic approximation of the anisotropy potential in order to obtain resoluble analytical expressions.
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