Vibronic framework for quantum mixmaster universe

Hervé Bergeron (1) , Ewa Czuchry (2) , Jean-Pierre Gazeau (3, 4) , Przemysław Małkiewicz (3, 2)

1 ISMO - Institut des Sciences Moléculaires d'Orsay
2 National Centre for Nuclear Research (Warszawa)
3 APC (UMR_7164) - AstroParticule et Cosmologie
4 CBPF - Centro Brasileiro de Pesquisas Físicas

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 on 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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique Générale [physics.gen-ph]

Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau, Przemysław Małkiewicz. Vibronic framework for quantum mixmaster universe. Physical Review D, 2016, 93 (6), pp.064080. ⟨10.1103/PhysRevD.93.064080⟩. ⟨hal-01553861⟩