2015/01/09 by Hervé Bergeron, Ewa Czuchry, Jean Pierre Gazeau +2 · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.92.061302
published as Phys. Rev. D 92, 061302 (2015) · 2 figures
arxiv created 2015/01/09 · arxiv updated 2015/09/16
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 analytical treatment is carried out on both quantum and semiclassical levels. The resolution of the classical singularity occurs by means of a repulsive potential generated by our quantization procedure. The quantization of the oscillatory degrees of freedom produces a radiation energy density term in the semiclassical constraint equation. The Friedmann-like lowest energy eigenstates of the system are found to be dynamically stable.