Smooth quantum dynamics of the mixmaster universe

We present a new approach to the vacuum Bianchi IX model by combining affine coherent state quantization with Born-Oppenheimer-type adiabatic approximation in the analogy with quantum molecular physics. The analytical treatment is carried out on both quantum and semiclassical levels. Our quantizatio...

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Veröffentlicht in:Physical review. D 2015-09, Vol.92 (6), Article 061302
Hauptverfasser: Bergeron, Hervé, Czuchry, Ewa, Gazeau, Jean-Pierre, Małkiewicz, Przemysław, Piechocki, Włodzimierz
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Sprache:eng
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Zusammenfassung:We present a new approach to the vacuum Bianchi IX model by combining affine coherent state quantization with Born-Oppenheimer-type adiabatic approximation in the analogy with quantum molecular physics. The analytical treatment is carried out on both quantum and semiclassical levels. Our quantization method by itself generates a specific repulsive potential that resolves the classical singularity. The quantized oscillatory degrees of freedom behave as radiation energy density. The Friedmann-like lowest-energy eigenstates of the system are found to be dynamically stable against small anisotropy perturbations, in contrast to the classical case.
ISSN:1550-7998
2470-0010
1550-2368
2470-0029
DOI:10.1103/PhysRevD.92.061302