We present a quantum model of the vacuum Bianchi-IX dynamics. It is based onfour main elements. First, we use a compound quantization procedure: an affinecoherent state quantization for isotropic variables and a Weyl quantization foranisotropic ones. Second, inspired by standard approaches in molecular physics,we make an adiabatic approximation (Born-Oppenheimer-like approximation).Third, we expand the anisotropy potential about its minimum in order to dealwith its harmonic approximation. Fourth, we develop an analytical treatment onthe semiclassical level. The resolution of the classical singularity occurs dueto a repulsive potential generated by the affine quantization. This procedureshows that during contraction the quantum energy of anisotropic degrees offreedom grows much slower than the classical one. Furthermore, far from thequantum bounce, the classical recollapse is reproduced. Our treatment is put inthe general context of methods of molecular physics, which can include bothadiabatic and nonadiabatic approximations.
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