Affine Coherent States in Quantum Cosmology
Résumé
A brief summary of the application of coherent states in the examination of quantum dynamics of cosmological models is given. We discuss quantization maps, phase space probability distributions and semiclassical phase spaces. The implementation of coherent states based on the affine group resolves the hardest singularities, renders self-adjoint Hamiltonians without boundary conditions and provides a completely consistent semiclassical description of the involved quantum dynamics. We consider three examples: the closed Friedmann model, the anisotropic Bianchi Type I model and the deep quantum domain of the Bianchi Type IX model.
Mots clés
Quantum cosmology
big bounce
semiclassical cosmology
affine quantization
coherent states
coherent state: affine
Bianchi: Type I
group: affine
phase space
boundary condition
gravitation: model
cosmological model
Friedman model
quantum cosmology
semiclassical
quantization
Hamiltonian
singularity
anisotropy