Abstract

Regularisation approach to the study of the quantum dynamics of the Mixmaster universe is presented. This allows to approximate the anisotropy potential with the explicitly integrable periodic 3-particle Toda system. Such approach is based on a covariant Weyl-Heisenberg integral quantization which naturally amplifies the dynamical role of the underlying Toda system by smoothing out the three canyons of the anisotropy potential.

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