  Within a cosmological framework, we provide a Hamiltonian analysis of the
Mixmaster Universe dynamics on the base of a standard Arnowitt-Deser-Misner
approach, showing how the chaotic behavior characterizing the evolution of the
system near the cosmological singularity can be obtained as the semiclassical
limit of the canonical quantization of the model in the same dynamical
representation. The relation between this intrinsic chaotic behavior and the
indeterministic quantum dynamics is inferred through the coincidence between
the microcanonical probability distribution and the semiclassical quantum one.
