  In the present paper we generalize the original work of C.W. Misner
\cite{M69q} about the quantum dynamics of the Bianchi type IX geometry near the
cosmological singularity. We extend the analysis to the generic inhomogeneous
universe by solving the super-momentum constraint and outlining the dynamical
decoupling of spatial points. Firstly, we discuss the classical evolution of
the model in terms of the Hamilton-Jacobi approach as applied to the
super-momentum and super-Hamiltonian constraints; then we quantize it in the
approximation of a square potential well after an ADM reduction of the dynamics
with respect to the super-momentum constraint only. Such a reduction relies on
a suitable form for the generic three-metric tensor which allows the use of its
three functions as the new spatial coordinates. We get a functional
representation of the quantum dynamics which is equivalent to the Misner-like
one when extended point by point, since the Hilbert space factorizes into
$\infty^3$ independent components due to the parametric role that the
three-coordinates assume in the asymptotic potential term. Finally, we discuss
the conditions for having a semiclassical behavior of the dynamics and we
recognize that this already corresponds to having mean occupation numbers of
order $\mathcal{O}(10^2)$.
