  We analyze the Wheeler-DeWitt (WDW) equation in the context of a
gravitational collapse. The physics of an expanding/collapsing universe and
many details of a collapsing star can classically be described by the
Roberston-Walker metric in which the WDW equation takes the form of a
times-less Schr\"odinger equation. We set up the corresponding WDW potential
for the collapse and study the solutions of the wave function. The results show
that the central singularity appearing in classical general relativity is
avoided, the density is quantized in terms of the Planck density and the
expectation value of the scale factor exhibits a discrete behavior.
