  We investigate gravitational collapse in the context of quantum mechanics. We
take primary interest in the behavior of the collapse near the horizon and near
the origin (classical singularity) from the point of view of an infalling
observer. In the absence of radiation, quantum effects near the horizon do not
change the classical conclusions for an infalling observer, meaning the horizon
is not an obstacle for him. However, quantum effects are able to remove the
classical singularity at the origin, since the wave function is non-singular at
the origin. Also, near the classical singularity, some non-local effects become
important. In the Schrodinger equation describing behavior near the origin,
derivatives of the wave function at one point are related to the value of the
wave function at some other distant point.
