  Consider a point scatterer (the Laplacian perturbed by a delta-potential) on
the standard three-dimensional flat torus. Together with the eigenfunctions of
the Laplacian which vanish at the point, this operator has a set of new,
perturbed eigenfunctions. In a recent paper, the author was able to show that
all of the perturbed eigenfunctions are uniformly distributed in configuration
space. In this paper we prove that almost all of these eigenfunctions are
uniformly distributed in phase space, i.e. we prove quantum ergodicity for the
subspace of the perturbed eigenfunctions. An analogue result for a point
scatterer on the two-dimensional torus was recently proved by Kurlberg and
Uebersch\"ar.
