  Using the Hamiltonian constraint derived by Ashtekar and Bojowald, we look
for pre-classical wave functions in the Schwarzschild interior. In particular,
when solving this difference equation by separation of variables, an inequality
is obtained relating the Immirzi parameter $\gamma$ to the quantum ambiguity
$\delta$ appearing in the model. This bound is violated when we use a natural
value for $\delta$ based on loop quantum gravity together with a recent
proposal for $\gamma$. We also present numerical solutions of the constraint.
