Wave functions for the Schwarzschild black hole interior

Using the Hamiltonian constraint derived by Ashtekar and Bojowald, we look for preclassical 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.