  We consider quantization of the gravity-scalar field system in the
minisuperspace approximation. It turns out that in the gauge fixed
deparametrized theory where the scale factor plays the role of time, the
Hamiltonian can be uniquely defined without any ordering ambiguity as the
square root of a self-adjoint operator. Moreover, the Hamiltonian degenerates
to zero and the Schr\"{o}dinger equation becomes well behaved as the scale
factor vanishes. Therefore, there is no technical or physical obstruction for
the initial wave-function of the universe to be an arbitrary vector in the
Hilbert space, which demonstrates the severeness of the initial condition
problem in quantum cosmology.
