We study a Hamiltonian quantum formalism of a spherically symmetric
space-time which can be identified with the interior of a Schwarzschild black
hole. The phase space of this model is spanned by two dynamical variables and
their conjugate momenta. It is shown that the classical Lagrangian of the model
gives rise the interior metric of a Schwarzschild black hole. We also show that
the the mass of such a system is a Dirac observable and then by quantization of
the model by Wheeler-DeWitt approach and constructing suitable wave packets we
get the mass spectrum of the black hole.Comment: 12 pages, 1 figure, revised versio