  We extend here the canonical treatment of spherically symmetric (quantum)
gravity to the most simple matter coupling, namely spherically symmetric
Maxwell theory with or without a cosmological constant. The quantization is
based on the reduced phase space which is coordinatized by the mass and the
electric charge as well as their canonically conjugate momenta, whose
geometrical interpretation is explored. The dimension of the reduced phase
space depends on the topology chosen, quite similar to the case of pure (2+1)
gravity. We investigate several conceptual and technical details that might be
of interest for full (3+1) gravity. We use the new canonical variables
introduced by Ashtekar, which simplifies the analysis tremendously.
