  We discuss the quantum states in the moduli space, which constructed with
maximally charged dilaton black holes. Considering the quantum mechanics in the
moduli space, we obtain the asymptotic states for the near-coincident black
holes and the widely separated black holes. We study the scattering process of
the dilaton black holes with the asymptotic states. In the scattering process,
the quantum effects in the black hole moduli space are investigated.
