  We consider the problem of (1+1)-dimensional quantum gravity coupled to
particles. Working with the canonically reduced Hamiltonian, we obtain its
post-Newtonian expansion for two identical particles. We quantize the
(1+1)-dimensional Newtonian system first, after which explicit energy
corrections to second order in 1/c are obtained. We compute the perturbed
wavefunctions and show that the particles are bound less tightly together than
in the Newtonian case.
