Abstract
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 c−1 are obtained. We compute the perturbed wavefunctions and show that the particles are bound less tightly together than in the Newtonian case.
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