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.

PACS numbers: 04.60.−m, 04.40.−b, 04.25.Nx

Print publication: Issue 4 (21 February 2007)
Received 8 November 2006, in final form 22 December 2006
Published 29 January 2007