R B Mann and M B Young 2007 Class. Quantum Grav. 24 951 doi:10.1088/0264-9381/24/4/014
R B Mann1 and M B Young1,2
Show affiliationsWe 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.
04.60.Ds Canonical quantization
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
Issue 4 (21 February 2007)
Received 8 November 2006, in final form 22 December 2006
Published 29 January 2007
R B Mann and M B Young 2007 Class. Quantum Grav. 24 951