Perturbative Quantum Gravity Coupled to Particles in (1+1)-Dimensions

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

19 pages, Latex, 4 figures

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• Centrifugal quantum states of neutrons
• N-body Gravity and the Schroedinger Equation
• Gaugeon Formalism for Perturbative Quantum Gravity
• Relativistic quantum bouncing particles in a homogeneous gravitational field
• One-Dimensional Relativistic Self-Gravitating Systems