Approximate Canonical Quantization for Cosmological Models
arXiv:gr-qc/9811025 · doi:10.1142/S0218271899000092
Abstract
In cosmology minisuperspace models are described by nonlinear time-reparametrization invariant systems with a finite number of degrees of freedom. Often these models are not explicitly integrable and cannot be quantized exactly. Having this in mind, we present a scheme for the (approximate) quantization of perturbed, nonintegrable, time-reparametrization invariant systems that uses (approximate) gauge invariant quantities. We apply the scheme to a couple of simple quantum cosmological models.
16 pages, Latex, accepted for publication in Int. Jou. Mod. Phys. D