%0 Journal Article %T Approximate Canonical Quantization for Cosmological Models %A Marco Cavaglia %J Physics %D 1998 %I arXiv %R 10.1142/S0218271899000092 %X 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. %U http://arxiv.org/abs/gr-qc/9811025v1