Approximate Canonical Quantization for Cosmological Models

Details Approximate Canonical Quantization for Cosmological Models Approximate Canonical Quantization for Cosmological Models

1998-11-09

arxiv.org/abs/gr-qc/9811025v1

Int.J.Mod.Phys. D8 (1999) 101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, Latex, accepted for publication in Int. Jou. Mod. Phys. D

Scientific paper

10.1142/S0218271899000092

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.

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