On the physical Hilbert space of loop quantum cosmology
Nov, 2004Citations per year
Abstract: (arXiv)
In this paper we present a model of Riemannian loop quantum cosmology with a self-adjoint quantum scalar constraint. The physical Hilbert space is constructed using refined algebraic quantization. When matter is included in the form of a cosmological constant, the model is exactly solvable and we show explicitly that the physical Hilbert space is separable consisting of a single physical state. We extend the model to the Lorentzian sector and discuss important implications for standard loop quantum cosmology.- 98.80.Qc
- 98.80.Jk
- 04.60.Pp
- 04.60.Kz
- quantum cosmology
- loop space
- Hilbert space
- cosmological constant
- quantization: algebra
- constraint
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