The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation
arXiv:1612.03047 · doi:10.1007/s10714-016-2178-3
Abstract
In this paper we study the quantum cosmology of homogeneous and isotropic cosmology, via the Weyl-Wigner-Groenewold-Moyal formalism of phase space quantization, with perfect fluid as a matter source. The corresponding quantum cosmology is described by the Moyal-Wheeler-DeWitt equation which has exact solutions in Moyal phase space, resulting in Wigner quasiprobability distribution functions peaking around the classical paths for large values of scale factor. We show that the Wigner functions of these models are peaked around the non-singular universes with quantum modified density parameter of radiation.
8 pages, 2 figures, to appear in Gen. Rel. Grav
References in corpus (12)
- The Classical Universes of the No-Boundary Quantum State
- Cosmology without inflation
- Holography from quantum cosmology
- Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid
- Feynman-Weinberg Quantum Gravity and the Extended Standard Model as a Theory of Everything
- Stephani-Schutz quantum cosmology
- Perfect fluid quantum Universe in the presence of negative cosmological constant
- Quantum cosmology with varying speed of light: canonical approach
- Signature change from Schutz's canonical quantum cosmology and its classical analogue
- n-Dimensional FLRW Quantum Cosmology
- Quantum Stephani exact cosmological solutions and the selection of time variable
- Classical Universe emerging from quantum cosmology without horizon and flatness problems