Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-11-22
Phys.Lett.B671:1-6,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, 4 figures, to appear in PLB
Scientific paper
10.1016/j.physletb.2008.11.045
We propose a new initial condition for the homogeneous and isotropic quantum cosmology, where the source of the gravitational field is a conformally coupled scalar field, and the maximally symmetric hypersurfaces have positive curvature. After solving corresponding Wheeler-DeWitt equation, we obtain exact solutions in both classical and quantum levels. We propose appropriate initial condition for the wave packets which results in a complete classical and quantum correspondence. These wave packets closely follow the classical trajectories and peak on them. We also quantify this correspondence using de-Broglie Bohm interpretation of quantum mechanics. Using this proposal, the quantum potential vanishes along the Bohmian paths and the classical and Bohmian trajectories coincide with each other. We show that the model contains singularities even at the quantum level. Therefore, the resulting wave packets closely follow the classical trajectories from big-bang to big-crunch.
No associations
LandOfFree
On the conformally coupled scalar field quantum cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the conformally coupled scalar field quantum cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the conformally coupled scalar field quantum cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-721447