Pouria Pedram JCAP07(2008)006 doi:10.1088/1475-7516/2008/07/006
The quantum Stephani Universe in the vicinity of the symmetry center
Pouria Pedram
Show affiliationsWe study a class of spherically symmetric Stephani cosmological models in the presence of a self-interacting scalar field in both classical and quantum domains. We discuss the construction of 'canonical' wavepackets resulting from the solutions of a class of Wheeler–DeWitt equations in the Stephani Universe. We suggest appropriate initial conditions which result in wavepackets containing some desirable properties, most importantly good classical and quantum correspondence. We also study the situation from the de Broglie–Bohm interpretation of quantum mechanics viewpoint to recover the notion of time and compare the classical and Bohmian results. We show the usage of the canonical prescription and appropriate choices of expansion coefficients to result in the suppression of the quantum potential and coincidence of classical and Bohmian results. We show that, in some cases, contrary to the Friedmann–Robertson–Walker case, the bound state solutions also exist for all positive values of the cosmological constant.
- Keywords
- PACS
- Subjects
- Dates
-
Issue 07 (July 2008)
Received 22 October 2007, accepted for publication 1 June 2008
Published 4 July 2008
-
The quantum Stephani Universe in the vicinity of the symmetry center
Pouria Pedram JCAP07(2008)006
-
Photoelectron spectra from first principles: from the many-body to the single-particle picture
Michael Walter and Hannu Häkkinen 2008 New J. Phys. 10 043018
-
Experimental investigation and characterization of micro resistance welding with an electro-thermal actuator
Chun-Wei Chang et al 2009 J. Micromech. Microeng. 19 025001
-
Dirac equation for the supermembrane in a background with fluxes from a component description of the D = 11 supergravity-supermembrane interacting system
Igor A. Bandos and José A. de Azcárraga JHEP09(2005)064
-
A numerical simulation of pre-big bang cosmology
Jnanadeva Maharana et al JHEP04(1998)004
-
The momentum and the angular momentum of the Universe revisited. Some preliminary results
Ramon Lapiedra et al 2007 J. Phys.: Conf. Ser. 66 012018
-
BIPM comparison BIPM.RI(II)-K1.Hg-203 of activity measurements of the radionuclide 203Hg
G Ratel and C Michotte 2003 Metrologia 40 06013
-
Electrospun gelatin fiber mats containing a herbal—Centella asiatica—extract and release characteristic of asiaticoside
Panprung Sikareepaisan et al 2008 Nanotechnology 19 015102
-
Advances in application potential of adsorptive-type solid state gas sensors: high-temperature semiconducting oxides and ambient temperature GasFET devices
Maximilian Fleischer 2008 Meas. Sci. Technol. 19 042001
-
Sparticles at the LHC
Daniel Feldman et al JHEP04(2008)054
Users also read
What's this?- Is a classical language adequate in assessing the detectability of the redshifted 21 cm signal from the early Universe?
- DEFROST: a new code for simulating preheating after inflation
- Signatures of non-Gaussianity in the curvaton model
fluxes from collisions of cosmic rays with dark matterRelated review articles
What's this?- Does the growth of structure affect our dynamical models of the Universe? The averaging, backreaction, and fitting problems in cosmology
- Scattering amplitudes: the most perfect microscopic structures in the universe
- Loop quantum cosmology: a status report