The quantum Stephani Universe in the vicinity of the symmetry center

Journal Article · Tue Jul 15 04:00:00 EDT 2008 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2008/07/006· OSTI ID:22156676

Pedram, Pouria ^[1]

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1. Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka 577-8502 (Japan)

We 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.

• OSTI ID: 22156676
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 07 Vol. 2008; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BOUND STATE
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
DE BROGLIE WAVELENGTH
EXPANSION
MATHEMATICAL SOLUTIONS
POTENTIALS
QUANTUM GRAVITY
QUANTUM MECHANICS
SCALAR FIELDS
SPHERICAL CONFIGURATION
SYMMETRY
UNIVERSE
WAVE PACKETS