Schr\"odinger-Wheeler-DeWitt equation in chaplygin gas FRW cosmological model
P. Pedram, S. Jalalzadeh, and S. S. Gousheh
TL;DR
This paper develops a quantum cosmological model with Chaplygin gas in FRW spacetime, deriving a Schr"odinger-Wheeler-DeWitt equation and analyzing the quantum behavior of the universe's scale factor.
Contribution
It introduces a quantum cosmological model using Schutz's formalism with Chaplygin gas, recovering time and constructing wave packets for different curvature cases.
Findings
Time-dependent expectation value of the scale factor analyzed.
Wave packets constructed from eigenfunctions.
Quantum behavior varies with spatial curvature.
Abstract
We present a chaplygin gas Friedmann-Robertson-Walker quantum cosmological model. In this work the Schutz's variational formalism is applied with positive, negative, and zero constant spatial curvature. In this approach the notion of time can be recovered. These give rise to Schr\"odinger-Wheeler-DeWitt equation for the scale factor. We use the eigenfunctions in order to construct wave packets for each case. We study the time dependent behavior of the expectation value of the scale factor, using the many-worlds interpretations of quantum mechanics.
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