Schrödinger-Wheeler-DeWitt equation in chaplygin gas FRW cosmological model

Details Schrödinger-Wheeler-DeWitt equation in chaplygin gas FRW cosmological model Schrödinger-Wheeler-DeWitt equation in chaplygin gas FRW cosmological model

2007-05-24

arxiv.org/abs/0705.3587v1

Int.J.Theor.Phys.46:3201-3208,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 1 figure, to appear in IJTP

Scientific paper

10.1007/s10773-007-9436-9

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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