Deformed phase space in a two dimensional minisuperspace model

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dc.creatorSepangi, H. R.
dc.creatorShakerin, B.
dc.creatorVakili, B.
dc.date2009-01-24
dc.date.accessioned2026-07-07T13:01:07Z
dc.date.available2026-07-07T13:01:07Z
dc.descriptionWe study the effects of noncommutativity and deformed Heisenberg algebra on the evolution of a two dimensional minisuperspace cosmological model in classical and quantum regimes. The phase space variables turn out to correspond to the scale factor of a flat FRW model with a positive cosmological constant and a dilatonic field with which the action of the model is augmented. The exact classical and quantum solutions in commutative and noncommutative cases are presented. We also obtain some approximate analytical solutions for the corresponding classical and quantum cosmology in the presence of the deformed Heisenberg relations between the phase space variables, in the limit where the minisuperspace variables are small. These results are compared with the standard commutative and noncommutative cases and similarities and differences of these solutions are discussed.
dc.description20 pages, 7 figures + 4 contourplots, to appear in CQG
dc.identifierhttps://arxiv.org/abs/0901.3829
dc.identifierhttp://arxiv.org/abs/0901.3829
dc.identifierClass.Quant.Grav.26:065003,2009
dc.identifierdoi:10.1088/0264-9381/26/6/065003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226052
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDeformed phase space in a two dimensional minisuperspace model
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