Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology

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dc.creatorBojowald, Martin
dc.creatorRej, Adam
dc.date2005-04-21
dc.date.accessioned2026-07-07T03:29:40Z
dc.date.available2026-07-07T03:29:40Z
dc.descriptionIn loop quantum cosmology, a difference equation for the wave function describes the evolution of a universe model. This is different from the differential equations that arise in Wheeler-DeWitt quantizations, and some aspects of general properties of solutions can appear differently. Properties of particular interest are boundedness and the presence of small-scale oscillations. Continued fraction techniques are used to show in different matter models the presence of special initial conditions leading to bounded solutions, and an explicit expression for these initial values is derived.
dc.description27 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0504100
dc.identifierhttp://arxiv.org/abs/gr-qc/0504100
dc.identifierClass.Quant.Grav. 22 (2005) 3399-3420
dc.identifierdoi:10.1088/0264-9381/22/17/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35266
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleAsymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
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