Generating function techniques for loop quantum cosmology

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dc.creatorCartin, Daniel
dc.creatorKhanna, Gaurav
dc.creatorBojowald, Martin
dc.date2004-05-26
dc.date2004-08-25
dc.date.accessioned2026-07-07T12:55:47Z
dc.date.available2026-07-07T12:55:47Z
dc.descriptionLoop quantum cosmology leads to a difference equation for the wave function of a universe, which in general has solutions changing rapidly even when the volume changes only slightly. For a semiclassical regime such small-scale oscillations must be suppressed, by choosing the parameters of the solution appropriately. For anisotropic models this is not possible to do numerically by trial and error; instead, it is shown here for the Bianchi I LRS model how this can be done analytically, using generating function techniques. Those techniques can also be applied to more complicated models, and the results gained allow conclusions about initial value problems for other systems.
dc.description22 pages, 5 figures; version to appear in CQG
dc.identifierhttps://arxiv.org/abs/gr-qc/0405126
dc.identifierhttp://arxiv.org/abs/gr-qc/0405126
dc.identifierClass.Quant.Grav.21:4495,2004
dc.identifierdoi:10.1088/0264-9381/21/18/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224371
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleGenerating function techniques for loop quantum cosmology
dc.typetext

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