Generating function techniques for loop quantum cosmology

Daniel Cartin, Gaurav Khanna, Martin Bojowald

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Loop quantum cosmology leads to a difference equation for the wavefunction 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 he œ, for the Bianchi I LRS model, how this can be done analytically, by 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.

Original languageEnglish (US)
Pages (from-to)4495-4509
Number of pages15
JournalClassical and Quantum Gravity
Volume21
Issue number18
DOIs
StatePublished - Sep 21 2004

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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