Daniel Cartin et al 2004 Class. Quantum Grav. 21 4495 doi:10.1088/0264-9381/21/18/014
Daniel Cartin1, Gaurav Khanna2,3 and Martin Bojowald4
Show affiliationsLoop 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 here, 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.
Issue 18 (21 September 2004)
Received 26 May 2004
Published 6 September 2004
Daniel Cartin et al 2004 Class. Quantum Grav. 21 4495
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