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arXiv · 1204.3505

Conserved quantities in isotropic loop quantum cosmology

Daniel Cartin
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Abstract

We develop an action principle for those models arising from isotropic loop quantum cosmology, and show that there is a natural conserved quantity $Q$ for the discrete difference equation arising from the Hamiltonian constraint. This quantity $Q$ relates the semi-classical limit of the wavefunction at large values of the spatial volume, but opposite triad orientations. Moreover, there is a similar quantity for generic difference equations of one parameter arising from a self-adjoint operator.

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Daniel Cartin. 2012-04-16. Conserved quantities in isotropic loop quantum cosmology. https://doi.org/10.1209/0295-5075%2F98%2F30007

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