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arXiv · 1411.1167

Restoring unitarity in anisotropic quantum cosmological models

Sridip Pal·Narayan Banerjee
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Abstract

The present work shows that a properly chosen ordering of operators can restore unitarity in anisotropic quantum cosmological models. Bianch V and Bianchi IX models with a perfect fluid are worked out. It has been shown that a transformation of coordinates takes the Hamiltonian to that of an inverse square potential which has equal deficiency indices and a self-adjoint extension is thus possible. It is also shown, although not detected clearly before, that isotropic models are also apt to violate the conservation of probability for a careless operator ordering.

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Sridip Pal, Narayan Banerjee. 2015-02-26. Restoring unitarity in anisotropic quantum cosmological models. https://doi.org/10.1103/physrevd.91.044042

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