Pal, Sridip (2014) Aspects of Quantum Cosmology Addressing Non Unitarity in Anisotropic Models. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Abstract
Anisotropic Quantum Bianchi-I model has been been analysed via Schutz for- malism. Normalisable unitary solution of the Hamiltonian describing Bianchi-I universe with sti�ff fluid (P = ρ�) is obtained. For other equation of states of fluid i.e P = αρ�� with � α= ≠1, the operators are reordered in a way so as to give Hamil- tonian, which has a self-adjoint extension.The normalisable solutions are obtained for the model with characterisation of eigenvalue spectra of that Hamiltonian. Similar operator ordering has been applied to Quantum Bianchi-V model with a distribution of string and unitary solutions have been obtained. It is concluded that non unitarity is not a generic feature of anisotropic models, it can be cured via a clever choice of operator ordering.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Prof. Narayan Banerjee |
| Uncontrolled Keywords: | Anisotropic Models; Bianchi-I Model; Bianchi-V Model; Non Unitarity; Quantization; Quantum Cosmology; Quantization of Bianchi-I Model; Schutz's Formalism; |
| Subjects: | Q Science > QC Physics |
| Divisions: | Department of Physical Sciences |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 14 Jan 2015 07:05 |
| Last Modified: | 14 Jan 2015 07:05 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/188 |
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