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Aspects of Quantum Cosmology Addressing Non Unitarity in Anisotropic Models

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 12:35
    Last Modified: 14 Jan 2015 12:35
    URI: http://eprints.iiserkol.ac.in/id/eprint/188

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