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Aspects of Quantum Cosmology Addressing Non Unitarity in Bianchi Models

Pandey, Sachin (2015) Aspects of Quantum Cosmology Addressing Non Unitarity in Bianchi Models. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    The present work analysed anisotropic models with variable spatial curvature Bianchi III,VI and II. With a perfect fluid, following Schutz's formalism, problem of non-unitarity evolution is investigated. Explicit solutions are found for Bianchi III and VI model with stiff fluid P = ƿ which clearly have conservation of probability. For other value of ɑ, with proper operator ordering or clever choice of coordinate at classical level can give us the self adjoint extension of Hamiltonian as they lead to inverse square potential thus unitary evolution. With large set of examples, it is concluded that non-unitarity cannot be a generic problem for anisotropic models.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Prf. Narayan Banerjee
    Uncontrolled Keywords: Bianchi Models; Bianchi II Models; Bianchi III Models; Bianchi VI Models; Non Unitarity; Quantum Cosmology
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 23 Jun 2016 12:40
    Last Modified: 23 Jun 2016 12:42
    URI: http://eprints.iiserkol.ac.in/id/eprint/348

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