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Aspects of Quantum Particle in 2+1 Dimensional Gravity

Kuzur, Debojoti (2016) Aspects of Quantum Particle in 2+1 Dimensional Gravity. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    In this thesis we have studied the quantum dynamics of a point particle within the framework of Einstein’s General Theory of Relativity in 2+1 dimensions. It is known that the point particle in 2+1 dimensions causes a deficit angle proportional to its mass. This deficit angle is carried along as the particle moves with a given momentum. It is known that such type of momentum behaves as an angle, which is a compact variable. Further we have studied the energy eigenvalue problem of the given system using standard Schroedinger Quantum Mechanics and also Polymer Quantization, a quantization method in Loop Quantum Gravity. Finally we discuss the possible implication of the polymer quantization of the given system.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Golam Mortuza Hossain
    Uncontrolled Keywords: 2+1 Dimensions; Two Plus One Dimensions; Canonical Quantization; Einstein’s Field Equation; Polymer Quantization; Quantum Particle; Tensor Analysis
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 09 Aug 2016 15:14
    Last Modified: 09 Aug 2016 15:14
    URI: http://eprints.iiserkol.ac.in/id/eprint/387

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