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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PDF (MS dissertation of Debojoti Kuzur (11MS051))
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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 09:44 |
| Last Modified: | 09 Aug 2016 09:44 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/387 |
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