Yaroglu, Mert (2025) Coherent States and Unitary Irreducible Representations of SU(1,1). Bachelor's Thesis, Mathematics.
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Abstract
In this report, the transformation of coherent states under the group SU(1,1) is investigated. The algebraic, geometric, and topological properties of SU(1,1) are analyzed. These properties are used to construct the unitary irreducible representations of the group. For the discrete representations, the generalized coherent states are defined and examined. Finally, two methods are suggested to answer the question of the transformation of canonical coherent states of the quantum harmonic oscillator in 1+1 dimensions.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Boer, D. and Waalkens, H. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 17 Jul 2025 12:36 |
| Last Modified: | 17 Jul 2025 12:36 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/36364 |
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