Nitin, Niku (2021) Random Matrix Theory. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Text (MS Dissertation of Niku Nitin (16MS077))
16MS077_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (1MB) |
Official URL: https://www.iiserkol.ac.in
Abstract
In this MS project report I have studied the statistics of eigenvalues of Random Matrices and statistics of eigenfunctions of Random Banded Matrices. I have numerically veri�ed the Wigner's Semicircle Law, Wigner Surmise for NNS and also Wigner Surmise for RNNS. I have also reproduced the crossover curve for random matrices of different sizes and have described transition from localised to delocalised regime and from non - ergodic to ergodic systems.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Professor Anandamohan Ghosh |
| Uncontrolled Keywords: | Random Matrix Theory, Wigner Semicircle Law, Wigner Surmise, Band Matrices, RNNS, Localised and delocalised states, Non ergodic and ergodic systems. |
| Subjects: | Q Science > QC Physics |
| Divisions: | Department of Physical Sciences |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 06 Oct 2025 04:59 |
| Last Modified: | 06 Oct 2025 04:59 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/1808 |
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