Citation
Chan, Kar Tim and Zainuddin, Hishamuddin and Molladavoudi, Saeid
(2013)
Computation of quantum bound states on a singly punctured two-torus.
Chinese Physics Letters, 30 (1).
pp. 1-4.
ISSN 0256-307X
Abstract
We study a quantum mechanical system on a singly punctured two-torus with bound states described by the Maass waveforms which are eigenfunctions of the hyperbolic Laplace—Beltrami operator. Since the discrete eigenvalues of the Maass cusp form are not known analytically, they are solved numerically using an adapted algorithm of Hejhal and Then to compute Maass cusp forms on the punctured two-torus. We report on the computational results of the lower lying eigenvalues for the punctured two-torus and find that they are doubly-degenerate. We also visualize the eigenstates of selected eigenvalues using GridMathematica.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1088/0256-307X/30/1/010304 |
| Publisher: | Institute of Physics |
| Keywords: | Algebraic methods; Quantum mechanical system; Singly punctured two-torus. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 25 Jun 2014 03:51 |
| Last Modified: | 11 Sep 2015 01:40 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/0256-307X/30/1/010304 |
| URI: | http://psasir.upm.edu.my/id/eprint/30081 |
| Statistic Details: | View Download Statistic |
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