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Kilbane, D., Cummings, A., O'Sullivan, G. and Heffernan, Daniel (2006) Quantum statistics of a kicked particle in an infinite potential well. Chaos, Solitons and Fractals, 30 (2). pp. 412-423.
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Abstract
It is known that no one statistical test by itself can give conclusive evidence for the presence or absence of quantum
chaos within a given system. For this reason a range of detailed tests, namely the nearest neighbour spacing distribution,
covariance of adjacent spacings, spectral rigidity, correlation-hole method and inverse participation ratio have
been applied to the quasienergies and quasieigenstates of a periodically kicked particle in a 1-D infinite potential well.
The results are compared with the predictions of random matrix theory for various kick strengths in order to search for
signatures of quantum chaos within this system.
| Item Type: | Article |
|---|---|
| Keywords: | quantum statistics; kicked particle; infinite potential well; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 9699 |
| Depositing User: | Prof. Daniel Heffernan |
| Date Deposited: | 20 Jul 2018 08:01 |
| Journal or Publication Title: | Chaos, Solitons and Fractals |
| Publisher: | Elsevier |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/9699 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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