Kilbane, D. and Cummings, A. and 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:
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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