Kilbane, D. and Cummings, A. and O'Sullivan, G. and Heffernan, Daniel (2006) The classical-quantum correspondence of a kicked particle in an infinite potential well. Chaos, Solitons and Fractals, 30 (2). pp. 424-440.

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Abstract

The classical-quantum correspondence of a periodically kicked particle in a 1-D infinite potential well is investigated. Stroboscopic state space portraits are presented for various kick strengths and a classical diffusion study reveals anomalous behaviour and the presence of both regular islands of stability and accelerator modes. Quantum diffusion is subsequently studied and the quantum diffusion coefficient is found to mimic the classical diffusion coefficient by rescaling k. Wigner and Husimi distribution functions are derived and comparisons are made between the classical stroboscopic state space portraits and these quantum quasi-probability distribution functions.

Item Type:	Article
Keywords:	classical-quantum; kicked particle; infinite potential well;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	9700
Depositing User:	Prof. Daniel Heffernan
Date Deposited:	20 Jul 2018 08:10
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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