MURAL - Maynooth University Research Archive Library



    The classical-quantum correspondence of a kicked particle in an infinite potential well.


    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.

    [img]
    Preview
    Download (1MB) | Preview
    Official URL: https://www.sciencedirect.com/


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year