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

D. Kilbane, A. Cummings, G. O'Sullivan, D. M. Heffernan

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)424-440
Number of pages17
JournalChaos, Solitons and Fractals
Volume30
Issue number2
DOIs
Publication statusPublished - Oct 2006
Externally publishedYes

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