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

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  • Kilbane, D.
  • Cummings, A.
  • O’Sullivan, G.
  • Heffernan, D.M.

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.

Suggested Citation

  • Kilbane, D. & Cummings, A. & O’Sullivan, G. & Heffernan, D.M., 2006. "The classical-quantum correspondence of a kicked particle in an infinite potential well," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 424-440.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:2:p:424-440
    DOI: 10.1016/j.chaos.2006.01.011
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    1. Kilbane, D. & Cummings, A. & O’Sullivan, G. & Heffernan, D.M., 2006. "Quantum statistics of a kicked particle in an infinite potential well," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 412-423.
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    1. Kilbane, D. & Cummings, A. & O’Sullivan, G. & Heffernan, D.M., 2006. "Quantum statistics of a kicked particle in an infinite potential well," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 412-423.

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