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Quantum statistics of a kicked particle in an infinite potential well

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

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:2:p:412-423
    DOI: 10.1016/j.chaos.2006.01.010
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    1. 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.
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    1. 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.

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