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Wigner or non-wigner: That is the question

  • Part II: Seminars
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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

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Abstract

It is shown that, contrary to a common belief, statistical spectral properties of systems that exhibit classically chaotic behaviour may not obey the statistics typical for Random Matrix Theory. In particular, the nearest neighbor statistics for hydrogen atom in a strong static magnetic field does not obey the usual Wigner distribution. A simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix reproduces correctly the observed distributions both in the bound regime and for resonances above the ionization threshold.

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References

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Author information

Authors and Affiliations

  1. Laboratoire Kastler-Brosse, Universite Pierre et Marie Curie, 75005, Paris, France

    J. Zakrzewski, K. Dupret & D. Delande

  2. Instytut Fizyki, Uniwersytet Jagielloński, PL-30-059, Kraków, Poland

    J. Zakrzewski

Authors
  1. J. Zakrzewski
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  2. K. Dupret
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  3. D. Delande
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Editor information

Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Zakrzewski, J., Dupret, K., Delande, D. (1995). Wigner or non-wigner: That is the question. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_83

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  • DOI: https://doi.org/10.1007/3-540-60188-0_83

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

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