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Random matrices of circular symplectic ensemble

  • Part II: Seminars
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Book cover 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

Random unitary matrices of symplectic ensemble describe statistical properties of time-dependent, periodical quantum systems with a halfinteger spin. We present a method of constructing random matrices typical to circular symplectic ensemble and show that the numerically generated unitary symplectic matrices display statistical properties of spectrum and eigenvectors according to the predictions of the random matrix theory.

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Authors and Affiliations

  1. Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloiński, PL-30-059, Kraków, Poland

    Karol Zyczkowski

Authors
  1. Karol Zyczkowski
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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Zyczkowski, K. (1995). Random matrices of circular symplectic ensemble. 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_84

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  • DOI: https://doi.org/10.1007/3-540-60188-0_84

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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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