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Random-Matrix Theory

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Quantum Signatures of Chaos

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 54))

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Abstract

A wealth of empirical and numerical evidence suggests universality for local fluctuations in quantum energy or quasi-energy spectra of systems that display global chaos in their classical phase spaces. Exceptions apart, all such Hamiltonian matrices of sufficiently large dimension yield the same spectral fluctuations provided they have the same group of canonical transformations (see Chap. 2).

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Authors and Affiliations

  1. Universität Duisburg-Essen, FB 7 Physik, Universitätsstr. 5, 45117, Essen, Germany

    Prof. Dr. Fritz Haake

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  1. Prof. Dr. Fritz Haake
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Correspondence to Fritz Haake .

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Haake, F. (2010). Random-Matrix Theory. In: Quantum Signatures of Chaos. Springer Series in Synergetics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05428-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-05428-0_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05427-3

  • Online ISBN: 978-3-642-05428-0

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