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Ballistic Sigma Model for Individual Unitary Maps and Graphs

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Quantum Signatures of Chaos

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

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Abstract

First hints at the usefulness of the sigma model for studying spectral statistics of individual dynamics appeared in 2005. The semiclassical construction of the non-oscillatory part of the two-point correlator of the quantum level density for classically chaotic systems

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Haake, F., Gnutzmann, S., Kuś, M. (2018). Ballistic Sigma Model for Individual Unitary Maps and Graphs. In: Quantum Signatures of Chaos. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-97580-1_7

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