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Description
  • We prove the Bohigas-Giannoni-Schmit conjecture in its most general form for completely connected simple graphs with incommensurate bond lengths. We show that for graphs that are classically mixing (i.e., graphs for which the spectrum of the classical Perron-Frobenius operator possesses a finite gap), the generating functions for all (P, Q) correlation functions for both closed and open graphs coincide (in the limit of infinite graph size) with the corresponding expressions of random-matrix theory, both for orthogonal and for unitary symmetry.
  • We prove the Bohigas-Giannoni-Schmit conjecture in its most general form for completely connected simple graphs with incommensurate bond lengths. We show that for graphs that are classically mixing (i.e., graphs for which the spectrum of the classical Perron-Frobenius operator possesses a finite gap), the generating functions for all (P, Q) correlation functions for both closed and open graphs coincide (in the limit of infinite graph size) with the corresponding expressions of random-matrix theory, both for orthogonal and for unitary symmetry. (en)
Title
  • Spectral Fluctuations of Quantum Graphs
  • Spectral Fluctuations of Quantum Graphs (en)
skos:prefLabel
  • Spectral Fluctuations of Quantum Graphs
  • Spectral Fluctuations of Quantum Graphs (en)
skos:notation
  • RIV/00216208:11320/14:10287941!RIV15-MSM-11320___
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  • I, P(GA13-07117S)
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  • 46564
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  • RIV/00216208:11320/14:10287941
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  • chaotic scattering; quantum graphs (en)
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  • [9C13EDFE4427]
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  • East Lansing
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  • AIP Conference Proceedings
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  • Pluhař, Zdeněk
  • Weidenmueller, H. A.
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  • 000345962700015
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issn
  • 0094-243X
number of pages
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  • 10.1063/1.4899227
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  • AMER INST PHYSICS
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  • 978-0-7354-1256-9
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  • 11320
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