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Universal spectral statistics in quantum graphs | | Sven Gnutzmann
; Alexander Altland
; | | Date: |
18 Feb 2004 | | Subject: | Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall | | Abstract: | We prove that the spectrum of an individual chaotic quantum graph shows universal spectral correlations, as predicted by random--matrix theory. The stability of these correlations with regard to non--universal corrections is analyzed in terms of the linear operator governing the classical dynamics on the graph. | | Source: | arXiv, nlin.CD/0402029 | | Services: | Forum | Review | PDF | Favorites | |
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