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Title: Relationship between scattering matrix and spectrum of quantum graphs
Authors: Berkolaiko, G.
Winn, Brian
Issue Date: 2010
Publisher: © American Mathematical Society
Citation: BERKOLAIKO, G. and WINN, B., 2010. Relationship between scattering matrix and spectrum of quantum graphs. Transactions of the American Mathematical Society, 362(12), pp.6261-6277.
Abstract: We investigate the equivalence between spectral characteristics of the Laplace operator on a metric graph and the associated unitary scattering operator. We prove that the statistics of level spacings and moments of observations in the eigenbases coincide in the limit that all bond lengths approach a positive constant value. © 2010 American Mathematical Society.
Description: First published in Transactions of the American Mathematical Society, 2010, 362(12). Published by the American Mathematical Society.
Sponsor: This work was supported by the National Sciences Foundation under research grant DMS-0604859.
Version: Accepted for publication
DOI: 10.1090/S0002-9947-2010-04897-4
URI: https://dspace.lboro.ac.uk/2134/15453
Publisher Link: http://dx.doi.org/10.1090/S0002-9947-2010-04897-4
ISSN: 0002-9947
Appears in Collections:Published Articles (Maths)

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