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Relationship between scattering matrix and spectrum of quantum graphs
journal contributionposted on 2014-08-06, 11:25 authored by G. Berkolaiko, Brian WinnBrian Winn
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.
This work was supported by the National Sciences Foundation under research grant DMS-0604859.
- Mathematical Sciences
Published inTransactions of the American Mathematical Society
Pages6261 - 6277
CitationBERKOLAIKO, 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.
Publisher© American Mathematical Society
- AM (Accepted Manuscript)
NotesFirst published in Transactions of the American Mathematical Society, 2010, 362(12). Published by the American Mathematical Society.