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Download fileRelationship between scattering matrix and spectrum of quantum graphs
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.
Funding
This work was supported by the National Sciences Foundation under research grant DMS-0604859.
History
School
- Science
Department
- Mathematical Sciences
Published in
Transactions of the American Mathematical SocietyVolume
362Issue
12Pages
6261 - 6277Citation
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.Publisher
© American Mathematical SocietyVersion
- AM (Accepted Manuscript)
Publication date
2010Notes
First published in Transactions of the American Mathematical Society, 2010, 362(12). Published by the American Mathematical Society.ISSN
0002-9947Publisher version
Language
- en