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Relationship 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...

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Bibliographic Details
Main Authors:	G. Berkolaiko, Brian Winn
Format:	Default Article
Published:	2010
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/15453
Tags:	Add Tag No Tags, Be the first to tag this record!

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