Relationship between scattering matrix and spectrum of quantum graphs
journal contributionposted on 06.08.2014, 11:25 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