Relationship between scattering matrix and spectrum of quantum graphs

Gregory Berkolaiko, Brian Winn

Type: Article

Publication Date: 2010-08-13

Citations: 15

DOI: https://doi.org/10.1090/s0002-9947-2010-04897-4

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.

Locations

arXiv (Cornell University) - View - PDF
Loughborough University Institutional Repository (Loughborough University) - View - PDF
Loughborough University Research Repository (Loughborough University) - View - PDF
DataCite API - View
Transactions of the American Mathematical Society - View - PDF

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