Winn_Relationship between.pdf (211.73 kB)
Download file

Relationship between scattering matrix and spectrum of quantum graphs

Download (211.73 kB)
journal contribution
posted 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.

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 Society

Volume

362

Issue

12

Pages

6261 - 6277

Citation

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 Society

Version

AM (Accepted Manuscript)

Publication date

2010

Notes

First published in Transactions of the American Mathematical Society, 2010, 362(12). Published by the American Mathematical Society.

ISSN

0002-9947

Language

en

Usage metrics

Keywords

Exports