RELATIONSHIP BETWEEN SCATTERING MATRIX AND SPECTRUM OF QUANTUM GRAPHS Academic Article uri icon

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. 2010 American Mathematical Society.

published proceedings

  • TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Berkolaiko, G., & Winn, B.

citation count

  • 18

complete list of authors

  • Berkolaiko, G||Winn, B

publication date

  • December 2010