RELATIONSHIP BETWEEN SCATTERING MATRIX AND SPECTRUM OF QUANTUM GRAPHS Academic Article

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.

authors

• Berkolaiko, Gregory

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

• July 2010

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Transactions of the American Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1090/S0002-9947-2010-04897-4

start page

• 6261

end page

• 6277

volume

• 362

issue

• 12