54 citations · 82 across the 2 of their papers we have counts for
2 papers
math-ph2007★ 28 cited
Quantum graphs where back-scattering is prohibited
J. M. Harrison, U. Smilansky, B. Winn
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrice…
math-ph2007★ 54 cited
On occurrence of spectral edges for periodic operators inside the Brillouin zone
J. M. Harrison, P. Kuchment, A. Sobolev +1
The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schroedinger, Maxwell, waveguide oper…