54 citations · 194 across the 5 of their papers we have counts for
3 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…
cond-mat.mes-hall2007★ 42 cited
Full counting statistics of chaotic cavities from classical action correlations
G. Berkolaiko, J. M. Harrison, M. Novaes
We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our meth…
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…