Inverse scattering on the quantum graph -- Edge model for graphen

Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev, Hisashi Morioka

Published 2019-11-13Version 1

We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S-matrix for all energies in any open set in the continuous spectrum determines the potentials.