부산대학교 도서관

We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we show that the S-matrix for all energies in any given open set in the continuous spectrum determines the potentials.
Comment: Many parts of this paper, especially the part dealing with the the forward problem, can be generalized to more general lattices, which can be seen in arXiv:1911.05233