Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice (1110.3922v1)

Abstract: We consider the spectral theory for discrete Schr\"odinger operators on the hexagonal lattice and their inverse scattering problem. We give a procedure for reconstructing the compactly supported potential from the scattering matrix for all energies. The same procedure is applicable for the inverse scattering problem on the triangle lattice.