Inverse scattering theory for discrete Schr\"odinger operators on the hexagonal lattice
Spectral Theory
2011-10-19 v1
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.
Keywords
Cite
@article{arxiv.1110.3922,
title = {Inverse scattering theory for discrete Schr\"odinger operators on the hexagonal lattice},
author = {Kazunori Ando},
journal= {arXiv preprint arXiv:1110.3922},
year = {2011}
}
Comments
60 pages, 6 figures