Long-range scattering theory for discrete Schr\"odinger operators on graphene
Mathematical Physics
2019-06-26 v3 math.MP
Spectral Theory
Abstract
We consider a long-range scattering theory for discrete Schr\"odinger operators on the hexagonal lattice, which describe tight-binding Hamiltonians on the graphene sheet. We construct Isozaki-Kitada modifiers for a pair of the difference Laplacian on the hexagonal lattice and perturbed operators with long-range potentials. We prove that these modified wave operators exist and that they are asymptotically complete.
Keywords
Cite
@article{arxiv.1811.11527,
title = {Long-range scattering theory for discrete Schr\"odinger operators on graphene},
author = {Yukihide Tadano},
journal= {arXiv preprint arXiv:1811.11527},
year = {2019}
}
Comments
14 pages, no figures