Modified wave operators for discrete Schr\"odinger operators with long-range perturbations
Mathematical Physics
2014-03-13 v1 Analysis of PDEs
math.MP
Abstract
We consider the scattering theory for discrete Schr\"odinger operators on with long-range potentials. We prove the existence of modified wave operators constructed in terms of solutions of a Hamilton-Jacobi equation on the torus .
Cite
@article{arxiv.1403.2795,
title = {Modified wave operators for discrete Schr\"odinger operators with long-range perturbations},
author = {Shu Nakamura},
journal= {arXiv preprint arXiv:1403.2795},
year = {2014}
}