Spectral and scattering theory for Gauss-Bonnet operators on perturbed topological crystals
Spectral Theory
2019-01-14 v1 Mathematical Physics
math.MP
Abstract
In this paper we investigate the spectral and the scattering theory of Gauss--Bonnet operators acting on perturbed periodic combinatorial graphs. Two types of perturbation are considered: either a multiplication operator by a short-range or a long-range potential, or a short-range type modification of the graph. For short-range perturbations, existence and completeness of local wave operators are proved. In addition, similar results are provided for the Laplacian acting on edges.
Keywords
Cite
@article{arxiv.1609.02260,
title = {Spectral and scattering theory for Gauss-Bonnet operators on perturbed topological crystals},
author = {Daniel Parra},
journal= {arXiv preprint arXiv:1609.02260},
year = {2019}
}
Comments
24 pages