Spectral and scattering theory for Gauss-Bonnet operators on perturbed topological crystals
arXiv:1609.02260 · doi:10.1016/j.jmaa.2017.03.002
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.
24 pages
References in corpus (2)
Cited by in corpus (6)
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