Random Schr\"odinger Operators on discrete structures
Mathematical Physics
2018-07-31 v2 math.MP
Spectral Theory
Abstract
The Anderson model serves to study the absence of wave propagation in a medium in the presence of impurities, and is one of the most studied examples in the theory of quantum disordered systems. In these notes we give a review of the spectral and dynamical properties of the Anderson Model on discrete structures, like the -dimensional square lattice and the Bethe lattice, and the methods used to prove localization. These notes are based on a course given at the CIMPA School "Spectral Theory of Graphs and Manifolds" in Kairouan, 2016.
Keywords
Cite
@article{arxiv.1710.02293,
title = {Random Schr\"odinger Operators on discrete structures},
author = {Constanza Rojas-Molina},
journal= {arXiv preprint arXiv:1710.02293},
year = {2018}
}
Comments
41 pages, diagrams and figures, lecture notes, typos corrected in v2