Localization on a quantum graph with a random potential on the edges
Mathematical Physics
2019-12-10 v1 Mesoscale and Nanoscale Physics
math.MP
Spectral Theory
Quantum Physics
Abstract
We prove spectral and dynamical localization on a cubic-lattice quantum graph with a random potential. We use multiscale analysis and show how to obtain the necessary estimates in analogy to the well-studied case of random Schroedinger operators.
Cite
@article{arxiv.math-ph/0612087,
title = {Localization on a quantum graph with a random potential on the edges},
author = {Pavel Exner and Mario Helm and Peter Stollmann},
journal= {arXiv preprint arXiv:math-ph/0612087},
year = {2019}
}
Comments
LaTeX2e, 18 pages