Schroedinger difference equation with deterministic ergodic potentials
Mathematical Physics
2012-03-19 v1 Statistical Mechanics
math.MP
Abstract
We review the recent developments in the theory of the one-dimensional tight-binding Schr\"odinger equation for a class of deterministic ergodic potentials. In the typical examples the potentials are generated by substitutional sequences, like the Fibonacci or the Thue-Morse sequence. We concentrate on rigorous results which will be explained rather than proved. The necessary mathematical background is provided in the text.
Cite
@article{arxiv.1203.3646,
title = {Schroedinger difference equation with deterministic ergodic potentials},
author = {Andras Suto},
journal= {arXiv preprint arXiv:1203.3646},
year = {2012}
}
Comments
51 pages