An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
Spectral Theory
2010-05-04 v4 Mathematical Physics
math.MP
Abstract
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups as completely as possible and review some recent results on Schroedinger operators obtained in this context.
Keywords
Cite
@article{arxiv.1001.1748,
title = {An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups},
author = {Zheng Gan},
journal= {arXiv preprint arXiv:1001.1748},
year = {2010}
}