Schr\"odinger operators generated by substitutions
凝聚态物理
2007-05-23 v1
摘要
Schr\"odinger operators with potentials generated by primitive substitutions are simple models for one dimensional quasi-crystals. We review recent results on their spectral properties. These include in particular an algorithmically verifiable sufficient condition for their spectrum to be singular continuous and supported on a Cantor set of zero Lebesgue measure. Applications to specific examples are discussed.
引用
@article{arxiv.cond-mat/9510061,
title = {Schr\"odinger operators generated by substitutions},
author = {Anton Bovier and J. -M. Ghez},
journal= {arXiv preprint arXiv:cond-mat/9510061},
year = {2007}
}