与阿基米德铺砌相关的周期量子图的色散关系(II)
谱理论
2019-07-30 v3
摘要
我们延续先前论文\cite{LJL}的工作,推导与11种阿基米德铺砌中剩余5种相关的周期量子图的色散关系,即截角六边形铺砌、 rhombi-trihexagonal铺砌、snub square铺砌、snub trihexagonal铺砌以及截角三六边形铺砌。计算借助符号软件Mathematica完成。利用这些显式色散关系,我们对谱进行了更多分析。
引用
@article{arxiv.1903.07323,
title = {Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)},
author = {Yu-Chen Luo and Eduardo O. Jatulan and Chun-Kong Law},
journal= {arXiv preprint arXiv:1903.07323},
year = {2019}
}
备注
43 Pages, 9 figures, 1 table. arXiv admin note: text overlap with arXiv:1809.09581