Rotation Numbers, Boundary Forces and Gap labelling
数学物理
2009-11-11 v1 math.MP
摘要
We review the Johnson-Moser rotation number and the -theoretical gap labelling of Bellissard for one-dimensional Schr\"odinger operators. We compare them with two further gap-labels, one being related to the motion of Dirichlet eigenvalues, the other being a -theoretical gap label. We argue that the latter provides a natural generalisation of the Johnson-Moser rotation number to higher dimensions.
引用
@article{arxiv.math-ph/0506016,
title = {Rotation Numbers, Boundary Forces and Gap labelling},
author = {J. Kellendonk and I. P. Zois},
journal= {arXiv preprint arXiv:math-ph/0506016},
year = {2009}
}
备注
10 pages, version accepted for publication