Rotation Numbers, Boundary Forces and Gap labelling
Kellendonk, J. ; Zois, I. P.
arXiv, 0506016 / Harvested from arXiv
Text on arXiv
We review the Johnson-Moser rotation number and the $K_0$-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 $K_1$-theoretical gap label. We argue that the latter provides a natural generalisation of the Johnson-Moser rotation number to higher dimensions.
Publié le : 2005-06-07
Classification:  Mathematical Physics 
@article{0506016,
     author = {Kellendonk, J. and Zois, I. P.},
     title = {Rotation Numbers, Boundary Forces and Gap labelling},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506016}
}

Kellendonk, J.; Zois, I. P. Rotation Numbers, Boundary Forces and Gap labelling. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506016/