@article{b1bc9aa77f5b4dc4b9df474e14ad6917,
title = "Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice",
abstract = "A magnetic transition operator on a crystal lattice is defined as a generalization of the Harper operator. Following the idea of J. Bellissard, we prove Lipschitz continuity of the band edges of its spectrum as magnetic field changes.",
keywords = "Crystal lattice, Group C-algebra, Magnetic transition operator, Weyl representation",
author = "Motoko Kotani",
note = "Funding Information: The author would like to express her gratitude to Sunada for useful discussions. She appreciates Bellissard sending their unpublished article [4] , from which she learns much. This work was done during the author{\textquoteright}s stay in I.H.E.S., France. She gratefully acknowledge financial support by the C.N.R.S. and hospitality of the institute.",
year = "2003",
month = aug,
doi = "10.1016/S0393-0440(02)00226-7",
language = "English",
volume = "47",
pages = "323--342",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",
number = "2-3",
}