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.
Original language | English |
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Pages (from-to) | 323-342 |
Number of pages | 20 |
Journal | Journal of Geometry and Physics |
Volume | 47 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 2003 Aug |
Keywords
- Crystal lattice
- Group C-algebra
- Magnetic transition operator
- Weyl representation
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology