Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice

✍ Scribed by Motoko Kotani

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 182 KB
• Volume: 47
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(02)00226-7

✦ Synopsis

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.