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

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• 作者：Kotani ; Motoko
• 关键词：81Q10 ; Quantum mechanics ; Crystal lattice ; Magnetic transition operator ; Group C^*-algebra ; Weyl representation
• 刊名：Journal of Geometry and Physics
• 出版年：2003
• 出版时间：August, 2003
• 年：2003
• 卷：47
• 期：2-3
• 页码：323-342
• 全文大小：182 K

文摘

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.