类Harper算子和磁Schroedinger算子谱带的Lipschitz连续性
On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schroedinger operators
摘要:
我们证明了一个大类的离散类哈珀和连续磁薛定谔算子,他们的带边是Lipschitz连续的外部恒定磁场的强度。本文推广了J.Bellissard在1994年得到的一个结果,并给出了支持G.嫩丘
英文摘要:
We show for a large class of discrete Harper-like and continuous magnetic Schrodinger operators that their band edges are Lipschitz continuous with respect to the intensity of the external constant magnetic field. We generalize a result obtained by J. Bellissard in 1994, and give examples in favor of a recent conjecture of G. Nenciu.
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