扰动磁哈密顿量谱间Hausdorff距离的正则性
On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians
摘要：
研究了连续Harper-like算子谱间Hausdorff距离的正则性。作为一种特殊情况，我们得到了一类具有长程磁场的磁椭圆（伪）微分算子的Hausdorff距离关于磁场强度的Hölder连续性.
英文摘要：
We study the regularity properties of the Hausdorff distance between spectra of continuous Harper-like operators. As a special case we obtain Hölder continuity of this Hausdorff distance with respect to the intensity of the magnetic field for a large class of magnetic elliptic (pseudo)differential operators with long range magnetic fields.
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