磁哈密顿量的谱边正则性
Spectral edge regularity of magnetic Hamiltonians
摘要：
我们分析了谱边正则性的一大类磁哈密顿时产生的扰动是由一个全球有界的磁场。我们可以证明谱边的Lipschitz正则性，无论磁场扰动是常数还是缓变。我们还恢复了G. Nenciu谁证明Lipschitz正则性的对数因子一般全球有界磁场扰动。
英文摘要：
We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz regularity of spectral edges if the magnetic field perturbation is either constant or slowly variable. We also recover an older result by G. Nenciu who proved Lipschitz regularity up to a logarithmic factor for general globally bounded magnetic field perturbations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
