The localization of electrons in the field of isolated nonmagnetic impurity atoms on the surface of a nanotube in a magnetic field is considered. A model of a short-range Gaussian separable impurity potential capable of localizing an electron at any intensity is proposed. Within this model the positions of the local level are found. The positions of the resonances are found, their widths are estimated. They experience Aharonov-Bohm oscillations when the magnetic flux in the tube changes. Also it is shown that the positions of the resonances experience oscillations, which are not associated with a magnetic field.

中文翻译：

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磁场中纳米管表面电子的杂质态

考虑了电子在磁场中纳米管表面上孤立的非磁性杂质原子场中的定位。提出了一种能够在任何强度下定位电子的短程高斯可分离杂质势模型。在这个模型中找到了地方级别的位置。找到共振的位置，估计它们的宽度。当管中的磁通量发生变化时，它们会经历 Aharonov-Bohm振荡。还表明共振的位置经历了与磁场无关的振荡。