Li-Zn系铁氧体铁磁共振研究

Particles in a potential well with fractal boundary

在纯锂铁氧体（Ｌｉ０．５Ｆｅ２．５Ｏ４）基础上，用Ｚｎ２＋离子代换其中Ｌｉ＋０．５Ｆｅ３＋０．５离子，研究了（Ｌｉ０．５Ｆｅ０．５）１－ｘＺｎｘＦｅ２Ｏ４（其中ｘ＝０．０，０．２０，０．３０，０．４０，０．５０）系铁氧体室温铁磁共振效应．结果表明，用Ｚｎ２＋离子代换Ｌｉ＋０．５Ｆｅ３＋０．５离子能有效降低内场和铁磁共振线宽，当频率高于６ＧＨｚ时，铁磁共振线宽与频率成线性关系．

An infinite deep potential well with fractal boundary is built up. The energy levels and wave functions of this system corresponding to each grade of boundaries are analytically obtained. The results suggest that the energy levels show a scaling invariance associated with the transformation of spatial scales, i.e., it has a self similar structure. The probability density expresses a localization behavior when the grade of the fractal boundary increases.