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本文利用量子力学中角动量理论的代数方法,对希土金属的s-f相互作用模型作了比较仔细的讨论,导出了s-f电子间相互作用的哈密顿量的一般形式。用算符形式的微扰论方法,求得了通过s-f相互作用而导致的f电子间f-f间接作用的有效哈密顿量的一般表达式。在保留到二极小项的情况下,除各向同性的交换作用以外,还得到了赝偶极矩作用。在所得结果的基础上,初步讨论了希土金属铁磁相的磁晶各向异性。指出了以上的结果可能解释的一些实验事实。Using the algebraic method of the theory of angular momentum in quantum mechanics a detailed study is made for the model of s-f interaction of rare-earth metals. A general form of Hamiltonian of s-f interaction is derived. Utilizing the method of the theory of perturbation in operator form we have obtained the general expression for the effective Hamiltonian of f-f interaction through s-f interaction. Retaining terms to the second order of smallness, besides the isotropic exchange interaction the pseudo-dipole interaction is also obtained. On the basis of the results obtained, we have discussed preliminarily the magnetic crystalline anisotropy of the ferromagnetic phase of rare-earth metals. Some experimental facts which might be explained by the above results are indicated.
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