对“类氢原子自旋轨道耦合的经典分析”的评论[Am. 78（4）428-432，2010年4月]
Comment on "On the classical analysis of spin-orbit coupling in hydrogenlike atoms," [Am. J. Phys. 78 (4) 428-432, April 2010]
摘要：
在他们最近的论文中，Kholmetskii，Missevitch和Yarman“重新分析了类氢原子中自旋轨道耦合的通常经典推导”，并发现了一个与类氢原子的Dirac-Coulomb方程的解定性一致的结果。然而，作者的结果是基于电子的平移运动方程，该方程忽略了由于在核的电场中存在电子固有磁偶极矩的“隐藏”动量而产生的任何贡献。为了得到磁偶极子与点电荷相互作用中的线动量守恒，必须考虑隐动量。如果从描述中省略隐藏的动量，则由于电子而作用在原子核上的力将不同于由于原子核而作用在电子上的力。因此，忽略隐动量的贡献，包括自旋轨道耦合的结合能不能得到一致的计算，而包括隐动量，得到的值与实验不符。
英文摘要：
In their recent paper, Kholmetskii, Missevitch, and Yarman "reanalyze the usual classical derivation of spin-orbit coupling in hydrogenlike atoms" and find a result "in qualitative agreement with the solution of the Dirac-Coulomb equation for hydrogenlike atoms." However, the authors' result is based on an equation of translational motion of the electron that omits any contribution due to the existence of "hidden" momentum of the electron intrinsic magnetic dipole moment in the electric field of the nucleus. Accounting for hidden momentum is necessary to obtaining conservation of linear momentum in the interaction of a magnetic dipole with a point charge. If hidden momentum is omitted from the description, the force on the nucleus due to the electron will differ from the force on the electron due to the nucleus. Thus, omitting the hidden momentum contribution, the binding energy including the spin-orbit coupling cannot be consistently calculated, while including hidden momentum, the value obtained is in disagreement with experiment.
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