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Comment on 'On the classical analysis of spin-orbit coupling in hydrogenlike atoms,' [Am. J. Phys. 78 (4) 428-432, April 2010]

机译：评“关于自旋轨道耦合的经典分析” 氢原子，“[am.J. phys.78（4）428-432，2010年4月]

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In their recent paper, Kholmetskii, Missevitch, and Yarman "reanalyze theusual classical derivation of spin-orbit coupling in hydrogenlike atoms" andfind a result "in qualitative agreement with the solution of the Dirac-Coulombequation for hydrogenlike atoms." However, the authors' result is based on anequation of translational motion of the electron that omits any contributiondue to the existence of "hidden" momentum of the electron intrinsic magneticdipole moment in the electric field of the nucleus. Accounting for hiddenmomentum is necessary to obtaining conservation of linear momentum in theinteraction of a magnetic dipole with a point charge. If hidden momentum isomitted from the description, the force on the nucleus due to the electron willdiffer from the force on the electron due to the nucleus. Thus, omitting thehidden momentum contribution, the binding energy including the spin-orbitcoupling cannot be consistently calculated, while including hidden momentum,the value obtained is in disagreement with experiment.

机译：Kholmetskii，Missevitch和Yarman在最近的论文中“重新分析了类氢原子中自旋轨道耦合的经典经典推导”，并得出了“与类氢原子的狄拉克库仑方程的解在质量上一致的结果”。然而，作者的结果是基于电子的平移运动的等式，该等式忽略了由于原子核电场中电子固有磁偶极矩的“隐藏”动量的存在而做出的任何贡献。隐性动量的计算对于在具有点电荷的磁偶极子相互作用中获得线性动量守恒是必要的。如果从描述中消除了隐藏的动量，则由于电子引起的作用在核上的力将不同于由于核发生的作用在电子上的力。因此，忽略了隐藏的动量贡献，就不能一致地计算包括自旋-轨道耦合在内的结合能，而包括隐藏的动量，所获得的值与实验不一致。

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Lush, David C.;
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1. Comment on "On the classical analysis of spin-orbit coupling in hydrogenlike atoms," by A. L. Kholmetskii, O. V. Missevitch, and T. Yarman [Am. J. Phys. 78 (4), 428-432 (2010)] [J] . Lush D.C. American journal of physics . 2010,第12期

机译：评论A. L. Kholmetskii，O。V. Missevitch和T. Yarman撰写的“关于类氢原子中自旋轨道耦合的经典分析”。 J.物理78（4），428-432（2010）]
2. Reply to "Comment on 'On the classical analysis of spin-orbit coupling in hydrogenlike atoms,' " by D. C. Lush [Am. J. Phys. 78 (12), 1422 (2010)] [J] . Kholmetskii A.L., Missevitch O.V., Yarman T. American journal of physics . 2010,第12期

机译：回复D. C. Lush [Am。着，关于“关于类氢原子自旋轨道耦合的经典分析的评论”。 J.物理78（12），1422（2010）]
3. Comment on “On the classical analysis of spin-orbit coupling in hydrogenlike atoms,” by A. L. Kholmetskii, O. V. Missevitch, and T. Yarman [Am. J. Phys. 78 (4), 428–432 (2010)] [J] . David C. Lush American Journal of Physics . 2010,第12期

机译：评A. L. Kholmetskii，O。V. Missevitch和T. Yarman的“关于类氢原子中自旋轨道耦合的经典分析”。 J.物理78（4），428-432（2010）]
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Comment on 'On the classical analysis of spin-orbit coupling in hydrogenlike atoms,' [Am. J. Phys. 78 (4) 428-432, April 2010]

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