Relativistic rotation and classic electrodynamics validity limit

I. Lomidze, D. Karkashadze, J. Javakhishvili
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Abstract

As it is known the limit of applicability of classical electrodynamics (ED) is limited with so called electron's classical radius Rcl/spl sim/elmc/sup 2/. This estimation appears in the several totally different approaches to the problem with one common assumption, that electron has a finite size. It is necessary to specify that there is no consecutive and strict account of the relativistic rotational movement's contribution into the calculation of energy and angular momentum of the researched objects. Such omission is that the contribution in cross section of EM waves scattering on the magnetic moment of electron can be neglected, while it is not correct for relativistic velocities. In this paper it is shown that the removal of such omission (in the context of strict relativistic description) leads to the possibility of obtaining the correct limit of applicability of classic Rcl/spl sim/h/mc.
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相对论旋转与经典电动力学有效性极限
众所周知,经典电动力学(ED)的适用范围受到所谓电子的经典半径Rcl/spl sim/elmc/sup 2/的限制。这个估计出现在几个完全不同的问题的方法中,它们都有一个共同的假设,即电子的大小是有限的。需要说明的是,在计算所研究对象的能量和角动量时,没有对相对论性旋转运动的贡献作连续和严格的说明。这种省略是电磁波散射对电子磁矩在横截面上的贡献可以忽略,而对于相对论速度则是不正确的。本文表明,去掉这种遗漏(在严格相对论性描述的背景下),就有可能得到经典的Rcl/spl / sim/h/mc的正确适用极限。
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