论文标题
在两极分化的旋转顶作为正确辐射反应扭矩的测试中自由旋转
On the free rotation of a polarized spinning-top as a test of the correct radiation reaction torque
论文作者
论文摘要
作用在电荷系统上的偶极辐射反应扭矩的公式，以及该系统通过该系统的角动量损失的Larmor样公式在时间衍生术语中有所不同，这是能量损失问题中Schott项的类似物。在众所周知的教科书中，这种差异通常是通过忽视肖特术语而避免的，并且优选类似Larmor的公式。在本文中，两个公式都用于得出两种极化旋转顶的运动方程式。两个方程式都可以集成在对称顶部，并导致完全不同的解决方案。与另一个公式相比，从拉莫般的公式中的一个跟随者在物理上是不可误的。该结果与最近在教学文献中讨论的Larmor公式的重新解释相一致。此外，Schott术语不仅具有学术意义，而且还可以确定两极分化的微小和纳米颗粒在自然界或将来的实验中的行为。
The formula for dipole radiation reaction torque acting on a system of charges, and the Larmor-like formula for the angular momentum loss by this system, differ in the time derivative term which is the analogue of the Schott term in the energy loss problem. In the well-known textbooks this discrepancy is commonly avoided via neglect of the Schott term, and the Larmor-like formula is preferred. In the present paper both formulae are used to derive two different equations of motion of a polarized spinning-top. Both equations are integrable for the symmetric top and lead to quite different solutions. That one following from the Larmor-like formula is physically unplausible, in contrast to another one. This result is accorded with the reinterpretation of Larmor's formula discussed recently in the pedagogical literature. It is appeared, besides, that the Schott term is of not only academic significance, but it may determine the behavior of polarized micro- and nanoparticles in nature or future experiments.
