On the Schott Term in the Lorentz-Abraham-Dirac Equation

Tatsufumi Nakamura

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On the Schott Term in the Lorentz-Abraham-Dirac Equation

机译：在Lorentz-Abraham-Diac方程中的肖特术语

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The equation of motion for a radiating charged particle is known as the Lorentz–Abraham–Dirac (LAD) equation. The radiation reaction force in the LAD equation contains a third time-derivative term, called the Schott term, which leads to a runaway solution and a pre-acceleration solution. Since the Schott energy is the field energy confined to an area close to the particle and reversibly exchanged between particle and fields, the question of how it affects particle motion is of interest. In here we have obtained solutions for the LAD equation with and without the Schott term, and have compared them quantitatively. We have shown that the relative difference between the two solutions is quite small in the classical radiation reaction dominated regime.

机译：辐射带电颗粒的运动方程称为Lorentz-亚伯拉姆 - DIRAC（LAD）方程。 LAD方程中的辐射反作用力含有称为肖特术语的第三时间衍生术语，其导致失控溶液和预加速度溶液。由于肖特能量是局限于靠近粒子的区域，并且在粒子和场之间可逆地交换的区域能量，因此它如何影响粒子运动的问题是感兴趣的。在这里，我们已经获得了具有和没有肖特术语的LAD方程的解决方案，并且已经定量地比较了它们。我们已经表明，在经典的辐射反应主导地区，两种解决方案之间的相对差异非常小。

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《Quantum Beam Science》 |2020年第4期|共8页
作者
Tatsufumi Nakamura;
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中图分类物理学;
关键词
radiation reactionLoretnz–Abraham–Dirac equationschott term;

机译：辐射resertletnz-erbaham-dirac方程舍智术;

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On the Schott Term in the Lorentz-Abraham-Dirac Equation

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