电磁辐射反作用的二阶运动方程
Second order equation of motion for electromagnetic radiation back-reaction
摘要：
我们认为，辐射反作用的Lorentz-Dirac方程的物理可接受解实际上是由一个二阶运动方程决定的，其中自作用力是时空位置和速度的函数。我们提出了三种不同的方法来获得这种自作用力函数。对于两个例子系统，我们确定的二阶运动方程正是在非相对论性制度通过这三种方法，这三种方法导致相同的结果。我们发现，对于这两个系统考虑，反作用引起的阻尼成比例的速度，此外，它减少了外力的影响。
英文摘要：
We take the viewpoint that the physically acceptable solutions of the Lorentz--Dirac equation for radiation back-reaction are actually determined by a second order equation of motion, the self-force being given as a function of spacetime location and velocity. We propose three different methods to obtain this self-force function. For two example systems, we determine the second order equation of motion exactly in the nonrelativistic regime via each of these three methods, the three methods leading to the same result. We reveal that, for both systems considered, back-reaction induces a damping proportional to velocity and, in addition, it decreases the effect of the external force.
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