Lorentz-Dirac方程的解
On the Solutions of the Lorentz-Dirac Equation
摘要:
我们讨论了Lorentz-Dirac方程解的不稳定性,并强调需要降阶等方法来导出物理上可接受的运动方程。并以具有辐射反应的非相对论谐振子为例进行了讨论。我们还说明了去除的非偶然的预加速度的洛伦兹-狄拉克方程中引入一个小的修正。
英文摘要:
We discuss the unstable character of the solutions of the Lorentz-Dirac equation and stress the need of methods like order reduction to derive a physically acceptable equation of motion. The discussion is illustrated with the paradigmatic example of the non-relativistic harmonic oscillator with radiation reaction. We also illustrate removal of the noncasual pre-acceleration with the introduction of a small correction in the Lorentz-Dirac equation.
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