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首页> 外文期刊>Electronic journal of theoretical physics >Novel and Unique Expression for the Radiation Reaction Force, Relevance of Newton’s Third Law and Tunneling
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Novel and Unique Expression for the Radiation Reaction Force, Relevance of Newton’s Third Law and Tunneling

机译：辐射反作用力，牛顿第三定律的相关性和隧穿的新颖独特表达

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We derive the radiation reaction by taking into account that the acceleration ofthe charge is caused by the interaction with some heavy source particle. In the non relativisticcase this leads, in contrast to the usual approach, immediately to a result which is Galileiinvariant. Simple examples show that there can be small regions of extremely low velocitywhere the energy requirements cannot be fulfilled, and which the charged particle can only crossby quantum mechanical tunneling. We also give the relativistic generalization which appearsunique. The force is a four-vector, but only if the presence of the source is taken into accountas well. It contains no third derivatives of the position as the Lorentz-Abraham-Dirac equation,and consequently no run away solutions. All examples considered so far give reasonable results.
机译：我们通过考虑电荷的加速是由与某些重质源粒子的相互作用引起的来得出辐射反应。在非相对论的情况下，与通常的方法相比，这立即导致了伽利略不变的结果。简单的示例表明，可能存在极低速度的小区域，在这些区域中无法满足能量要求，而带电粒子只能通过量子机械隧穿。我们还给出了相对论的概括，看起来很独特。力是四个向量，但也必须考虑到源的存在。它不包含洛伦兹-亚伯拉罕-狄拉克方程的位置的三阶导数，因此没有失控解。到目前为止考虑的所有示例均给出了合理的结果。

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