Transition amplitudes between charged particles of mass M and m accelerated by a constant electric field and interacting by the exchange of quanta of a third field satisfy remarkable identities. When the exchanged particle is neutral, they imply that the equilibrium ratio of the population is simply exp (-#pi#(M~2-m~2)/eE)approx= exp (-2#pi#(M-m)/a), in agreement with Unruh's result. When the exchanged particle is charged, the equilibrium state is more complex, but in the small charge limit, we obtain once again a boltzmannian distribution, characterized not only by a temperature, but also by the electric potential felt by the exchanged particle. These analogies with charged black holes thermodynamics can be explicitized by considering changes of the acceleration horizon.
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机译：质量M和m的带电粒子之间的跃迁幅度通过恒定电场加速并通过第三场的量子交换而相互作用，这满足了显着的恒等式。当交换的粒子为中性时，它们暗示总体的平衡比为exp（-＃pi＃（M〜2-m〜2）/ eE）approx = exp（-2＃pi＃（Mm）/ a ），与Unruh的结果一致。当交换的粒子带电时，平衡状态更加复杂，但是在较小的电荷极限下，我们再次获得了博兹曼分布，不仅具有温度特征，而且还具有被交换的粒子感受到的电势。这些带电黑洞热力学的类比可以通过考虑加速度范围的变化来明确。
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