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Consider a collision between two electrons. Since each particle is accelerated during the collision, I assume each radiates energy according to the Larmor formula.

Question 1: How much energy is radiated during the collision? I'd be happy with the "simplest" case of the head-on collision in the center-of-mass frame, but am curious how one would go about calculating it, or else a demonstration that it's zero.

Question 2: Since it seems there must be some energy radiated, doesn't this mean that charged particle collisions cannot be elastic? And if that's true, does that mean that any matter-matter interaction is dissipative, even at the microscopic level? (Gravitational interactions radiate gravity waves, which carry energy away, so we already know that they are dissipative.)

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