> That's say I have a space with two electrons moving in different
> directions.
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>
> My question is: How far does the repulision move them?
Okay, let me start off by saying that I haven't studied QED. That being
said, I know enough about mechanics to know you're looking at this in
the completely wrong way. Photons carry energy and momentum. If a
photon collides with an electron, it will impart momentum to it, not
cause the electron to move a certain distance and then stop. This is in
line with what we know about classical fields, which continually cause
the momentum of a particle influenced by them to change.
Of course, in any quantum field theory, we'll have to be dealing with
probabilities and perturbations, so it's not like a photon is just going
to suddenly appear every time the two electrons are a certain specific
distance apart. You're going to get something a lot more complicated
than two electrons that come toward eachother on linear trajectories,
stop at a certain distance, then reverse direction. How complicated? I
don't know, maybe someone who knows something about QED will step in.
But in short, the impulse gained from a single photon hitting an
electron should be enough to move the electrons infinitely far apart
gvien enough time, provided no other forces are acting on them.