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Natural Science Forum / Physics / Research / March 2005



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QED Question, how far does the electron move?

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Mike Helland - 30 Mar 2005 21:02 GMT
That's say I have a space with two electrons moving in different
directions.

____o>

_________________<o

The arrows (< and >) indicate the direction the electron is travelling.

Now, say that when they get close a single photon is exchanged.

That means they should repel, correct?

My question is: How far does the repulision move them?

There are probably alot of unknowns here:

How fast are the electrons move?
How far a part are they to begin with?
What are the electrons positions when the photon is exachanged?
ect.

I would be grateful if someone could just pick values that might be
typical of this sort of situation, and solve the problem.

I am interested in knowing what happens and what sort of scales are
involved when it does.

Thanks.
Mark Palenik - 31 Mar 2005 07:54 GMT
> That's say I have a space with two electrons moving in different
> directions.
[quoted text clipped - 10 lines]
>
> 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.
 
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