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nf405
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Homework Statement
Ok,as part of my dissertation I'm trying to explain about how quarks have a bigger quantum wavelength than protons so when you localise a quark inside a proton, the uncertainty in energy of the system becomes really big so there's a load of creation/anhilitation of other particles going on inside the proton.
This is how my supervisor explained it but I'm not sure I get it...
The Attempt at a Solution
This is what my supervisor said;
(I'm using D as 'uncertainty in', and h means h bar)
to work out quantum wavelength of a proton;
Start with Heisenberg
1)DpDx>h (for a start I think this should be h/2)
2)then use E=pc ------I don't understand why you can use this- it's not a realtivistic case. My supervisor said it works if you say that the proton is gaining energy by being hit with photons... but then
3) sub equation (2) into(1)
DE>hc/Dx
but the momentum in 1) is the momentum of the proton and in 2) its the momentum of the photon so how does that work?
4) then you sub in E=mc^2 to get; Dx>hc/mc^2
and the quantum wavelength is h/mc
I don't think this is right does anyone have a better argument?
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