How does a collider know both the energy and position of the particle?

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SUMMARY

Colliders utilize precise ejection mechanisms to determine both the energy and position of particles. The ejection occurs through a pinhole, allowing operators to measure momentum and position simultaneously, albeit with limitations imposed by the Heisenberg uncertainty principle. High momentum particles exhibit localized behavior, as small deviations in momentum lead to significant changes in position, governed by Planck's constant. This interplay between momentum and position measurement is crucial for understanding particle behavior in colliders.

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  • Basic principles of collider physics
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jshrager
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Presumably a collider has some sort of pinhole out of which particles get ejected in a particular direction, and the energy (momentum) with which they are ejected is supposedly known. So, the operators/designs of the instrument know both the position (at the ejection pinhole, or whatever) and momentum (energy) of these particles...uh...how?! Maybe they really don't know them both as precisely as one (or at least I) am lead to believe? (This is not to mention ejection time!)
 
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Colliders shoot particles at very *high* momentum at each other. The uncertainty principle is about the *spread* of momentum, related to position measurement and Planck's constant, a very *tiny* number.


So if you have high momentum particle, you have automatically very localized particles, since already very small deviations from their high momentum are large compared to Planck's constant which enters the uncertainty relation.
 
Ah. Great. Thanks!
 

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