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

In summary, colliders use a pinhole to eject particles with known momentum in a specific direction. The operators and designers of the instrument have knowledge of both the position and energy of the particles, although there may be some uncertainty. This is due to the high momentum and the uncertainty principle, which relates to the spread of momentum, position measurement, and Planck's constant.
  • #1
jshrager
Gold Member
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1
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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  • #2
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.
 
  • #3
Ah. Great. Thanks!
 

1. How does a collider determine the energy of a particle?

A collider uses electromagnetic fields to accelerate particles to high energies, and then measures the energy of the particle based on its trajectory and speed.

2. How does a collider determine the position of a particle?

A collider uses detectors to measure the position of a particle by tracking its interactions with the detector material.

3. Can a collider accurately determine both the energy and position of a particle at the same time?

Yes, a collider can determine both the energy and position of a particle at the same time by using multiple detectors and advanced analysis techniques.

4. Are there any limitations to how accurately a collider can measure the energy and position of a particle?

While colliders are extremely precise, there are still limitations to how accurately they can measure the energy and position of a particle. These limitations are due to factors such as the size of the detectors and the uncertainty principle in quantum mechanics.

5. How do scientists use the data from a collider to study particles and their interactions?

Scientists use the data collected from colliders to analyze the properties and behavior of particles, as well as to study the fundamental forces and interactions between them. This data is then compared to theoretical models and can lead to new discoveries and advancements in our understanding of the universe.

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