Determination of scattering angle.

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SUMMARY

The discussion centers on the determination of scattering angles in particle collisions within the center of mass frame. Participants confirm that the scattering angles are inherently random, governed by quantum mechanics principles, and not indicative of an effect without a cause. The probability distribution of the scattered wave in relation to the angle θ is emphasized, highlighting the randomness of detected scattering angles. The conversation reflects a common struggle to reconcile randomness in quantum mechanics with deterministic expectations.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with particle collision dynamics
  • Knowledge of probability distributions in physics
  • Basic concepts of the center of mass frame
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  • Research quantum mechanics randomness and its implications
  • Study probability distributions in quantum scattering
  • Explore the concept of the center of mass frame in particle physics
  • Investigate the role of time (tau) in scattering processes
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Physics students, particle physicists, and anyone interested in the principles of quantum mechanics and scattering theory.

taylrl3
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Hi,

When two particles collide in the centre of mass frame, they interact and then scatter. Am I right in thinking that the resultant scattering angles are completely arbitrary? If so is this a case of an effect with no cause? Just hoping someone can clear this up for me.

Many thanks!
 
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The scattered wave has a probability distribution in θ, so you're right that when you detect an outgoing particle, its scattering angle will be random. Not a case of "an effect with no cause", however, it's just typical quantum mechanics.
 
Thanks for the response!

It is just typical quantum mechanics. I guess my question comes from my struggle to accept that anything is completely random.

Not sure I can remember the undergrad proof of why things can be random. I should go and look it up!

Could you say that the angle was somehow dependent upon tau?
 

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