Probability of Spin Polarization in Pair Production

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SUMMARY

The discussion centers on the probability of spin polarization in pair production, specifically when a spin-0 particle annihilates into two spin-1 particles. The consensus is that the probability of their spins being aligned in the same direction is zero due to conservation of angular momentum, which dictates that the spins must be opposite unless influenced by an external interaction. This principle underpins the concept of entanglement and non-locality in quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly spin and angular momentum.
  • Familiarity with particle physics concepts, including pair production and annihilation.
  • Knowledge of quantum entanglement and its implications in non-locality.
  • Basic grasp of correlation functions in quantum systems.
NEXT STEPS
  • Study the principles of quantum entanglement and its mathematical formulation.
  • Research conservation laws in quantum mechanics, focusing on angular momentum conservation.
  • Explore correlation functions in quantum field theory and their applications.
  • Examine case studies of pair production and its implications in particle physics.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in particle physics and the foundations of quantum theory.

brodskya
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Hi, I have a question which sounds like :
Particle with spin 0 annihilates in two particles with spin one. What is the probability their spin polarization will in the same direction in short time?

I think is 0 because of argument saving spin of the system and correlation function of two particle is 1 (it's correlated in t=0), but by the time the system will become be not correlated at all. Is my logic right ?
 
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Conservation of angular momentum requires that their spins be in opposite directions unless they interact with another object.
 
clem said:
Conservation of angular momentum requires that their spins be in opposite directions unless they interact with another object.

This is the basis for entanglement in part, so really it's fairly well established if you're into non-locality. (and who isn't lol. lol. *sigh*)
 

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