Why Does Spin Add? Quantum Mechanics Explained

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SUMMARY

The discussion centers on the concept of spin addition in quantum mechanics, specifically addressing the non-intuitive nature of combining spins of particles. Participants highlight that while classical angular momentum is additive, quantum spin does not follow the same rules. For instance, combining two spin-1 particles can yield a resultant spin of 1, while combining spin-3 and spin-4 can result in a spin of 2. This reveals the complexities inherent in quantum mechanics that challenge classical interpretations.

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  • Understanding of quantum mechanics principles
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  • Knowledge of spin quantum numbers
  • Basic grasp of particle physics
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Students and professionals in physics, particularly those focusing on quantum mechanics, particle physicists, and educators seeking to deepen their understanding of spin and angular momentum concepts.

Xian
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Why is it that spin adds? I mean sure, the classical analogy tells us that angular momentum is additive, but that I feel is a cop out. What inside of the formalism for quantum mechanics tells us that we should be adding spin of two particles?
 
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It doesn't. You can add spin 1 and spin 1 and get spin 1. Or 3 and 4 and get 2. Or...
 

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