Correlations in Spin-Singlet states

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SUMMARY

The discussion focuses on the representation of spin-singlet states in quantum mechanics, specifically addressing the correlation between particles A and B when particle B has an up spin along the x-axis. The participants emphasize the need to utilize the lma,mb> state, which is valid only along the z-axis, and suggest transforming to the eigenbasis of ##J_x## for accurate representation. The conclusion drawn is that the state representation remains consistent with the previous case, regardless of the measurement axis.

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  • Familiarity with the concept of spin-singlet states.
  • Knowledge of basis transformations in quantum mechanics.
  • Proficiency in using eigenkets and operators such as ##J_x##.
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Homework Statement


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Homework Equations

The Attempt at a Solution


In (b), if particle B has up spin (x-axis), then A should have down-spin(x-axis). The problem ask the state by using lma,mb> state.
This state is valid only in z-axis, but how can i represent that state ??
I think the answer is the same with (a) regardless of the x-axis measurement
 
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You could try changing to the basis of eigenkets of ##J_x## and then changing back.
 

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