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[QUE/QM-20003]

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A particle is in the spin state given by $$   \left( \begin{array}{r} \displaystyle{1\over\sqrt{5}}\\[4mm]\displaystyle {-2\over\sqrt{5}}  \end{array} \right) $$

  1. Compute the ratio of probabilities that the \(S_x\) has values \(\pm \frac{\hbar}{2}\)
  2. Compute the average value of the spin projection in the direction $(1,1,1)$.

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4727:Diamond Point

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