A beam of spin-1 particles is prepared in the state:\left| \Psi \right \rangle = \frac{2}{\sqrt{29}}\left| 1\right \rangle_y +\frac{3i}{\sqrt{29}} \left| 0\right \rangle_y - \frac{4}{\sqrt{29}}\left| -1\right \rangle_ya) What are the possible results of a measurement of the spin component Sz, and with what probabilities would they occur?b) What are the possible results of a measurement of the spin component Sx , and with what probabilities would they occur?c) Plot histograms of the predicted measurement results from parts (a) and (b), and calculate the expectation values for both measurements



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