2. The spin state vector of a particle with spin $s = 1$ is given by \begin{equation*} |\Psi\rangle = A \begin{pmatrix} 2 \ 2i \ -1 \end{pmatrix}, \end{equation*}where $A$ is a real constant. If you measure $S_x$ what values might you get with what probabilities?
Added by Jennifer V.
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Since the spin state vector is given by 2 |Y>, we know that the squared magnitude of the vector should be equal to 1. Therefore, we have: |2|^2 * |Y|^2 = 1 4 * |A|^2 * |2i|^2 = 1 4 * |A|^2 * (-1)^2 = 1 4 * |A|^2 = 1 |A|^2 = 1/4 |A| = 1/2 Now that we have Show more…
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