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The state ) of a spin-1 particle is given by 1 |4) = 3 (11,1) + 2i 3 in - |1,0) exp + |1,1)

The state ) of a spin-1 particle is given by 1 |4) = 3 (11,1) + 2i 3 in - |1,0) exp + |1,1) exp. 3 where S, Mg) denote the spin eigenstates with eigenvalues hS(S + 1) and hM, respectively. Find (S), i.e. the expectation value of the x component of the spin.

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