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Calculating the values of Spin Angular Momentum

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Calculate the value of <S_x>,<&#8710;S_x>,<S_y>,<&#8710;S_y> ,<S_z> ,<&#12310;&#8710;S&#12311;_z> for the wave function

1/&#8730;2 [exp&#8289;(i&#948;/2) |1/2 1/2>+exp&#8289;((-i&#948;)/2)|1/2-1/2>]

Note the labels in the kets are |&#12310;sm&#12311;_s>.

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The expert calculates the values of spin angular momentum.

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