A trivial problem, but I am stuck.(adsbygoogle = window.adsbygoogle || []).push({});

Prove that

[tex]e^{i\pi S_y}|S\ 0\rangle = (-1)^S |S\ 0\rangle[/tex]

I proved the S = 1 case, by expanding [tex]|S\ 0\rangle[/tex] in the basis of [tex]S_y[/tex]'s eigenvectors. How to do for general case?

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# Trivial spin problem

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