Consider \(I^{2}=I_{x}^{2}+I_{y}^{2}+I_{z}^{2}\). Use Eqs. (8.27), (8.28), and (8.29) to show that \(I^{2} u_{j m}=j(j+1) u_{j m}\).

Equations

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== I+|jm)=j(j + 1) m(m + 1)|j m + 1) I_ |j m) = j(j + 1) m(m 1) | j m 1) Izjm) mjm). = (8.27) (8.28) (8.29)