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(Solved): (3) Show that the operator S1,S2 can be written as: S1S2=S12S22+21(S+1S ...


(3) Show that the operator \( S_{1}, S_{2} \) can be written as: \[ S_{1} \cdot S_{2}=S_{12} S_{22}+\frac{1}{2}\left(S_{+1} S

(3) Show that the operator can be written as: Then find the matrix form of operator in Also in (5) prove that the eigen function of operators: are not all an eigen function for operator


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3) We know that the operators S1?, S2? can be written in terms of raising and lowering operators as:S1 = S+1 + S-1S2 = S+2 + S-2Therefore, the product
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