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[QUE/QM-08006]

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  1. What are the eigenvalues of $L^2 + \alpha L_x + \beta L_y + \gamma L_z$ for $\ell=2$. Give a full explanation for your answer.
  2. Construct matrices for $L_x,L_y, L_z$ for $\ell=1$ case and verify that $L^2$ is a multiple of identity.

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