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PROBLEM/QM-10005

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  1. Find the matrices representing the operators $J_+, J_- \text{and} J_z$ in the basis $|jm\rangle.$
  2. Use your answers in part (a) to find the matrices for the operators $J_x$ and $J_y$.
  3. What answer do you expect for the matrix for $J^2$? Check if your guess is correct or not by computing the matrix for $L^2$ using the matrices found above.

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