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A system is in the state = m, an eigenstate of the angular momentum operators L² and L₂. Calculate expectation values (Lx) and (L2). You can use a faster way by physical reasoning. You can, of course use raising L, and lowering L_ operators, but it will take more time.

A system is in the state = m, an eigenstate of the angular momentum operators L² and L₂. Calculate expectation values (Lx) and (L2). You can use a faster way by physical reasoning. You can, of course use raising L, and lowering L_ operators, but it will take more time.

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A system is in the state \( \psi = \phi_{lm} \), an eigenstate of the angular momentum operators \( L^2 \) and \( L_z \). Calculate expectation values \( \langle L_x \rangle \) and \( \langle L_z^2 \rangle \). You can use a faster way by physical reasoning. You can, of course, use raising \( L_+ \) and lowering \( L_- \) operators, but it will take more time.
Transcribed Image Text:A system is in the state \( \psi = \phi_{lm} \), an eigenstate of the angular momentum operators \( L^2 \) and \( L_z \). Calculate expectation values \( \langle L_x \rangle \) and \( \langle L_z^2 \rangle \). You can use a faster way by physical reasoning. You can, of course, use raising \( L_+ \) and lowering \( L_- \) operators, but it will take more time.
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