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A spherical rotor is initially in a state described by angular momentum states |l, m) given by IV(0)) = A 410, 0) + vV3]1, 1) + v212, –1)] (a) Find the value of the normalization constant A. (b) What is the expectation value of the energy ?(Assume Ĥ = L/2). 2 (c) What is the expectation value of L2? (d) If one were to measure Lz, what values would you get and what are the probabilities associated with those values?

A spherical rotor is initially in a state described by angular momentum states |l, m) given by IV(0)) = A 410, 0) + vV3]1, 1) + v212, –1)] (a) Find the value of the normalization constant A. (b) What is the expectation value of the energy ?(Assume Ĥ = L/2). 2 (c) What is the expectation value of L2? (d) If one were to measure Lz, what values would you get and what are the probabilities associated with those values?

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Angular Momentum operator A spherical rotor is initially in a state described by angular momentum states |l, m) given by lV(0)) = A 4|0, 0) + v3|1, 1) + v2|2, – 1)] (a) Find the value of the normalization constant A. (b) What is the expectation value of the energy ?(Assume Ĥ = L°/21). (c) What is the expectation value of L2? (d) If one were to measure Lz, what values would you get and what are the probabilities associated with those values?
Transcribed Image Text:Angular Momentum operator A spherical rotor is initially in a state described by angular momentum states |l, m) given by lV(0)) = A 4|0, 0) + v3|1, 1) + v2|2, – 1)] (a) Find the value of the normalization constant A. (b) What is the expectation value of the energy ?(Assume Ĥ = L°/21). (c) What is the expectation value of L2? (d) If one were to measure Lz, what values would you get and what are the probabilities associated with those values?
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