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Please help with the following QM question regarding angular momentum; you may want to refer to the Clebsch-Gordan coefficient tables. For this problem you may

Please help with the following QM question regarding angular momentum; you may want to refer to the Clebsch-Gordan coefficient tables.

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For this problem you may want to refer to the ClebschGordan coefcient tables. (a) Suppose we have a spin1 particle and a spin2 particle and they are in a state where the total spin has denite value 3 = 3, while the zcomponent of the total spin is h (m = 1). Suppose that we measure the zcomponent of the spin of the spin1 particle only (12) for this state. What are the possible values that we could measure and with what probability for each? (b) Suppose that we have a spinup electron in the hydrogen excited state 79620 (n = 6, E = 2, m = 0). Let's imagine that we can measure the total angular momentum of the electron. In particular, dening J 6 = L,3 + Se we can measure J2. What are the possible values of J 3 that could be measured and with what probability

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