(Answered) Consider the addition of two spin -12 angular momenta

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Consider the addition of two spin -1/2 angular momenta, S^→(1) and S^→(2)

1. How many states are there in the product basis?

2. If J^→ = S^→(1) + S^→(2), what are the possible eigenvalues of the dot product of J^→.J^→?

3. By using the recursive algorithm construct all the Clebsch-Gordan coefficients for this problem.

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