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.