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Addition of spin angular momenta

Addition of spin angular momenta

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

See attached file for full problem description.


Solution Summary

This solution provides step by step calculations for states, eigenvalues, and Clebsch-Gordan coefficients.