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## Homework Statement

What are the allowed values of the total angular momentum quantum number j for a particle with spin s=3/2 and orbital angular momentum quantum number l=2?

I know that the angular momentum addition theorem states that the allowed values for the total angular momentum quantum number j given two angular momentum j1 and j2 are

j=j1+j2 , j1+j2-1, ...j1-j2

where m=j, j-1,...-j

but I'm not sure how the spin number s relates to the second angular momentum quantum number.