1. The problem statement, all variables and given/known data There are two independent subsystems with angular momenta j1 = j2 = 1. States have to be found for the whole system with angular momentum j = 2. 2. Relevant equations Basic procedure for addition of Angular Momentum in Quantum Mechanics 3. The attempt at a solution Basically j = j1 + j2 I go through the states starting with 2 using the equations in the guide. So basically we are limited to states |2, 2> |2, 1>, |1, 1> |2, 0>, |1, 0>, |0, 0> But I'm not sure if it's the right way to go through the states. Also, maybe there are better guides since I'm not even sure if this one applies to the problem. I'm looking into Clebsch–Gordan coefficients at the moment.