We are to add angular momenta j₁ = 1 and j₂ = 1 to form j = 2, 1 , and 0 states. Using either the ladder operator method or the recursion relation, express all (nine) {j,m} eigenkets in terms of |j₁j₂;m₁m₂⟩. Write your answer as

where + and 0 stand for m_1,2 = 1 , 0, respectively.

\j = 1,m = 1) = 1 :|+,0) v21 - 1 10, +),..., 2