I am currently going through the Cohen-Tannoudji quantum mechanics volume 2 textbook. I have reached the addition of angular momenta and am working on a complement in the book. The book is explaining how to find the |1,0> vector in the |J,M> basis. In this situation we have two particles both with orbital angular momenta equal to 1.
The book says it is interesting that a certain vector is not present in the |1,0> and while I understand mathematically why it is absent, I am not understanding why physically this would occur. Could anyone try and provide some reason why this is? I am assuming it has something to do with the singlet and triplet states, but I am unsure!
Thanks for any help in advance!