Hi there, I would be most grateful if someone would explain how do we calculate the spin function χ(s_1,s_2 )=1/√2 [α(s_1 )β(s_2 )±α(s_2 )β(s_1 )] both the symmetric and antisymmetric α(s_1 )β(s_2 )+α(s_2 )β(s_1 ) = ? α(s_1 )β(s_2 )-α(s_2 )β(s_1 ) = ? knowing that α( + 1 / 2) = β( − 1 / 2) = 1 and α( − 1 / 2) = β( + 1 / 2) = 0. And how do we get singlet (S=0, S_z=0) and triplet (S=1, S_z=+1,0,-1) states from this? I have not found this explained explicitly anywhere, everybody seems to take it for granted, and it is really bothering me. Thank you very much for possible clarification!