Hi! If we consider composite systems of two spinning particles in a box we find that there are states where the total spin add such that [tex] s = s_1 + s_2[/tex] but where the projection of the spin along the z-axis can vary. For example the spin state [tex] |s,s-2\rangle = a |s_1,s_1 -2 \rangle \otimes |s_2,s_2\rangle + b |s_1,s_1-1\rangle \otimes |s_2,s_2-1\rangle + c |s_1,s_1 - 2 \rangle \otimes |s_2,s_2\rangle[/tex] is such a state. As I have understood it one can understand such states where the total spin just add as states for which the spins of the two particles are parallel. However there arises a question for how two spins can be parallell when one of the particles does not have all it's angular momenta along the z-axis.. For if we were to make a mesurement on this state above we would have a possibility to find that the particles were in the state [tex]|s_1,s_1 - 2 \rangle \otimes |s_2,s_2\rangle.[/tex] Here the two total spins add, but the z-component of the particle 2 spin is tipped of two units away from the z-axis. How can we understand these states to be parallel?