Hi, This is silly, but I'm confused as to how we use the unit circle as a representation of particle states. I've been given the formula (probability distribution)=α|0> + β|1> (or in radians sin∅|0> + cos∅|1> or something), where the probability of a particle being in a certain state is the "amplitude" (which is...?) squared (so the probability of state 0 is α^2 as I understand it). At least that's what I think, there is a huge possibility I got it all wrong, I'm making a horrible blunder of this I do apologize. Anyways, it's obvious I am seriously lacking intuition behind these probability amplitudes, any help would be appreciated. Thanks!