Well, I was trying to read QM from my favorite book- Feynman Lectures but there was one thing either he missed or I missed. The latter one is more probable. Actually, I wanted to know why we need probability amplitudes. What's the connection of them with nature(or mathematics) that make them easier to find than probability? I am asking this because I think they must have been in use because they are much easier to find than the all more important probability.
I really couldn't guess its use. Is it much more close to the "harmonic motion"(which I know it isn't, but still "amplitude" is used, there must be some significance)?
My guess: It might be that there is interference of waves and during that, the significant thing is the amplitude and the probability becomes proportional to its absolute square. But then again I am stuck.
So, in a nutshell, I want to know how to develop a quantum-mechanical thinking. Quantum physicists can witness the results but a reader - how can he predict what's happening or what'll happen? I think there is no way other than believing the facts and the math.