recent study have invoked a question which I wish you could help with.
So in quantum that I learned that the wave function of electrons in a free-potential behave as plane waves, even in solids with small perturbations.
This tells you that in a free-potential space the electron could be found anywhere. I understand that this is an ideal case, and perfect plane waves don't occur in nature.
Do we say electrons in a macroscopic scale act as particles because plane waves converges and the wave function is local in a finite region? Otherwise, I don't see how zooming out on the length scale will demonstrate particle like behavior of a plane wave electron, as if its wave function is truly plane wave-like, it will be likely to be found anywhere even at the macro scale.
Thank you for your insight,