ChemE fag here. Just started a course where we see a little of quantum mechanics. Let's consider the 1-d particle in a finite potential well. Psi is non zero for every finite distance. Let's suppose that at t=0 we measure the electron's position to be in a certain interval. Is it possible then, that if we were to make another position measure after a certain time DT, the new position of the particle will be at a distance from the first measured one that is bigger than the distance light travels in that time interval? Sorry for the rookie question , but then again I'm a rookie in the subject.