1. The problem statement, all variables and given/known data Is it possible given a wavefunction ψ(x,t) to find the probability that the particle is at a particular location over an interval of time? 2. Relevant equations 3. The attempt at a solution Intuitively, given that the probability of finding the particle in a region a<x<b at a time t is ∫ab|ψ(x,t)|2dx, i would guess that the probability of finding the particle ti<t<tf at the point x would be ∫titf|ψ(x,t)|2dx. However, this leads to a bit of a paradox: this integral can leads to probabilities greater than 1, which would suggest that I am missing something pretty critical.