# Potentials and position uncertainty

In the Schrodinger equation, we have some potential $V(x)$. But generally, there is some uncertainty in the position with solutions to Schrodinger's equation. Classically, we would say that a particle at position $x$ is associated with the potential at that point -- is there a quantum analog when the position wavefunction isn't localized? What's to say if a particle is in a potential or not if it doesn't have a well-defined position?