As I understand Coulomb potential associated with charged particle is described classically. My question is if there is a way how to describe Coulomb potential of charged particle that is in quantum superposition of being "here" and "there"? My motivation for question is that I am trying to imagine amplification process of microscopic event. In avalanche photodiodes single excited electron interacts with population of other electrons in unstable configuration. I am interested if this process can rule out some viewpoints about QM.