My question relates to the photoelectric effect. Namely: why is a photon not produced by the photoelectric effect? If an electron gains a certain amount of kinetic energy from the incident photon, do we not call this change in kinetic energy 'acceleration'? If so, I thought that all accelerating charges produce an EM wave (a photon?).
Is my assumption here that the electron accelerates, wrong? If so, why is it wrong?