Diffusion in momentum space for systems in a random time-dependent electric field: The 1D hydrogen atom

It is argued that diffusion in momentum space exists for 1D quantum systems (H₀=p²+V(x)) in a random external electric wavefield (Fb(t)x). In the high-field regime, a diffusion type equation is found explicitly for the probability density. In this regime, diffusion is a consequence of randomization in the quantum system. Particularly, this result is also valid for the 1D hydrogen atom in a random wavefield. So the interference phenomenon, which is a typical property in quantum systems, is disturbed by randomization. This could have important inferences in the phenomenon known as quantum suppression of classical chaos where interference gives dynamical localization.