Scattering phase shift in stochastic fields

A very simple model of a spherically symmetric potential like μ/r, with μ varying randomly along r, the distance from the scattering centre is analysed and it is found that if μ changes its sign in a stochastic fashion, the average potential felt at each point r consists of a coulomb part as well as a short range Yukawa type component. Using the non linear equations for the phase function for potential scattering of a Schrödinger particle, the average and other moments of the phase shifts can be computed in certain approximations. © 1966 Springer-Verlag.