TIME-DELAY IN RANDOM SCATTERING

This work treats the time delay in scattering for the Schrodinger equation with a random potential. The time delay is related to the energy derivative of the phase shift. In the white noise limit, the phase shift and time delay satisfy a system of stochastic differential equations. In the high-frequency limit, the time delay is governed by a single stochastic differential equation. In this limit, the expected time delay is zero, but the variance of the time delay is the square of a kinematical time multiplied by a function of the ratio of the length of the scatterer to the localization length.