Distribution of the delay time and the dwell time for wave reflection froma long random potential

We re-examine and correct an earlier derivation of the distribution of the Wigner phase delay time for wave reflection from a long one-dimensional dis ordered conductor treated in the continuum limit. We then numerically compa re the distributions of the Wigner phase delay time and the dwell time, the latter being obtained by the use of an infinitesimal imaginary potential a s a clock, and investigate the effects of strong disorder and a periodic (d iscrete) lattice background. We find that the two distributions coincide ev en for strong disorder, but only for energies well away from the band-edges .