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The invariant imbedding evolution equations for the amplitude reflection andtransmission coefficients of a disordered 1D chain are shown to follow from thecontinuum limit, for weak disorder, of recursion relations between reflection(transmission) coefficients of Anderson chains of N and N-1 atoms embedded ininfinite non-disordered chains. We show that various available analytical andnumerical results for reflection phase distributions in the Anderson- andinvariant imbedding models are in good qualitative agreement, as expected fromthe above equivalence of these models. We also discuss the distribution ofreflection phases and of reflection delay times for an Anderson model with asimple distribution of on-site potentials characterizing extreme strongdisorder.Comment: 6 pages, RevTe

physical review. b, condensed matter

Relation between Anderson and invariant imbedding models for transport in finite chains and study of phase and delay time distributions for strong disorder