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arxiv: cond-mat/9908325 · v1 · submitted 1999-08-24 · ❄️ cond-mat.dis-nn · cond-mat.mes-hall

Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

C.W.J. Beenakker , P.W. Brouwer This is my paper
classification ❄️ cond-mat.dis-nn cond-mat.mes-hall
keywords absorbingweaklycavitychaoticeigenvaluesabsorptionaccordingdistributed
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The scattering-matrix product SS+ of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption. It follows from this relationship that the eigenvalues of SS+ for a weakly absorbing chaotic cavity are distributed according to a generalized Laguerre ensemble.

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