Crystalline conductance and absolutely continuous spectrum of 1D samples

Abstract : We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the Crystaline Landauer-Büttiker conductance of the associated finite samples.
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Laurent Bruneau, Vojkan Jaksic, Yoram Last, Claude-Alain Pillet. Crystalline conductance and absolutely continuous spectrum of 1D samples. Letters in Mathematical Physics, Springer Verlag, 2016, 106 (6), pp.787-797. ⟨10.1007/s11005-016-0844-8⟩. ⟨hal-01235913⟩

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