15-36 Laurent Bruneau, Vojkan Jaksic, Yoram Last, Claude-Alain Pillet
Conductance and absolutely continuous spectrum of 1D samples (475K, pdf) Apr 27, 15
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Abstract. We characterize the absolutely continuous spectrum of the one-dimensional Schr dinger operators $h=-\Delta+v$ acting on $\ell^2(\mathbb{Z}_+)$ in terms of the limiting behaviour of the Landauer-B ttiker and Thouless conductances of the associated finite samples. The finite sample is defined by restricting $h$ to a finite interval \$[1,L]

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