- 15-36 Laurent Bruneau, Vojkan Jaksic, Yoram Last, Claude-Alain Pillet
- Conductance and absolutely continuous spectrum of 1D samples
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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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