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arxiv: 1512.00099 · v1 · submitted 2015-12-01 · 🧮 math-ph · math.MP· math.SP· quant-ph

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Crystalline conductance and absolutely continuous spectrum of 1D samples

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classification 🧮 math-ph math.MPmath.SPquant-ph
keywords absolutelyconductancecontinuoussamplesspectrumassociatedbehaviorcharacterize
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We characterize the absolutely continuous spectrum of half-line one-dimensional Schr\"odinger operators in terms of the limiting behavior of the Crystaline Landauer-B\"uttiker conductance of the associated finite samples.

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