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Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples

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Abstract

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer–Büttiker conductance of the associated finite samples.

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Authors and Affiliations

  1. Département de Mathématiques and UMR 8088, CNRS and Université de Cergy-Pontoise, 95000, Cergy-Pontoise, France

    Laurent Bruneau

  2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke, Street West, Montreal, QC, H3A 2K6, Canada

    Vojkan Jakšić

  3. Institute of Mathematics, The Hebrew University, 91904, Jerusalem, Israel

    Yoram Last

  4. Université de Toulon, CNRS, CPT, UMR 7332, 83957, La Garde, France

    Claude-Alain Pillet

  5. Aix-Marseille Université, CNRS, CPT, UMR 7332, Case 907, 13288, Marseille, France

    Claude-Alain Pillet

  6. FRUMAM, Marseille, France

    Claude-Alain Pillet

Authors
  1. Laurent Bruneau
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  2. Vojkan Jakšić
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  3. Yoram Last
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  4. Claude-Alain Pillet
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Correspondence to Vojkan Jakšić.

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Bruneau, L., Jakšić, V., Last, Y. et al. Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples. Lett Math Phys 106, 787–797 (2016). https://doi.org/10.1007/s11005-016-0844-8

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  • DOI: https://doi.org/10.1007/s11005-016-0844-8

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