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Destruction of Absolutely Continuous Spectrum by Perturbation Potentials of Bounded Variation

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Abstract

We show that absolutely continuous spectrum of one-dimensional Schrödinger operators may be destroyed by adding to them decaying perturbation potentials of bounded variation.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Givat Ram, 91904, Jerusalem, Israel

    Yoram Last

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  1. Yoram Last
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Correspondence to Yoram Last.

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Communicated by B. Simon

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Last, Y. Destruction of Absolutely Continuous Spectrum by Perturbation Potentials of Bounded Variation. Commun. Math. Phys. 274, 243–252 (2007). https://doi.org/10.1007/s00220-007-0264-9

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  • DOI: https://doi.org/10.1007/s00220-007-0264-9

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