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Lower bounds on the width of Stark-Wannier type resonances

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Abstract

We prove that the Schrödinger operator −d 2/dx2+Fx+W(x) onL 2(R) withW bounded and analytic in a strip has no resonances in a region ImE≥−exp(−C/F).

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France

    J. Asch & P. Briet

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  1. J. Asch
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  2. P. Briet
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Communicated by B. Simon

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Asch, J., Briet, P. Lower bounds on the width of Stark-Wannier type resonances. Commun.Math. Phys. 179, 725–735 (1996). https://doi.org/10.1007/BF02100105

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  • DOI: https://doi.org/10.1007/BF02100105

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