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Asymptotics of resonances for 1D Stark operators

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Abstract

We consider the Stark operator perturbed by a compactly supported potential on the real line. We determine the forbidden domain for resonances, asymptotics of resonances at high energy and asymptotics of the resonance counting function for large radius.

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Acknowledgements

Our study was supported by the RSF Grant No. 15-11-30007.

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  1. Saint-Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, Russia, 199034

    Evgeny L. Korotyaev

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  1. Evgeny L. Korotyaev
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Correspondence to Evgeny L. Korotyaev.

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Korotyaev, E.L. Asymptotics of resonances for 1D Stark operators. Lett Math Phys 108, 1307–1322 (2018). https://doi.org/10.1007/s11005-017-1033-0

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