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An Inverse Problem for an Harmonic Oscillator Perturbed by Potential: Uniqueness

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Abstract

Consider the perturbed harmonic oscillator Ty = -y" + x2y + q(x)y on L2(R) where the real potential q satisfy some assumption on infinity (the case q ∈ L2(R), (∣t∣+1)-rdt), r < 1 is covered).

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Authors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, Germany

    Dmitri Chelkak

  2. Faculty of Math. and Mech., St-Petersburg State University, Russia

    Dmitri Chelkak & Pavel Kargaev

  3. Institut für Mathematik, Humboldt Universität zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

    Evgeni Korotyaev

Authors
  1. Dmitri Chelkak
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  2. Pavel Kargaev
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  3. Evgeni Korotyaev
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Chelkak, D., Kargaev, P. & Korotyaev, E. An Inverse Problem for an Harmonic Oscillator Perturbed by Potential: Uniqueness. Letters in Mathematical Physics 64, 7–21 (2003). https://doi.org/10.1023/A:1024985302559

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