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Local Perturbations of the Schrödinger Operator on the Axis

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Abstract

We present necessary and sufficient conditions for the existence of eigenvalues of the Schrödinger operator on an axis under small local perturbations. In the case where the eigenvalues exist, we construct their asymptotic approximations.

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Authors and Affiliations

  1. Bashkir State Pedagogical University, Ufa, Russia

    R. R. Gadyl'shin

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  1. R. R. Gadyl'shin
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Gadyl'shin, R.R. Local Perturbations of the Schrödinger Operator on the Axis. Theoretical and Mathematical Physics 132, 976–982 (2002). https://doi.org/10.1023/A:1019615509634

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  • DOI: https://doi.org/10.1023/A:1019615509634

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