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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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