Abstract
We obtain necessary and sufficient conditions for the appearance of a small eigenvalue of the Schrödinger operator on the plane under local operatorial excitations. In the case where the small eigenvalue exists, we construct its asymptotic behavior. We present examples.
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Gadyl'shin, R.R. Local Perturbations of the Schrödinger Operator on the Plane. Theoretical and Mathematical Physics 138, 33–44 (2004). https://doi.org/10.1023/B:TAMP.0000010631.40891.f0
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DOI: https://doi.org/10.1023/B:TAMP.0000010631.40891.f0