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On perturbation of a Schrödinger operator on axis by narrow potentials

On perturbation of a Schrödinger operator on axis by narrow potentials

We consider a Schrödinger operator on the axis with two complex-valued potentials depending on two small parameters.One of these parameters describes the length of the supports of the potentials, while the other corresponds to the maximal values of the absolute values of the potentials.We obtain the sufficient condition ensuring the …