Article

    Ufa Mathematical Journal
    Volume 3, Number 3, pp. 54-64

    Perturbation of the Shr\"{o}dinger operator by a narrow potential.


    Gadyl'shin R.R., Khusnullin I.Kh.

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    A discrete spectrum of the Schr\"{o}dinger operator perturbed by a potential on the real line is studied. The potential depends on two small parameters. One of the parameters describes the length of the support of the potential and the inverse of the other parameter corresponds to the magnitude of the potential.