Geodesic
On levels of the one-dimensional Schr\"odinger operator on the boundary of the essential spectrum
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 31 (2005) no. 1, pp. 107-112.

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We consider the one-dimensional Schrödinger operator $H$ with the non-local perturbed step potential. We prove that there exists the unique level (i.e. eigenvalue or resonance of the operator $H$) in the neighborhood of the boundary of the essential spectrum of the operator $H$. We investigate the asymptotic behaviour of this level. 
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N. I. Pletnikova. On levels of the one-dimensional Schr\"odinger operator on the boundary of the essential spectrum. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 31 (2005) no. 1, pp. 107-112. http://geodesic.mathdoc.fr/item/IIMI_2005_31_1_a3/

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