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 36 (2006) no. 2, pp. 91-94.

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We consider the one-dimensional Schrödinger operator $H_n$ with the non-local perturbed step potential. We prove that there exists the unique level (i.e. eigenvalue or resonance of the operator $H_n$) in the neighborhood of the boundary of the essential spectrum of the operator $H_n$. 
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     title = {On levels of the one-dimensional {Schr\"odinger} operator on the boundary of the essential spectrum},
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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 36 (2006) no. 2, pp. 91-94. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a20/

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