Geodesic
On levels of the one-dimensional Schrödinger operator on the boundary of the essential spectrum
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 91-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $H_n$. 
@article{IIMI_2006_2_a20,
     author = {N. I. Pletnikova},
     title = {On levels of the one-dimensional {Schr\"odinger} operator on the boundary of the essential spectrum},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {91--94},
     year = {2006},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2006_2_a20/}
}
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N. I. Pletnikova. On levels of the one-dimensional Schrödinger operator on the boundary of the essential spectrum. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 91-94. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a20/

[1] Chuburin Yu. P., “Ob operatore Shredingera s malym potentsialom tipa vozmuschennoi stupenki”, Teor. i mat. fizika, 120:2 (1999), 277–290 | MR | Zbl