Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 91-94
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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/
@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},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIMI_2006_2_a20/}
}
TY - JOUR
AU - N. I. Pletnikova
TI - On levels of the one-dimensional Schrödinger operator on the boundary of the essential spectrum
JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY - 2006
SP - 91
EP - 94
IS - 2
UR - http://geodesic.mathdoc.fr/item/IIMI_2006_2_a20/
LA - ru
ID - IIMI_2006_2_a20
ER -
%0 Journal Article
%A N. I. Pletnikova
%T On levels of the one-dimensional Schrödinger operator on the boundary of the essential spectrum
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2006
%P 91-94
%N 2
%U http://geodesic.mathdoc.fr/item/IIMI_2006_2_a20/
%G ru
%F IIMI_2006_2_a20
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 $H_n$.
