Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2007), pp. 109-120
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N. I. Pletnikova. Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2007), pp. 109-120. http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/
@article{VUU_2007_1_a10,
author = {N. I. Pletnikova},
title = {Asymptotic behaviour of eigenfunctions of the {Schr\"odinger} operator with a non-local potential},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {109--120},
year = {2007},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/}
}
TY - JOUR
AU - N. I. Pletnikova
TI - Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential
JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY - 2007
SP - 109
EP - 120
IS - 1
UR - http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/
LA - ru
ID - VUU_2007_1_a10
ER -
%0 Journal Article
%A N. I. Pletnikova
%T Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2007
%P 109-120
%N 1
%U http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/
%G ru
%F VUU_2007_1_a10
The asymtotic formulas for the (generalized) eigenfunctions of the Schrödinger operator with a non-local steplike potential for $x\to\pm\infty$ is found. The connection between the transmission and the reflection coefficients is established.