Quasi-levels of the discrete Schr\"odinger equation with a~decreasing potential on a~graph
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 104-113
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We consider the discrete Schrödinger operator perturbed by a decreasing potential of the form
$\varepsilon V$ defined on a graph the nodes of which lie on the union of two intersected straight lines. We
prove that non-vanishing quasi-levels do not exist in the neighbourhood of zero for a small $\varepsilon$.
Keywords:
discrete Schrödinger equation, eigenvalue, resonance.
@article{VUU_2009_3_a8,
author = {T. S. Tinyukova and Yu. P. Chuburin},
title = {Quasi-levels of the discrete {Schr\"odinger} equation with a~decreasing potential on a~graph},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {104--113},
publisher = {mathdoc},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a8/}
}
TY - JOUR AU - T. S. Tinyukova AU - Yu. P. Chuburin TI - Quasi-levels of the discrete Schr\"odinger equation with a~decreasing potential on a~graph JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2009 SP - 104 EP - 113 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VUU_2009_3_a8/ LA - ru ID - VUU_2009_3_a8 ER -
%0 Journal Article %A T. S. Tinyukova %A Yu. P. Chuburin %T Quasi-levels of the discrete Schr\"odinger equation with a~decreasing potential on a~graph %J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki %D 2009 %P 104-113 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VUU_2009_3_a8/ %G ru %F VUU_2009_3_a8
T. S. Tinyukova; Yu. P. Chuburin. Quasi-levels of the discrete Schr\"odinger equation with a~decreasing potential on a~graph. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 104-113. http://geodesic.mathdoc.fr/item/VUU_2009_3_a8/