Geodesic
Matrix Schr\"odinger Operator with $\delta$-Interactions
Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 59-77

Voir la notice de l'article provenant de la source Math-Net.Ru

The matrix Schrödinger operator with point interactions on the semiaxis is studied. Using the theory of boundary triplets and the corresponding Weyl functions, we establish a relationship between the spectral properties (deficiency indices, self-adjointness, semiboundedness, etc.) of the operators under study and block Jacobi matrices of certain class.
Keywords: Schrödinger operator, delta-interaction, self-adjointness, deficiency index.
Mots-clés : Jacobi matrix 
@article{MZM_2016_100_1_a4,
     author = {A. S. Kostenko and M. M. Malamud and D. D. Natyagajlo},
     title = {Matrix {Schr\"odinger} {Operator} with $\delta${-Interactions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {59--77},
     publisher = {mathdoc},
     volume = {100},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a4/}
}
TY  - JOUR
AU  - A. S. Kostenko
AU  - M. M. Malamud
AU  - D. D. Natyagajlo
TI  - Matrix Schr\"odinger Operator with $\delta$-Interactions
JO  - Matematičeskie zametki
PY  - 2016
SP  - 59
EP  - 77
VL  - 100
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a4/
LA  - ru
ID  - MZM_2016_100_1_a4
ER  - 
%0 Journal Article
%A A. S. Kostenko
%A M. M. Malamud
%A D. D. Natyagajlo
%T Matrix Schr\"odinger Operator with $\delta$-Interactions
%J Matematičeskie zametki
%D 2016
%P 59-77
%V 100
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a4/
%G ru
%F MZM_2016_100_1_a4
A. S. Kostenko; M. M. Malamud; D. D. Natyagajlo. Matrix Schr\"odinger Operator with $\delta$-Interactions. Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 59-77. http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a4/