Geodesic
Local Perturbations of the Schr\"odinger Operator on the Plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 41-54

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

We obtain necessary and sufficient conditions for the appearance of a small eigenvalue of the Schrödinger operator on the plane under local operatorial excitations. In the case where the small eigenvalue exists, we construct its asymptotic behavior. We present examples.
Keywords: Schrödinger operator, small parameter, eigenvalue, asymptotic behavior.
Mots-clés : perturbation 
@article{TMF_2004_138_1_a3,
     author = {R. R. Gadyl'shin},
     title = {Local {Perturbations} of the {Schr\"odinger} {Operator} on the {Plane}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {41--54},
     publisher = {mathdoc},
     volume = {138},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a3/}
}
TY  - JOUR
AU  - R. R. Gadyl'shin
TI  - Local Perturbations of the Schr\"odinger Operator on the Plane
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2004
SP  - 41
EP  - 54
VL  - 138
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a3/
LA  - ru
ID  - TMF_2004_138_1_a3
ER  - 
%0 Journal Article
%A R. R. Gadyl'shin
%T Local Perturbations of the Schr\"odinger Operator on the Plane
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2004
%P 41-54
%V 138
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a3/
%G ru
%F TMF_2004_138_1_a3
R. R. Gadyl'shin. Local Perturbations of the Schr\"odinger Operator on the Plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 41-54. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a3/