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

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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 
R. R. Gadyl'shin. Local Perturbations of the Schrödinger 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/
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