Geodesic
Local Perturbations of the Schr\"odinger Operator on the Axis
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 97-104

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We present necessary and sufficient conditions for the existence of eigenvalues of the Schrödinger operator on an axis under small local perturbations. In the case where the eigenvalues exist, we construct their asymptotic approximations.
Keywords: Schrödinger operator, eigenvalue, asymptotic approximation.
Mots-clés : perturbation 
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     author = {R. R. Gadyl'shin},
     title = {Local {Perturbations} of the {Schr\"odinger} {Operator} on the {Axis}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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R. R. Gadyl'shin. Local Perturbations of the Schr\"odinger Operator on the Axis. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a5/