Geodesic
Local Perturbations of Quantum Waveguides
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 358-371

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We give necessary and sufficient conditions for the occurrence of eigenvalues of the Schrodinger operator in strips and cylinders under small localized perturbations. We construct asymptotic approximations for the eigenvalues.
Keywords: Schrodinger operator, waveguide, spectrum, asymptotic approximation.
Mots-clés : perturbation 
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     author = {R. R. Gadyl'shin},
     title = {Local {Perturbations} of {Quantum} {Waveguides}},
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R. R. Gadyl'shin. Local Perturbations of Quantum Waveguides. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 358-371. http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a3/