Geodesic
Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 417-430 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain formulas for resonances and eigenvalues embedded in the continuous spectrum that are similar to formulas in the standard perturbation theory. We prove that although the imaginary part of the first-order correction to the eigenvalue embedded in the continuous spectrum is zero, the perturbed eigenfunction, as a rule, ceases to be square-summable.
Keywords: Schrodinger operator, perturbation theory, resonance, eigenvalue. 
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Yu. P. Chuburin. Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 417-430. http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a6/

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