Geodesic
Schrödinger operator with a perturbed small steplike potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 277-290 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Schrödinger operator with a potential that is periodic with respect to two variables and has the shape of a small step perturbed by a function decreasing with respect to a third variable. We show that under certain conditions on the magnitudes of the step and the perturbation, a unique level that can be an eigenvalue or a resonance exists near the essential spectrum. We find the asymptotic value of this level. 
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     author = {Yu. P. Chuburin},
     title = {Schr\"odinger operator with a perturbed small steplike potential},
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Yu. P. Chuburin. Schrödinger operator with a perturbed small steplike potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 277-290. http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a7/

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