Geodesic
Levels of the Schr\"odinger operator with a perturbed non-local potential
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 98-104

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We investigate the one-dimensional Schrödinger operator with a potential that is a sum of a local potential and a two-rank operator. We prove that this Schrödinger operator has the unique level in the neighborhood of zero. The asimptotic behaviour of this level is investigated. 
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     author = {M. S. Smetanina},
     title = {Levels of the {Schr\"odinger} operator with a perturbed non-local potential},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a6/}
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M. S. Smetanina. Levels of the Schr\"odinger operator with a perturbed non-local potential. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 98-104. http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a6/