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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2004, Issue 1(29), Pages 85–94
(Mi iimi236)
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This article is cited in 6 scientific papers (total in 6 papers)
On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential
L. E. Morozova, Yu. P. Chuburin Udmurt State University, Izhevsk
Abstract:
We consider a one-dimensional discrete Schrödinger operator with a decreasing small potential. The existence of the unique level (eigenvalue or resonanse) near the boundary points $\pm 2$ of the essential spectrum is proved. We investigate the asymptotic behaviour of these levels.
Citation:
L. E. Morozova, Yu. P. Chuburin, “On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential”, Izv. IMI UdGU, 2004, no. 1(29), 85–94
Linking options:
https://www.mathnet.ru/eng/iimi236 https://www.mathnet.ru/eng/iimi/y2004/i1/p85
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Abstract page: | 399 | Full-text PDF : | 99 | References: | 87 |
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