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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 2, Pages 277–290
DOI: https://doi.org/10.4213/tmf775 (Mi tmf775) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Schrödinger operator with a perturbed small steplike potential

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (245 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf775
Abstract: 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.
Received: 27.11.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 1045–1057
DOI: https://doi.org/10.1007/BF02557411
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “Schrödinger operator with a perturbed small steplike potential”, TMF, 120:2 (1999), 277–290; Theoret. and Math. Phys., 120:2 (1999), 1045–1057
Citation in format AMSBIB
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\by Yu.~P.~Chuburin
\paper Schr\"odinger operator with a perturbed small steplike potential
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\pages 277--290
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 1045--1057
\crossref{https://doi.org/10.1007/BF02557411}
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  • https://www.mathnet.ru/eng/tmf/v120/i2/p277
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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