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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 1, Pages 97–104
DOI: https://doi.org/10.4213/tmf349 (Mi tmf349) 		 
This article is cited in 55 scientific papers (total in 55 papers)

Local Perturbations of the Schrödinger Operator on the Axis

R. R. Gadyl'shin

Bashkir State Pedagogical University
Full-text PDF (201 kB) Citations (55)
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DOI: https://doi.org/10.4213/tmf349
Abstract: We present necessary and sufficient conditions for the existence of eigenvalues of the Schrödinger operator on an axis under small local perturbations. In the case where the eigenvalues exist, we construct their asymptotic approximations.
Keywords: Schrödinger operator, perturbation, eigenvalue, asymptotic approximation.
Received: 25.10.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 1, Pages 976–982
DOI: https://doi.org/10.1023/A:1019615509634
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “Local Perturbations of the Schrödinger Operator on the Axis”, TMF, 132:1 (2002), 97–104; Theoret. and Math. Phys., 132:1 (2002), 976–982
Citation in format AMSBIB
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\paper Local Perturbations of the Schr\"odinger Operator on the Axis
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 976--982
\crossref{https://doi.org/10.1023/A:1019615509634}
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  • https://www.mathnet.ru/eng/tmf/v132/i1/p97
    • This publication is cited in the following 55 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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