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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 358–371
DOI: https://doi.org/10.4213/tmf1905 (Mi tmf1905) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Local Perturbations of Quantum Waveguides

R. R. Gadyl'shin

Bashkir State Pedagogical University
Full-text PDF (259 kB) Citations (34)
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DOI: https://doi.org/10.4213/tmf1905
Abstract: We give necessary and sufficient conditions for the occurrence of eigenvalues of the Schrodinger operator in strips and cylinders under small localized perturbations. We construct asymptotic approximations for the eigenvalues.
Keywords: Schrodinger operator, waveguide, perturbation, spectrum, asymptotic approximation.
Received: 16.02.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1678–1690
DOI: https://doi.org/10.1007/s11232-005-0190-y
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “Local Perturbations of Quantum Waveguides”, TMF, 145:3 (2005), 358–371; Theoret. and Math. Phys., 145:3 (2005), 1678–1690
Citation in format AMSBIB
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\transl
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  • https://doi.org/10.4213/tmf1905
  • https://www.mathnet.ru/eng/tmf/v145/i3/p358
    • This publication is cited in the following 34 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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    References:51
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