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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 372–384
DOI: https://doi.org/10.4213/tmf1906 (Mi tmf1906) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential

A. R. Bikmetov, D. I. Borisov

Bashkir State Pedagogical University
Full-text PDF (256 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1906
Abstract: We study asymptotic properties of the discrete spectrum of the Schrodinger operator perturbed by a narrowly supported potential. The first terms of the asymptotic expansions in the small parameter equal to the width of the support of the potential are constructed for the eigenvalues and the corresponding eigenfunctions.
Keywords: Schrodinger operator, spectrum, perturbation, asymptotic expansion.
Received: 19.05.2004
Revised: 03.05.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1691–1702
DOI: https://doi.org/10.1007/s11232-005-0191-x
Bibliographic databases:
Language: Russian
Citation: A. R. Bikmetov, D. I. Borisov, “Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential”, TMF, 145:3 (2005), 372–384; Theoret. and Math. Phys., 145:3 (2005), 1691–1702
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf1906
  • https://doi.org/10.4213/tmf1906
  • https://www.mathnet.ru/eng/tmf/v145/i3/p372
    • This publication is cited in the following 3 articles:
    1. D.I. Borisov, R. Kh. Karimov, T. F. Sharapov, “Initial length scale estimate for waveguides with some random singular potentials”, Ufa Math. J., 7:2 (2015), 33–54  mathnet  crossref  isi  elib
    2. A. R. Bikmetov, T. R. Gadyl'shin, I. Kh. Khusnullin, “Perturbation by Slender Potential of Operators Associated with Sectorial Forms”, J Math Sci, 198:6 (2014), 677  crossref
    3. I. Kh. Khusnullin, “A perturbed boundary eigenvalue problem for the Schrödinger operator on an interval”, Comput. Math. Math. Phys., 50:4 (2010), 646–664  mathnet  crossref  mathscinet  adsnasa  isi
    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:124
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