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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 402–416
DOI: https://doi.org/10.4213/mzm3773 (Mi mzm3773) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Spectrum and the Scattering Problem for the Schrödinger Operator in Magnetic Field

Kh. Kh. Murtazin, A. N. Galimov

Bashkir State University
Full-text PDF (497 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3773
Abstract: The main result of this paper is the proof of a nonexistence theorem on solutions with nonzero real singularities for the problem of scattering theory for the Schrödinger operator with magnetic and electric potentials.
Keywords: spectrum of the Schrödinger operator, Laplacian, scattering theory, electric potential, magnetic field, real singularity, resolvent equation.
Received: 18.09.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 364–377
DOI: https://doi.org/10.1134/S0001434608030073
Bibliographic databases:
UDC: 517.956.227
Language: Russian
Citation: Kh. Kh. Murtazin, A. N. Galimov, “The Spectrum and the Scattering Problem for the Schrödinger Operator in Magnetic Field”, Mat. Zametki, 83:3 (2008), 402–416; Math. Notes, 83:3 (2008), 364–377
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm3773
  • https://doi.org/10.4213/mzm3773
  • https://www.mathnet.ru/eng/mzm/v83/i3/p402
    • This publication is cited in the following 3 articles:
    1. Eyvazov E.H., “on the Properties of the Resolvent of Two-Dimensional Magnetic Schrodinger Operator”, Azerbaijan J. Math., 5:1 (2015), 13–28  mathscinet  zmath  isi  elib
    2. A. R. Aliev, E. H. Eyvazov, “The resolvent equation of the one-dimensional Schrödinger operator on the whole axis”, Siberian Math. J., 53:6 (2012), 957–964  mathnet  crossref  mathscinet  isi  elib  elib
    3. Galimov A.N., Murtazin Kh.Kh., “Analiticheskoe prodolzhenie resheniya zadachi teorii rasseyaniya dlya operatora Shredingera s magnitnym potentsialom”, Vestnik Bashkirskogo universiteta, 16:2 (2011), 322–325  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:107
    First page:10
     
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