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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 6, Pages 1201–1208 (Mi smj2376)  
This article is cited in 4 scientific papers (total in 4 papers)

The resolvent equation of the one-dimensional Schrödinger operator on the whole axis

A. R. Alievab, E. H. Eyvazova

a Baku State University, Baku, Azerbaijan
b Institute of Mathematics and Mechanics, Baku State University, Baku, Azerbaijan
Full-text PDF (281 kB) Citations (4)
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Abstract: Under certain conditions on the magnetic and electric potentials, we prove that the corresponding one-dimensional magnetic Schrödinger operator on the whole axis is selfadjoint and establish that Fredholm theory is applicable to the resolvent equation of this operator.
Keywords: magnetic Schrödinger operator, quantum mechanics, magnetic potential, electric potential, resolvent equatio.
Received: 29.12.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 6, Pages 957–964
DOI: https://doi.org/10.1134/S0037446612060018
Bibliographic databases:
Document Type: Article
UDC: 517.956.227
Language: Russian
Citation: A. R. Aliev, E. H. Eyvazov, “The resolvent equation of the one-dimensional Schrödinger operator on the whole axis”, Sibirsk. Mat. Zh., 53:6 (2012), 1201–1208; Siberian Math. J., 53:6 (2012), 957–964
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/smj2376
  • https://www.mathnet.ru/eng/smj/v53/i6/p1201
    • This publication is cited in the following 4 articles:
    1. O. O. Pokutnyi, “Boundary-Value Problems for the Evolutionary Schrödinger Equation. I”, J Math Sci, 249:4 (2020), 647  crossref
    2. El-Raheem Z.F.A., Salama F.A., “the Inverse Scattering Problem of Some Schrodinger Type Equation With Turning Point”, Bound. Value Probl., 2015, 57  crossref  mathscinet  zmath  isi  elib  scopus
    3. 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
    4. A. A. Pokutnyi, “Representation of the Solutions of Boundary-value Problems for the Schrödinger Equation in a Hilbert Space”, J Math Sci, 205:6 (2015), 821  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :129
    References:72
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