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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)
References:
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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\paper The resolvent equation of the one-dimensional Schr\"odinger operator on the whole axis
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\issue 6
\pages 1201--1208
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\pages 957--964
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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