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

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Baku State University, Baku, Azerbaijan

    A. R. Aliev

  2. Baku State University, Baku, Azerbaijan

    E. H. Eyvazov

Authors
  1. A. R. Aliev
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  2. E. H. Eyvazov
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Correspondence to A. R. Aliev.

Additional information

Original Russian Text Copyright © 2012 Aliev A.R. and Eyvazov E.H.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 6, pp. 1201–1208, November–December, 2012.

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Aliev, A.R., Eyvazov, E.H. The resolvent equation of the one-dimensional Schrödinger operator on the whole axis. Sib Math J 53, 957–964 (2012). https://doi.org/10.1134/S0037446612060018

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  • DOI: https://doi.org/10.1134/S0037446612060018

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