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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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