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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 6, Pages 1201–1208
(Mi smj2376)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2376 https://www.mathnet.ru/eng/smj/v53/i6/p1201
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