A. R. Aliev, E. H. Eyvazov, “The resolvent equation of the one-dimensional Schrödinger operator on the whole axis”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 6,Pages <nobr>1201

This article is cited in 4 papers

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

A. R. Aliev^ab, E. H. Eyvazov^a

^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.

UDC: 517.956.227

Received: 29.12.2011