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

被引：5

作者：

Aliev, A. R. ^{[1
]}

Eyvazov, E. H. ^{[1
]}

机构：

[1] Baku State Univ, Inst Math & Mech, Baku, Azerbaijan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 06期

关键词：

magnetic Schrodinger operator; quantum mechanics; magnetic potential; electric potential; resolvent equation; SPECTRUM;

D O I：

10.1134/S0037446612060018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under certain conditions on the magnetic and electric potentials, we prove that the corresponding one-dimensional magnetic Schrodinger operator on the whole axis is selfadjoint and establish that Fredholm theory is applicable to the resolvent equation of this operator.

引用

页码：957 / 964

页数：8

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