Inverse Spectral Problem for the Schrodinger Equation with an Additional Linear Potential

被引：3

作者：

Khanmamedov, A. Kh. ^{[1
,2
,3
]}

Makhmudova, M. G. ^{[1
]}

机构：

[1] Baku State Univ, Baku, Azerbaijan

[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

[3] Azerbaijan Univ, Baku, Azerbaijan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2020年 / 202卷 / 01期

关键词：

Schrodinger equation; additional linear potential; Airy function; transformation operator; Gelfand-Levitan equation; inverse scattering problem; HARMONIC-OSCILLATOR;

D O I：

10.1134/S0040577920010067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the one-dimensional Schrodinger equation with an additional linear potential on the whole axis and construct a transformation operator with a condition at -infinity. We obtain the fundamental integral Gelfand-Levitan equation on the half-axis (-infinity,x) and prove the unique solvability of this fundamental equation.

引用

页码：58 / 71

页数：14

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