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.
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页码：58 / 71
页数：14
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