Inverse Spectral Problem for the One-Dimensional Stark Operator on the Semiaxis

被引：2
|
作者：
Latifova, A. R. [1 ,2 ,3 ]
Khanmamedov, A. Kh. [1 ,2 ,3 ]
机构：
[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan
[2] Baku State Univ, Baku, Azerbaijan
[3] Azerbaijan Univ, Baku, Azerbaijan
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 04期
关键词：
SCHRODINGER-EQUATION; HARMONIC-OSCILLATOR;
D O I：
10.1007/s11253-020-01801-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Stark operator T = -d(2)/dx(2) + x + q on the semiaxis 0 <= x < infinity with Dirichlet boundary condition at the origin. By the method of transformation operators, we study the direct and inverse spectral problems, deduce the main integral equation for the inverse problem, and prove that this equation is uniquely solvable. We also propose an effective algorithm of reconstruction of the perturbation potential.
引用
收藏
页码：568 / 584
页数：17
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