Born approximation for the magnetic Schrodinger operator

被引：2

作者：

Serov, Valery ^{[1
]}

Harju, Markus ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, Oulu, Finland

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2019年 / 27卷 / 04期

基金：

芬兰科学院;

关键词：

Magnetic Schrodinger operator; scattering; Born approximation; inverse problems; numerical solution; INVERSE SCATTERING; GLOBAL UNIQUENESS; SINGULARITIES; RECOVERY; BACKSCATTERING; RECONSTRUCTION; EQUATION;

D O I：

10.1080/17415977.2018.1469626

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We prove the existence of scattering solutions for multidimensional magnetic Schrodinger equation such that the scattered field belongs to the weighted Lebesgue space with some . As a consequence of this we provide the mathematical foundation of the direct Born approximation for the magnetic Schrodinger operator. Connection to the inverse Born approximation is discussed with numerical examples illustrating the applicability of the method.

引用

页码：422 / 438

页数：17

共 28 条

[1]

Agmon S., 1975, Ann. Scuola Norm. Sup. Pisa Cl. Sci., V2, P151

[2] INVERSE SCATTERING PROBLEM FOR THE SCHRODINGER-EQUATION WITH MAGNETIC POTENTIAL AT A FIXED-ENERGY [J].