SCATTERING FOR THE FRACTIONAL MAGNETIC SCHR?DINGER OPERATORS

被引：0
|
作者：
魏磊
段志文
机构：
[1] SchoolofMathematicsandStatistics,HuazhongUniversityofScienceandTechnology
来源：
Acta Mathematica Scientia | 2024年 / 44卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper,we prove the existence of the scattering operator for the fractional magnetic Schrodinger operators.In order to do this,we construct the fractional distorted Fourier transforms with magnetic potentials.Applying the properties of the distorted Fourier transforms,the existence and the asymptotic completeness of the wave operators are obtained.Furthermore,we prove the absence of positive eigenvalues for fractional magnetic Schrodinger operators.
引用
收藏
页码：2391 / 2410
页数：20
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