Scattering for the fractional magnetic Schrödinger operators

被引：0
|
作者：
Wei, Lei [1 ]
Duan, Zhiwen [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 06期
关键词：
magnetic Schr & ouml; dinger operators; fractional; scattering; distorted Fourier transform; SCHRODINGER-OPERATORS; STRICHARTZ; POTENTIALS; LAPLACIAN;
D O I：
10.1007/s10473-024-0618-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the existence of the scattering operator for the fractional magnetic Schr & ouml;dinger 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 Schr & ouml;dinger operators.
引用
收藏
页码：2391 / 2410
页数：20
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