Inverse scattering problems for the Dirac operator on the line with partial knowledge of the potential

IF 1.4 3区 数学 Q1 MATHEMATICS
Ying Yang, Haiyan Jin, Guangsheng Wei
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引用次数: 0

Abstract

The inverse scattering problem for the Dirac equation on the real line are considered. It is shown that the potential on the real line is uniquely determined in terms of the mixed scattering data which consists of the knowledge of the potential on the right (left) half line of the real axis and the reflection coefficient from the right (left). In particular, neither the bound states or the bound state norming constants are needed. The method is based on a factorization of a scattering matrix.

具有部分位势的直线上狄拉克算子的逆散射问题
研究了狄拉克方程在实线上的逆散射问题。结果表明,混合散射数据是由实轴右(左)半线上的势和右(左)半线上的反射系数组成的,实线上的势是唯一确定的。特别是,既不需要约束状态,也不需要约束状态规范常数。该方法基于散射矩阵的因式分解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Analysis and Mathematical Physics
Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
0.00%
发文量
122
期刊介绍: Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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