Multidimensional inverse scattering in an electric field
Multidimensional inverse scattering in an electric field
复制标题
电场中的多维逆散射
DOI：
10.1006/jfan.1996.0092
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
R. Weder
中科院分区：
文献类型：
--
作者：
R. Weder
摘要证明了两体系统在恒定外电场中散射算符的高速极限唯一地决定了势。对于anN-body系统，我们证明了任一多拉德散射算子的高速极限唯一地决定了其势。进一步，我们得到了一个带误差项的势能重建公式。我们用一个简单的时间相关方法证明了我们的结果。
Abstract We prove that the high velocity limit of the scattering operator of a two-body system in an external constant electric field determines uniquely the potential. In the case of anN-body system we prove that the high velocity limit of any one of the Dollard scattering operators determines uniquely the potential. Furthermore, we obtain a formula with error term for the reconstruction of the potential. We prove our results with a simple time-dependent method.