On multidimensional inverse scattering in time-dependent electric fields
On multidimensional inverse scattering in time-dependent electric fields
复制标题
瞬态电场中的多维逆散射
DOI：
10.1088/0266-5611/29/8/085012
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发表时间：
2013
期刊：
影响因子：
2.1
通讯作者：
A
中科院分区：
文献类型：
--
作者：
Adachi;T.;Fujiwara;Y.;Ishida;A
本文研究了含时电场E（t）中量子系统的多维逆散射问题之一，它表示为E0（1+ 1）。|不|）− μ，0 μ< 1，基于Enss-Weder时间相关方法。我们证明了当空间维数大于或等于2时，散射算子的高速极限唯一地决定了短程部分，|X| − γ，γ> 1/（2− μ）的势属于比阿达奇、Kamada、和野和寅谷给出的势更宽的一类。我们的方法也可以改善以前的结果的情况下，E（t）是周期的t与非零均值E0。
We study one of the multidimensional inverse scattering problems for quantum systems in time-dependent electric fields E (t), which is represented as E 0 (1+| t|)− μ with 0⩽ μ< 1, based on the Enss–Weder time-dependent method. We show that when the space dimension is greater than or equal to 2, the high velocity limit of the scattering operator determines uniquely the short-range part like| x|− γ with γ> 1/(2− μ) of the potential belonging to the class rather wider than the one given by Adachi, Kamada, Kazuno and Toratani. Our method can also improve previous results in the case where E (t) is periodic in t with non-zero mean E 0.