論文

査読有り
2013年8月

On multidimensional inverse scattering in time-dependent electric fields

Inverse Problems
  • Tadayoshi Adachi
  • ,
  • Yuko Fujiwara
  • ,
  • Atsuhide Ishida

29
8
開始ページ
85012 (24pp)
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0266-5611/29/8/085012

We study one of the multidimensional inverse scattering problems for quantum systems in time-dependent electric fields E(t), which is represented as E0(1 + |t|)-μ with 0 μ &lt
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 &gt
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 E0. © 2013 IOP Publishing Ltd.

リンク情報
DOI
https://doi.org/10.1088/0266-5611/29/8/085012
J-GLOBAL
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201402249086973359

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