論文

査読有り
2011年6月

On multidimensional inverse scattering in an external electric field asymptotically zero in time

INVERSE PROBLEMS
  • Tadayoshi Adachi
  • ,
  • Tatsuya Kamada
  • ,
  • Masayuki Kazuno
  • ,
  • Keisuke Toratani

27
6
開始ページ
65006 (17pp)
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0266-5611/27/6/065006
出版者・発行元
IOP PUBLISHING LTD

Based on the Enss-Weder time-dependent method, we study one of the multidimensional inverse scattering problems for quantum systems in an external electric field asymptotically zero in time as E(0)(1 + vertical bar t vertical bar)(-mu) with 0 < mu < 1, where E(0) is a non-zero constant electric field. 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 potential like vertical bar x vertical bar(-gamma) with gamma > 1/(2 - mu). Moreover, we prove that the high velocity limit of any one of the Dollard-type modified scattering operators determines uniquely the total potential.

Web of Science ® 被引用回数 : 5

リンク情報
DOI
https://doi.org/10.1088/0266-5611/27/6/065006
J-GLOBAL
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201202260510862758
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000291017300006&DestApp=WOS_CPL

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