論文

査読有り
2007年4月

On multidimensional inverse scattering for stark hamiltonians

JOURNAL OF MATHEMATICAL PHYSICS
  • Tadayoshi Adachi
  • ,
  • Katsuhiro Maehara

48
4
開始ページ
042101 (12pp)
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1063/1.2713077
出版者・発行元
AMER INST PHYSICS

Based on the Enss-Weder ["The geometrical approach to multidimensional inverse scattering," J. Math. Phys. 36, 3902-3921 (1995)] time-dependent method, we study one of multidimensional inverse scattering problems for Stark Hamiltonians. We first show that when the space dimension is greater than or equal to 2, the high velocity limit of the scattering operator determines uniquely the potential such as vertical bar x vertical bar(-gamma) with gamma > 1/2 which is short range under the Stark effect. This is an improvement of previous results obtained by Nicoleau ["Inverse scattering for Stark Hamiltonians with short-range potentials," Asymptotic Anal. 35, 349-359 (2003)] and Weder ["Multidimensional inverse scattering in an electric field," J. Funct. Anal. 139, 441-465 (1996)]. Moreover, we prove that for a given long-range part of the potential under the Stark effect, the high velocity limit of the Dollard-type modified scattering operator determines uniquely the short-range part of the potential.(c) 2007 American Institute of Physics.

Web of Science ® 被引用回数 : 8

リンク情報
DOI
https://doi.org/10.1063/1.2713077
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000246072400001&DestApp=WOS_CPL

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