論文

査読有り
2007年10月

Local resolvent estimates for N-body Stark Hamiltonians

LETTERS IN MATHEMATICAL PHYSICS
  • Tadayoshi Adachi

82
1
開始ページ
1
終了ページ
8
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s11005-007-0196-5
出版者・発行元
SPRINGER

For an N-body Stark Hamiltonian H =- Delta/2-| E| z+ V, the resolvent estimate parallel to < x >(-sigma' -1/4) (H -zeta)(-1) < x >(-sigma'- 1/4) parallel to(B)(L-2) <= C holds uniformly in zeta epsilon C with Re zeta epsilon I and Im zeta not equal 0, where sigma'>0, and I subset of R is a compact interval. This estimate is well known as the limiting absorption principle. In this paper, we report that by introducing the localization q0( x) = root 1- z < x > in the configuration space, a refined resolvent estimate parallel to < x >(-1 4) q0(x)( H -zeta)(-1) q0(x) < x >(-1/4) parallel to B( L-2) <= C holds uniformly in zeta epsilon C with Re zeta epsilon I and Im zeta not equal 0.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1007/s11005-007-0196-5
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000250980000001&DestApp=WOS_CPL

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