論文

査読有り
2005年3月

Binding energy for hydrogen-like atoms in the Nelson model without cutoffs

JOURNAL OF FUNCTIONAL ANALYSIS
  • C Hainzl
  • ,
  • M Hirokawa
  • ,
  • H Spohn

220
2
開始ページ
424
終了ページ
459
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.jfa.2004.07.009
出版者・発行元
ACADEMIC PRESS INC ELSEVIER SCIENCE

In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge Ze, Z > 0, fixed at the origin and an electron of mass in and charge e. This system forms a bound state with binding energy E-bin= me(4)Z(2)/8pi(2) to leading order in e. We investigate the radiative corrections to the binding energy and prove upper and lower bounds which imply that E-bin = me(4)Z(2)/8pi(2) + c(0)e(6) + O(e(7) ln e) with explicit coefficient c(0) and independent of the ultraviolet cutoff. c(0) can be computed by perturbation theory, which however is only formal since for the Nelson Hamiltonian the smallest eigenvalue sits exactly at the bottom of the continuous spectrum. (C) 2004 Elsevier Inc. All rights reserved.

Web of Science ® 被引用回数 : 15

リンク情報
DOI
https://doi.org/10.1016/j.jfa.2004.07.009
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000227310300007&DestApp=WOS_CPL

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