ダウンロード数 : ?
タイトルヨミ
ラダー キンジ デ トケル ソウタイロンテキ ソクバク モケイ ト ソレガ ラダー キンジ ニ ツイテ イミスル コト
日本語以外のタイトル
A Soluvable Composite Model m the Ladder Approximation and Its Implications about the Approximation
ファイル
言語
英語
著者
猪野 武敏
内容記述(抄録等)
We make a study to assess the accuracy of the ladder approximation, by employing a solvable twobodyb positron-theoretical composite model which is defined in terms of the Bethe-Salpeter equation in the ladder approxmation with various Fermi-type direct instantaneous interactions in 1 + 1 dimensional world. In this model, we obtain two sets of even- and odd-parity bound-state solutions. One set is obtained with a kind of renormalization of the coupling constant, and the other is gotten without any renormalization. We examine the wave functions of all the obtained bound-state solutions in detail, as they allow the probabilistic interpretation. Judging from some considerations, we have the following consequences: (A) the wave functton of the odd-parity bound-state solution obtained with a renormalization includes a remarkable and undesired feature (against a natural requirement) in the cases where the binding energy is large. This remarkable and undesired feature is owing to the inadeqeacy of the ladder approximation. (B) As for the remaining three bound-state solutions, qualitative features of their wave functions are acceptable. We suppose and emphasize that the ladder approximation (in the real world) may yield even undesired features against the physical requirements concerned with the wave functions (including the 3 + 1-dimensional generalization of a natural requirement stated above), at least in the case where the coupling constants of short-range interactions are renormalized.
掲載誌名
島根大学総合理工学部紀要. シリーズA
31
開始ページ
165
終了ページ
179
ISSN
13427113
発行日
1997-12-26
NCID
AA11157087
出版者
島根大学総合理工学部
出版者別表記
Interdisciplinary Faculty of Science and Engineering, Shimane University
資料タイプ
紀要論文
部局
(旧組織)大学院総合理工学研究科
備考
30-41+ / 1997-2007
他の一覧
このエントリーをはてなブックマークに追加