| タイトル | N-body long-range scattering matrix |
| 著者（日） | 蘆田, 聡平 |
| 著者（英） | Ashida, Sohei |
| 著者所属（日） | 学習院大学 |
| 著者所属（英） | Gakushuin University |
| 発行日 | 2022-07 |
| 発行機関など | Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University
広島大学大学院先進理工系科学研究科数学プログラム |
| 刊行物名 | Hiroshima mathematical journal |
| 巻 | 52 |
| 号 | 2 |
| 開始ページ | 177 |
| 終了ページ | 216 |
| 刊行年月日 | 2022-07 |
| 言語 | eng |
| 抄録 | We give a definition of scattering matrices based on the asymptotic behaviors of generalized eigenfunctions proving existence of radial limits of the functions and show that these scattering matrices are equivalent to the ones defined by wave operator approach in long-range N-body problems including the problems of Coulomb interaction potentials. Equivalence of stationary and time-dependent definitions of the generalized Fourier transforms is also shown. |
| キーワード | Schrodinger equation; scattering matrix; many-body problem; long-range potential |
| 資料種別 | Journal Article |
| NASA分類 | Theoretical Mathematics |
| ISSN | 0018-2079 |
| NCID | AA00664323 |
| SHI-NO | AA2240157003 |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/1124364 |
