Integrable three-body problems with two- and three-body interactions

Yasushi Komori, Kazuhiro Hikami

研究成果: ジャーナルへの寄稿学術誌査読

1 被引用数 (Scopus)

抄録

Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.

本文言語英語
ページ(範囲)1913-1923
ページ数11
ジャーナルJournal of Physics A: Mathematical and General
30
6
DOI
出版ステータス出版済み - 3月 21 1997
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学一般

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