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

被引：2
|
作者：
Komori, Y
Hikami, K
机构：
[1] Department of Physics, Graduate School of Science, University of Tokyo, Bunkyo, Tokyo 113
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 06期
关键词：
D O I：
10.1088/0305-4470/30/6/017
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Spin generalizations of both the elliptic Calogero-Marchioro-WoIfes model and the nonlinear Schrodinger 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 G(2). 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.
引用
收藏
页码：1913 / 1923
页数：11
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