Dunkl operator formalism for quantum many-body problems associated with classical root systems

被引：74
作者：
Hikami, K
机构：
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1996年 / 65卷 / 02期
关键词：
integrable system; inverse-square interaction; Yang-Baxter equation; reflection equation; root system; Hecke algebra; Dunkl operator; exclusion statistics;
D O I：
10.1143/JPSJ.65.394
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The integrable quantum many-body systems associated with the classical root systems are formulated in terms of the (trigonometric) Dunkl operators. We define the Dunkl operators by use of the infinite-dimensional representation of the R and K matrices for the Yang-Baxter equation and the reflection equation. The eigenvalues of systems are also given.
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页码：394 / 401
页数：8
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