The quantum Gaudin system

被引：56
|
作者：
Talalaev, DV
机构：
[1] Institute for Theoretical and Experimental Physics,
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2006年 / 40卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Gandin system; Yangian; Bethe subalgebra;
D O I：
10.1007/s10688-006-0012-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we explicitly construct the quantum gl(n) Gaudin model for general n and for a general number N of particles. To this end, we construct a commutative family in U(gl(n))(circle times N). When passing to the classical limit (which is the projection onto the associated graded algebra), our family gives the entire family of classical Gaudin Hamiltonians. The construction is based on the special limit of the Bethe subalgebra in the Yangian Y(gl(n)).
引用
收藏
页码：73 / 77
页数：5
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