| Yq(sl(2))代数的进一步研究 |
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| 引用本文： | 苟立丹,薛康. Yq(sl(2))代数的进一步研究[J]. 东北师大学报(自然科学版), 2005, 37(4): 47-52 |
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| 作者姓名： | 苟立丹 薛康 |
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| 作者单位： | 长春理工大学物理系,吉林,长春,130022;东北师范大学物理学院,吉林,长春,130024 |
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| 基金项目： | 重庆市应用基础研究基金 |
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| 摘 要： | 将T(x)用x展开并强加了截断条件,即在T(x)的展开式中存在有关的x最高次幂.通过RTT关系求出矩阵元Tab(a,b=1,2)间的对易关系,从而得出了区别于简单量子代数的新代数关系,这是RTT意义下的一种新型的量子代数,称为Yq(sl(2))代数.根据Haldane-Shastry模型的有关理论,尝试讨论了XXZ模型的长程相互作用实现.主要是通过Yq(sl(2))代数的基本对易关系,确定了系数所必须满足的限制方程.
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| 关 键 词： | RTT关系 简单量子代数 Haldane-Shastry模型 长程相互作用 |
| 文章编号： | 1000-1832（2005）04-0047-06 |
| 收稿时间： | 2005-07-28 |
| 修稿时间： | 2005-07-28 |
The further research on Yq(sl(2)) algebras |
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| GOU Li-dan,XUE Kang. The further research on Yq(sl(2)) algebras[J]. Journal of Northeast Normal University (Natural Science Edition), 2005, 37(4): 47-52 |
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| Authors: | GOU Li-dan XUE Kang |
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| Affiliation: | 1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; 2. Faculty of Physics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | The content of this paper is that T(x) is extended by x and interrupted condition is imposed on T(x),that is to say,T(x) has the maximum power of x.The commutation can be obtained among the elemets T_(ab)(a,b=1,2) of two matrix fromm RTT relation.Accordingly the new algebras relations which are different from simple quantum are found algebras.This is a new kind of quantum algebras,which is temporarily called Y_q(sl(2)) algebras.Then the long-range interaction is discussed among the lattices.The commutation is made use of essential pertaining to Y_q(sl(2)) algebras and obtain the limiting equation,which the coefficients must comply to. |
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| Keywords: | RTT relation simple quantum algebras Haldane - Shastry model long - range interaction |
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