| 磁单极-氢原子系统的Yangian对称性和量子可积性 |
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| 引用本文： | 田立君,薛康.磁单极-氢原子系统的Yangian对称性和量子可积性[J].东北师大学报(自然科学版),2001,33(3):38-42. |
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| 作者姓名： | 田立君 薛康 |
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| 作者单位： | 东北师范大学物理系吉林长春 130024 |
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| 基金项目： | 教育部跨世纪人才项目，教育部优秀年轻教师基金资助项目 |
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| 摘 要： | 给出了磁单极-氢原子系统的Y（sl(2))的新实现，构造出相应的整体转移矩阵，结果表明该系统具有Y（sl(2))对称性和在RTT意义下的完全可积性。
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| 关 键 词： | 磁单极 氢原子 Yangian对称性 量子可积性 |
| 文章编号： | 1000-1832(2001)03-0038-05 |
| 修稿时间： | 2001年6月8日 |
Yangian symmetry and quantum integrability of the monopole-hydrogen atom system |
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| TIAN Li jun,XUE Kang.Yangian symmetry and quantum integrability of the monopole-hydrogen atom system[J].Journal of Northeast Normal University (Natural Science Edition),2001,33(3):38-42. |
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| Authors: | TIAN Li jun XUE Kang |
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| Abstract: | In order to explore the significance of the Yangian, it becomes more important to study whether simple physics systems have the Yangian and to find these systems and corresponding Yangian structures. In this paper, a new realization of Y(sl(2)) is given for the monopole-hydrogen atom system, which was extended from the general atom. Because of the finite number of conserved quantities, the system was truncated automatically and a correspordent transfer matrix is constructed. The results show that there are Y(sl(2)) symmetry and RTT integrability for the system. |
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| Keywords: | monopole hydrogen atom Yangian symmetry quatum integrability |
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