| su（1,2） Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame |
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| 引用本文： | JIN Shuo,;XIE Bing-Hao,;YU Zhao-Xian,;HOU Jing-Min. su（1,2） Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame[J]. 理论物理通讯, 2008, 49(5): 1151-1154 |
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| 作者姓名： | JIN Shuo, XIE Bing-Hao, YU Zhao-Xian, HOU Jing-Min |
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| 作者单位： | [1]Department of Physics, School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; [2]Department of Physics, Beijing Information Science and Technology University, Beijing 100101, China; [3]Department of Physics, Southeast University, Nanjing 210096, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant Nos. 10447103 and 90305026, the Natural Science Foundation of Beijing under Grant No. 1072010, and the Foundation of Education Department of Beijing under Grant No. KM200610772007 |
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| 摘 要： | The XYZ antiferromagnetic model in linear spin-wave frame is shown explicitly to have an su（1,2） algebraic structure： the Hamiltonian can be written as a linear function of the su（1,2） algebra generators. Based on it, the energy eigenvalues are obta/ned by making use of the similar transformations, and the algebraic diagonalization method is investigated. Some numerical solutions are given, and the results indicate that only one group solution could be accepted in physics.
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| 关 键 词： | XYZ 反铁磁性模式 代数对角化方法 线性结构 |
| 收稿时间： | 2007-04-11 |
su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model inLinear Spin-Wave Frame |
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| JIN Shuo XIE Bing-Hao YU Zhao-Xian HOU Jing-Min. su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model inLinear Spin-Wave Frame[J]. Communications in Theoretical Physics, 2008, 49(5): 1151-1154 |
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| Authors: | JIN Shuo XIE Bing-Hao YU Zhao-Xian HOU Jing-Min |
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| Affiliation: | 1. Department of Physics, School of Science, Beijing Universityof Aeronautics and Astronautics, Beijing 100083, China;2. Department of Physics, Beijing Information Science and Technology University, Beijing 100101, China;3. Department of Physics, Southeast University, Nanjing 210096, China |
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| Abstract: | The XYZ antiferromagnetic model in linear spin-wave frame is shown explicitly to have an su(1,2) algebraicstructure: the Hamiltonian can be written as a linear function ofthe su(1,2) algebra generators. Based on it, the energy eigenvalues are obtained by making use of the similartransformations, and the algebraic diagonalization method isinvestigated. Some numerical solutions are given, and the resultsindicate that only one group solution could be accepted in physics. |
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| Keywords: | XYZ antiferromagnetic model algebraic diagonalization method |
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