| 离散的修正海森堡铁磁链方程的研究 |
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| 引用本文： | 田野,张峰,格日措毛.离散的修正海森堡铁磁链方程的研究[J].河北大学学报(自然科学版),2011,31(3):244-248. |
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| 作者姓名： | 田野 张峰 格日措毛 |
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| 作者单位： | 1. 河北北方学院理学院,河北,张家口,075000
2. 青海师范大学民族师范学院,青海,西宁,810008 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 对于离散的修正海森堡铁磁链方程,相关研究表明若将其自旋矢量用闵可夫斯基空间中的离散曲线的单位矢量代替,则可给出与其几何等价的可积微分-差分方程.通过规范变换具体证明了相关的离散修正海森堡铁磁链方程与其几何等价的可积微分-差分方程之间具有规范等价性关系.
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| 关 键 词： | 离散可积方程 离散的修正海森堡铁磁链方程 规范等价性 |
Investigation of Discrete Modified Heisenberg Ferromagnet Equation |
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| TIAN Ye,ZHANG Feng,Gericuomao.Investigation of Discrete Modified Heisenberg Ferromagnet Equation[J].Journal of Hebei University (Natural Science Edition),2011,31(3):244-248. |
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| Authors: | TIAN Ye ZHANG Feng Gericuomao |
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| Institution: | TIAN Ye1,ZHANG Feng1,Gericuomao2(1.College of Science,Hebei North University,Zhangjiakou 075000,China;2.Minority Normal College,Qinghai Normal University,Xining 810008,China) |
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| Abstract: | For the discrete integrable modified Heisenberg ferromagnet equation,it is known that the geometric equivalent integrable differential-difference equation can be obtained by identifying the spin vector with the unit vectors of discrete curve in Minkowski space.In this paper,we prove that there is the gauge equivalence between the discrete modified Heisenberg ferromagnet equation and the corresponding geometric equivalent differential-difference equation. |
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| Keywords: | discrete integrable equation discrete modified heisenberg ferromagnet equation gauge equivalence |
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