| Landau-Lifschitz铁磁方程的Hamilton理论和规范变换 |
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| 引用本文： | 何进春,史丽娜,陈化,黄念宁.Landau-Lifschitz铁磁方程的Hamilton理论和规范变换[J].物理学报,2005,54(5):2007-2012. |
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| 作者姓名： | 何进春 史丽娜 陈化 黄念宁 |
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| 作者单位： | (1)武汉大学数学与统计学院，武汉 430072; (2)武汉大学物理学院，武汉 430072 |
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| 基金项目： | 国家自然科学基金(批准号:10375041，10025107)资助的课题. |
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| 摘 要： | 对完全各向同性Heisenberg铁磁链的LandauLifschitz方程的Hamilton理论建立中，Hamilton量的坐标积分和谱参数积分两种表示式不能协调地从单一守恒量导出的问题，利用规范变换完善地解决了.并可推广后处理非各向同性铁磁链的LandauLifschitz方程的Hamilton理论.
关键词：
规范变换
LandauLifschitz方程
守恒量
Hamilton理论
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| 关 键 词： | 规范变换 LandauLifschitz方程 守恒量 Hamilton理论 |
| 文章编号： | 1000-3290/2005/54(05)2007-06 |
| 收稿时间： | 2003-11-21 |
The Hamiltonian theory of Landau-Lifschitz equation and the gauge transformations |
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| He Jin-Chun,Shi Li-Na,Chen Hua,Huang Nian-Ning.The Hamiltonian theory of Landau-Lifschitz equation and the gauge transformations[J].Acta Physica Sinica,2005,54(5):2007-2012. |
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| Authors: | He Jin-Chun Shi Li-Na Chen Hua Huang Nian-Ning |
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| Abstract: | The coordinate and spectral integral representations of Hamiltonian in isotropic LandauLifschitz equation are given by a standard procedure.But,the problem of deriving the corresponding conserved quantity to connect two kinds of integral mentioned above is still open.In this paper,using the gauge invariance properties,the compatibility pair of LL equation is transformed to the form-ikσ3+O(1) by choosing an app ropriate tr ansformation.Hence,the conserved quantities are obtained.The zeroth conserved qu antity,I0,is zero.The first one,I1,which has coordinate an d spe ctral integral representations,coincide with the two desired integral representations of the Hamiltonian. |
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| Keywords: | gauge transformation LandauLifschitz equation conserved quantity Hamiltonian theory |
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