On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains

On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains
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关于某些广义可压缩海森堡自旋链的连续极限

DOI:
10.1007/1-4020-2190-9_45
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发表时间:
2004
期刊:
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影响因子:
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通讯作者:
R. Myrzakulov
R. Myrzakulov
中科院分区:
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文献类型:
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作者:
N. Serikbaev;Kur. R. Myrzakul;F. K. Rahimov;R. Myrzakulov

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我们研究了一些格子模型和连续海森堡自旋模型之间的联系。找到了某些广义可压缩Heisenberg自旋链的连续极限,并利用曲面微分几何的方法,构造了其中一个连续Heisenberg铁磁体方程的Lakshmanan等价解.
We study the connection between some lattice and continuous Heisenberg spin models. The continuous limits of some generalized compressible Heisenberg spin chains are found. Using the methods of differential geometry of surfaces, the Lakshmanan equivalent counterpart of one of the obtained continuous Heisenberg ferromagnet equation is constructed.