(2+1)-Dimensional Integrable Heisenberg Supermagnet Model
(2+1)-Dimensional Integrable Heisenberg Supermagnet Model
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DOI：
10.1143/jpsj.81.094006
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发表时间：
2012-08
影响因子：
1.7
通讯作者：
Zhaowen Yan;Min-Ru Chen;Ke Wu;Wei-zhong Zhao
中科院分区：
文献类型：
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作者：
Zhaowen Yan;Min-Ru Chen;Ke Wu;Wei-zhong Zhao
海森堡超磁体模型是重要的超对称（1+1）维可积系统，可以看作是海森堡铁磁体模型的超扩展。我们研究了它们在高维上的可积性，并构造了关于超自旋变量的两种不同的二次约束的（2+1）维可积Heisenberg超磁体模型。通过规范变换，我们分别导出了它们的规范等价对应物，即（2+1）维格拉斯曼奇方程和超非线性薛定谔方程。
The Heisenberg supermagnet models which can be regarded as the superextensions of the Heisenberg ferromagnet model are the important supersymmetric (1+1)-dimensional integrable systems. We investigate their integrability in higher dimensions and construct the (2+1)-dimensional integrable Heisenberg supermagnet models with respect to two different quadratic constraints of the the superspin variable. By means of the gauge transformation, we derive their gauge equivalent counterparts, i.e., the (2+1)-dimensional Grassman odd and super nonlinear Schrodinger equation, respectively.