| Solution Transformations and Their Effects on the Systems with Open Boundary Conditions |
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| 作者姓名： | JUGuo－Xing ZhaoXian－Lin |
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| 作者单位： | [1]DepartmentofPhysics,NanjingUniversity,Nanjing210093,China [2]DepartmentofPhysics,HenanEducationCollege,Zhengzhou450003,China |
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| 基金项目： | Natural Science Foundation of Science and Technology Committee of Henan Proviuce，河南师范大学校科研和教改项目 |
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| 摘 要： | The solution transformations and properties of the R-matrices for two-component systems under these transformations are analyzed in details.Not all transformed R-matrices can be put into the Skalyanin‘s formalism.For those R-matrices with all required properties,the effects of solution transformations to the six-and eight-vertex systems with open boundary conditions are discussed.these effects can be one of the following types:the Hamiltonian is invariant or transposition-invariant or made in a similarity transformation,or its coupling coefficients are multiplied by an overall factor,or the spin of the system is rotated around the z axis or/and reflected with respect to some plane.In these cases,the transformed systems remain to be integrable.
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| 关 键 词： | 量子力学 Yang－Baxter方程 解变换 |
Solution Transformations and Their Effects on the Systems with Open Boundary Conditions |
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| JU Guo-Xing,ZHAO Xian-Lin.Solution Transformations and Their Effects on the Systems with Open Boundary Conditions[J].Communications in Theoretical Physics,2002,37(4):397-404. |
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| Authors: | JU Guo-Xing ZHAO Xian-Lin |
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| Abstract: | The solution transformations and properties of the R-matrices for two-component systems uner these transformations are analyzed in details.Not all transformed R-matrices can be put into the Skalyanin's formalism.For those R-matrices with all required properties,the effects of solution transformations to the six- and eight-vertex systems with open boundary conditions are discussed.These effects can be one of the following types: The Hamiltonian is invariant or transposition-invariant or made in a similarity transformation,or its coupling coefficients are multiplied by an overall factor,or the spin of the system is rotated around the z axis or/and reflected with respect to some plane.In these cases,the transformed systems remain to be integrable. |
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| Keywords: | Hamiltonian solution transformation integrability vertex model boundary Yang Baxter equa tion R-matrix K-matrix |
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