The solution transformations and properties of the -matrices for two-component systems under these transformations are analyzed in details. Not all transformed -matrices can be put into the Skalyanin's formalism. ...The solution transformations and properties of the -matrices for two-component systems under these transformations are analyzed in details. Not all transformed -matrices can be put into the Skalyanin's formalism. For those -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 axis or/and reflected with respect to some plane. In these cases, the transformed systems remain to be integrable.展开更多
The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additiona...The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additional terms appear in the Hamiltonian, and the spin of the system is rotated by some angle about axis under these transformations. In all the cases, the systems are still integrable if they are so before the transformation.展开更多
基金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
文摘The solution transformations and properties of the -matrices for two-component systems under these transformations are analyzed in details. Not all transformed -matrices can be put into the Skalyanin's formalism. For those -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 axis or/and reflected with respect to some plane. In these cases, the transformed systems remain to be integrable.
文摘The effects of solution transformations to the six- and eight-vertex systems are discussed. There are four kinds of effects, the Hamiltonian of the system is invariant, its coupling coefficients change, some additional terms appear in the Hamiltonian, and the spin of the system is rotated by some angle about axis under these transformations. In all the cases, the systems are still integrable if they are so before the transformation.
