中文摘要：

外磁场中的XYZ海森伯反铁磁模型，其哈密顿量在自旋波近似下具有so（3，2）李代数结构，利用代数对角化方法，可得到压缩态形式的能量本征态和相应的能量本征值，用此方法进一步讨论本征态的基本性质，并建立反铁磁模型与特定类型的双模耦合谐振子的联系．

英文摘要：

On the linear spin-wave frame, the XYZ antiferromagnetic Heisenberg model in an external magnetic field is proposed to have an so （3,2） algebraic structure. The energy eigenvalues and the squeezed state solutions are obtained by making use of algebraic diagonalization. Some properties of the energy eigenvalues are investigated. The connection with the model of the special two-mode harmonic oscillators is also established.