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给出了一个基于Holstein-primakoff变换的自旋波理论研究正方点阵X-Y-Z模型的基态和激发态性质的方案。通过引入宇称变换算子和正则变换,实现了Hamiltonian的对角化,在线性近似下发现存在两支色散关系不同的自旋波。同时,求得了展开至S-1的修正项。A spin wave approach to study the anisotropic Heisenberg antiferromagnet is presented. By means of introducing a parity operator and canonical transformations, the Hamiltonian is diagonized, based on the Holstein-Primakoff transformation, to obtain dispersion relations of the spin waves. The terms of non-linear approximation effects for the ground state energy and the dispersion relations are also shown.
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