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利用界面重标度方法，求解了周期性边界条件下铁磁性双层模系统自旋波量子本征问题，得到了自旋波精确解，给出并讨论了自旋波界面模与完全局域模．
Using the interface re-scaling method, we solve the spin-wave quantum eigenproblem of a ferromagnetic bilayer system with periodic boundary conditions and obtain the exact solutions of the spin-waves. The spin-wave interface modes and the complete local area mold.