本文在量子力学教学改革探索与实践中加入了非厄米部分的讨论，将非互易哈密顿量的矩阵拆解为厄米哈密顿量和非互易微扰两部分，利用非简并微扰方法求解了能量本征值和本征态，发现所得结果与直接将非互易哈密顿量对角化后做展开的结果完全一致．这说明非互易哈密顿量与厄米量子理论存在一定联系．相信本文结果有助于进一步理解非互易哈密顿量的物理性质．

This paper incorporates the discussion of nonHermitian quantum systems into the exploration and practice of quantum mechanics teaching reform. It decomposes the matrix of nonreciprocal Hamiltonian into Hermitian Hamiltonian and nonreciprocal perturbation, and uses nondegenerate perturbation method to solve the energy eigenvalues and eigenstates. It is found that the obtained results are completely consistent with the results obtained by directly diagonalizing the nonreciprocal Hamiltonian and expanding it to secondorder approximation. This indicates that there is a certain connection between non reciprocal Hamiltonian and Hermitian quantum theory.   We believe that the results of this work will help further understand the physical properties of nonreciprocal Hamiltonian.