本文提出一种多阱能量表象方法用来分析应变补偿多量子阱的价带结构。这一方法是把应变补偿多量子阱的价带Γ点z方向重轻空穴的能量本征函数作为基矢量建立能量表象，把非Γ点的重轻空穴的能量本征函数按这些基矢量进行傅里叶级数展开，带入Kohn-LuttingerHamiltonian(KLM)方程中得到相应的能量特征矩阵，进而得到其非Γ点的重轻空穴的能量本征值和相应的本征矢。与k.p方法相比，这一方法的优点在于能够有效地分析出阱数和阱间距离对应变补偿多量子阱的能带结构产生的影响，并且所得的能量特征矩阵的阶数要小得多，很容易在微机上进行运算。

The multi-well energy representation technique is developed for analyzing the valence band structures of strain-compensated multiple quantum well (SCQW) systems. Taking the energy eigenfunctions of both the heavy- and light-holes at the Γ point as the base vectors to set up the energy representation, we solve the Kohn-Luttinger Hamiltonian (KLM) equation in this representation, and obtain the quantized energy bands and the energy eigenvectors of both the heavy- and light-holes at the non- Γ points. By using this technique, the effects of the number of wells and the distance between wells on the valence band structures of SCQW systems can be analyzed efficiently, and the energy characteristic matrix obtained by this technique is much smaller than that of the k.p method, so the calculation can be performed more easily with a microcomputer.