在介电连续近似下,推导和讨论了任意层的耦合量子阱系统中的受限纵光学(LO)声子模与界面光学(IO)声子模.为了描述受限纵光学声子的振动,采用了一个正确的LO声子势函数,同时,为了处理系统中的界面光学声子,采用了行列式解线性方程组的方法,得到了量子化的LO与IO声子场以及它们的电-声子相互作用哈密顿.本项工作可以看作是对以前一些工作的普遍化,它提供了一种解决声子效应对多层耦合量子阱系统影响问题的统一方法.
Within the framework of the dielectric continuum approximation, the confined longitudinaloptical (LO) and interface optical (IO) phonon modes in an n-layer coupling quantum well system are deduced and discussed. To describe the vibrating of the LO phonons, a proper eigenfunction for LO phonon modes is adopted. To deal with the IO phonon modes, determinant methods are employed. The quantized LO and IO phonon fields as well as their corresponding electron-phonon interaction Hamiltonians are also derived. This work can be regarded as a generalization of some previous works, and it provides a uniform method to solve the phonon effects on the multi-layer coupling quantum well systems.
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