研究激子-声子相互作用问题的积分算符方法

本文以激子与极性声子的相互作用问题为例,提出采用积分算符方法来讨论激子-声子相互作用的动力学问题。这种方法与以前许多作者讨论该问题时采用的方法不同。本方法的特点是:除了能得到与实验测定值符合得较好的结合能数据外,还可以同时得到激子寿命,质心质量重整因子,以及这些量随温度的变化关系。该方法既适用于讨论1s态激子,也适用于高于1s的态;并且该方法还可较方便地推广到各向异性和简并价带情形。关键词：

AN INTEGRAL OPERATOR METHOD TO STUDY THE PROBLEM OF EXCITON-PHONON INTERACTION

In this article, taking the exciton and polar-phonon interaction as an example, we introduce an integral operator to deal with the dynamical problem of exciton-phonon interaction. Compared with the methods of earlier arthors, our method has some characteristics : besides the binding energies which agree with the measured data of experiments, the lifetime of excitons, the renormalization factors of translational masses, and the relation between these quantities and temperature, are obtained simultaneously. This method may be used not only for the Is state, but also the states higher than Is state. Furthermore, this method may be extended to the anisotropic case and the case of degenerate valence band conveniently.